Equity Premium usings CAPE

#r "nuget: NovaSBE.Finance, 0.5.0"
#r "nuget: FSharp.Stats, 0.5.0"
#r "nuget: FSharp.Data, 5.0.2"
#r "nuget: Plotly.NET, 3.*"
#r "nuget: Plotly.NET.Interactive, 3.*"
#r "nuget: ExcelProvider,2.*"

open System
open NovaSBE.Finance
open NovaSBE.Finance.Utils
open FSharp.Stats
open Plotly.NET
open Plotly.NET.Interactive
open FSharp.Data
open NovaSBE.Finance.Ols
open FSharp.Interop.Excel

Environment.CurrentDirectory <- __SOURCE_DIRECTORY__

let goyal2022Id = "1g4LOaRj4TvwJr9RIaA_nwrXXWTOy46bP"
let sheetToCsv id sheet = $"https://docs.google.com/spreadsheets/d/{id}/gviz/tq?tqx=out:csv&sheet={sheet}"

download (sheetToCsv goyal2022Id "Monthly") "goyalMonthly.csv"

Shiller data

Download the excel file from Robert Shiller's website to your current directory.

download "http://www.econ.yale.edu/~shiller/data/ie_data.xls" "shiller_data.xls"

Now loading the excel data.

let [<Literal>] shillerFile = __SOURCE_DIRECTORY__ + "/shiller_data.xls"
type ShillerXls = ExcelFile<shillerFile,SheetName="Data",Range="A8:V2000",ForceString = true>

let shillerDate (x: ShillerXls.Row) =
    let year = int x.Date[..3]
    let month = 
        let m = x.Date[5..]
        if m = "1" then 10 else int m
    DateTime(year, month, 1)

type ShillerData = 
    { Month: DateTime
      CAPE: float
      Ret: float }
let shiller = 
    ShillerXls().Data 
    |> Seq.toList
    |> Seq.takeWhile (fun x -> 
        not (isNull x.Date) &&
        not (isNull x.D) && 
        not (isNull x.CAPE)
        )
    |> Seq.pairwise
    |> Seq.map (fun (x0, x1) ->
        let cape = 
            match x1.CAPE with
            | "NA" -> nan
            | cape -> cape |> float
        shillerDate x1,
        { Month = shillerDate x1
          CAPE = cape 
          Ret = (float x1.P + float x1.D / 12.0) / float x0.P - 1.0})
    |> Map     


/// Goyal and Welch Monthly Excel worksheet
let gwXlMd = CsvProvider<"goyalMonthly.csv",ResolutionFolder = __SOURCE_DIRECTORY__>.GetSample().Rows
let parseMonth (yyyyMM) = DateTime.ParseExact(string yyyyMM,"yyyyMM",Globalization.CultureInfo.InvariantCulture)

type Predictors =
    { Month: DateTime
      CAPE: float
      R: float }
let capePredictor=
    gwXlMd
    |> Seq.filter (fun x ->
        x.Yyyymm >= 188102 &&
        x.Yyyymm <= 202303)
    |> Seq.map (fun x ->
        let month = parseMonth x.Yyyymm
        let r =
            if month < DateTime(1927,1,1) then
                shiller[month].Ret - x.Rfree
            else
                x.CRSP_SPvw - x.Rfree
        { Month = month
          CAPE = shiller[month.AddMonths(-1)].CAPE 
          R = r })
    |> Seq.toArray

let crspRet = gwXlMd |> Seq.map (fun x -> parseMonth x.Yyyymm, x) |> Map

type ReturnPrediction = { Month: DateTime; R: float }
let muHistorical =
    let mutable acc = 0.0
    let mutable n = 0.0
    let mutable dt = shiller.Keys |> Seq.min
    [| while dt <= DateTime(2022,12,1) do 
        if dt < DateTime(1927,1,1) then 
          acc <- acc + shiller[dt].Ret - crspRet[dt].Rfree
        else
          acc <- acc + crspRet[dt].CRSP_SPvw - crspRet[dt].Rfree
        n <- n + 1.0
        dt <- dt.AddMonths(1)
        { Month = dt.AddMonths(1)
          R = acc / n}
    |]
let muHistoricalMap = muHistorical |> Seq.map (fun x -> x.Month, x.R) |> Map

Might have seen a chart like this before. Looks like CAPE is a good predictor.

let capeBarChart =
    capePredictor
    |> Seq.filter (fun x -> x.Month <= DateTime(2005,12,1))
    |> Seq.sortBy (fun x -> x.CAPE)
    |> Seq.splitInto 5
    |> Seq.map (fun xs -> 
        let cape = xs |> Seq.map (fun x -> x.CAPE) |> Seq.average
        let r = xs |> Seq.map (fun x -> x.R * 12.0) |> Seq.average
        $"%.2f{cape}", r)
    |> Chart.Column
    |> Chart.withXAxisStyle ("CAPE")
    |> Chart.withYAxisStyle ("Annualized Excess Return")
    |> Chart.withYAxis(LayoutObjects.LinearAxis.init(TickFormat = ".1%"))

capeBarChart

Though simple OLS results are not too special.

Ols("R~CAPE", capePredictor).fit().summary()

"=======================================================================================
Dep. Variable:                   R    R-squared:                0.002
Model:                         OLS    Adj. R-squared:           0.001
Method:              Least Squares    F-statistic:             3.4424
Date:                   2024-02-20    Prob (F-statistic):      0.0637
Time:                     12:52:14                                   
No. Observations:             1703                                   
Df Residuals:                 1701                                   
Df Model:                        1                                   
Covariance Type:         Nonrobust                                   
---------------------------------------------------------------------------------------
                   coef      std err            t       P>|t|       [0.025       0.975]
Intercept        0.0108        0.003        3.513    0.000455        0.005        0.017
CAPE            -0.0003        0.000       -1.855      0.0637       -0.001     1.74e-05
======================================================================================="

Until 2005

Ols("R~CAPE", 
    capePredictor 
    |> Array.filter (fun x -> x.Month <= DateTime(2005,12,1))).fit().summary()

"=======================================================================================
Dep. Variable:                   R    R-squared:                0.003
Model:                         OLS    Adj. R-squared:           0.003
Method:              Least Squares    F-statistic:             5.0264
Date:                   2024-02-20    Prob (F-statistic):      0.0251
Time:                     12:52:14                                   
No. Observations:             1499                                   
Df Residuals:                 1497                                   
Df Model:                        1                                   
Covariance Type:         Nonrobust                                   
---------------------------------------------------------------------------------------
                   coef      std err            t       P>|t|       [0.025       0.975]
Intercept        0.0123        0.003        3.647    0.000275        0.006        0.019
CAPE            -0.0004        0.000       -2.242      0.0251       -0.001    -5.42e-05
======================================================================================="

We can do rolling regressions.

let capePrediction (xs: array<Predictors>) =
    let mdl = Ols("R~CAPE",xs[..xs.Length-2]).fit()
    let lastObs = xs |> Array.last
    { Month = lastObs.Month 
      R = mdl.predict([lastObs])[0] }

capePrediction capePredictor[..100]

{ Month = 6/1/1889 12:00:00 AM
  R = -0.001028701056 }

Restricted predictor

let capePredictionRestricted (xs: array<Predictors>) =
    let mdl = Ols("R~CAPE",xs[..xs.Length-2]).fit()
    let lastObs = xs |> Array.last
    let slope = min 0.0 mdl.coefs["CAPE"]
    let prediction = max 0.0 (mdl.coefs["Intercept"] + slope * lastObs.CAPE)
    { Month = lastObs.Month 
      R = prediction }

Restricted vs. unrestricted predictions

let index1999 = capePredictor |> Array.findIndex (fun x -> x.Month = DateTime(1999,1,1))
printfn $"Unrestricted:\n{capePrediction capePredictor[..index1999]}"
printfn $"Restricted:\n{capePredictionRestricted capePredictor[..index1999]}"

Unrestricted:
{ Month = 1/1/1999 12:00:00 AM
  R = -0.005161117975 }
Restricted:
{ Month = 1/1/1999 12:00:00 AM
  R = 0.0 }

the CAPE predictons.

let cape1927Index =
    capePredictor
    |> Array.findIndex (fun x -> x.Month = DateTime(1927,1,1))

let muCAPE =
    [| for i = cape1927Index to capePredictor.Length-1 do 
        capePrediction capePredictor[..i] |]

Historical sample average.

Compare predictions

[ Chart.Line (muCAPE |> Array.map (fun x -> x.Month, 12.0*x.R),
              Name = "CAPE")
  Chart.Line (muHistorical |> Array.map (fun x -> x.Month, 12.0*x.R),
              Name = "Historical")]
|> Chart.combine

Accuracy

let muCAPEMap = muCAPE |> Array.map (fun x -> x.Month, x.R) |> Map

type PredictionCombo =
    { Month: DateTime 
      Actual: float 
      PredRegression: float 
      PredHistAvg: float }
let accuracyComps =
    [| for i = cape1927Index to capePredictor.Length-1 do
        let month = capePredictor[i].Month 
        {  Month = month
           Actual = 12.0*capePredictor[i].R 
           PredRegression = 12.0*muCAPEMap[month]
           PredHistAvg = 12.0*muHistoricalMap[month] }|]

accuracyComps
|> Array.filter (fun x ->
    x.Month = DateTime(1929,1,1) ||
    x.Month = DateTime(2000,1,1) ||
    x.Month = DateTime(2022,12,1))

[|{ Month = 1/1/1929 12:00:00 AM
    Actual = 0.624876
    PredRegression = 0.04718276909
    PredHistAvg = 0.04755984426 }; { Month = 1/1/2000 12:00:00 AM
                                     Actual = -0.64476
                                     PredRegression = -0.04524778738
                                     PredHistAvg = 0.06599267524 };
  { Month = 12/1/2022 12:00:00 AM
    Actual = -0.745008
    PredRegression = 0.02755284611
    PredHistAvg = 0.06546170231 }|]

root mean squared errors

let rmse xy = 
    xy 
    |> Array.averageBy (fun (x,y) -> (x - y) ** 2.0)
    |> sqrt

let rmses =
    [| for i = 1 to accuracyComps.Length-1 do 
        let mseCAPE = 
            accuracyComps[..i]
            |> Array.map (fun x -> x.Actual, x.PredRegression)
            |> rmse 
        let mseHist =
            accuracyComps[..i]
            |> Array.map (fun x -> x.Actual, x.PredHistAvg)
            |> rmse
        {| Month = accuracyComps[i].Month 
           mseCAPE = mseCAPE
           mseHist = mseHist |}|]

let rmseChart = 
    [ Chart.Line(rmses |> Array.map (fun x -> x.Month, x.mseCAPE),
                 Name ="CAPE")
      Chart.Line(rmses |> Array.map (fun x -> x.Month, x.mseHist),
                 Name = "Hist")]
    |> Chart.combine

rmseChart

The difference, much easier to interpret.

let rmsesDiffChart =
    rmses
    |> Array.map (fun x ->
        x.Month, (x.mseHist - x.mseCAPE))
    |> Chart.Line
    |> Chart.withTitle("Hist Avg. RMSE - CAPE RMSE")
    |> Chart.withYAxisStyle(TitleText="Positive means that CAPE has lower error")

rmsesDiffChart

OOS R2

let oosR2 (xs: seq<PredictionCombo>) =
    let sseHist = xs |> Seq.sumBy (fun x -> (x.Actual - x.PredHistAvg) ** 2.0)
    let sseRegression = xs |> Seq.sumBy (fun x -> (x.Actual - x.PredRegression) ** 2.0)
    1.0 - sseRegression / sseHist

Pre 2005

accuracyComps
|> Array.filter (fun x -> x.Month <= DateTime(2005,12,1))
|> oosR2

0.001295581388

Plot of OOS R2

let oosr2Chart =
    [| for i = 1 to accuracyComps.Length-1 do 
        accuracyComps[i].Month,
        accuracyComps[..i] |> oosR2 |]
    |> Array.filter (fun (dt, xs) -> dt <= DateTime(2005,12,1))
    |> Chart.Line
    |> Chart.withYAxis(LayoutObjects.LinearAxis.init(TickFormat = ".1%",TickVals = [| -0.01;0.0;0.01;0.02|]))
    |> Chart.withYAxisStyle(MinMax = (-0.01,0.02))
    |> Chart.withSize(Width=1000,Height=500)

oosr2Chart

namespace System

namespace NovaSBE

namespace NovaSBE.Finance

module Utils from NovaSBE.Finance

Multiple items
namespace FSharp

--------------------
namespace Microsoft.FSharp

namespace FSharp.Stats

namespace Plotly

namespace Plotly.NET

namespace Plotly.NET.Interactive

Multiple items
namespace FSharp.Data

--------------------
namespace Microsoft.FSharp.Data

module Ols from NovaSBE.Finance

namespace FSharp.Interop

namespace FSharp.Interop.Excel

type Environment = static member Exit: exitCode: int -> unit static member ExpandEnvironmentVariables: name: string -> string static member FailFast: message: string -> unit + 1 overload static member GetCommandLineArgs: unit -> string array static member GetEnvironmentVariable: variable: string -> string + 1 overload static member GetEnvironmentVariables: unit -> IDictionary + 1 overload static member GetFolderPath: folder: SpecialFolder -> string + 1 overload static member GetLogicalDrives: unit -> string array static member SetEnvironmentVariable: variable: string * value: string -> unit + 1 overload static member CommandLine: string ...
<summary>Provides information about, and means to manipulate, the current environment and platform. This class cannot be inherited.</summary>

property Environment.CurrentDirectory: string with get, set
<summary>Gets or sets the fully qualified path of the current working directory.</summary>
<exception cref="T:System.ArgumentException">Attempted to set to an empty string ("").</exception>
<exception cref="T:System.ArgumentNullException">Attempted to set to <see langword="null" />.</exception>
<exception cref="T:System.IO.IOException">An I/O error occurred.</exception>
<exception cref="T:System.IO.DirectoryNotFoundException">Attempted to set a local path that cannot be found.</exception>
<exception cref="T:System.Security.SecurityException">The caller does not have the appropriate permission.</exception>
<returns>The directory path.</returns>

val goyal2022Id: string

val sheetToCsv: id: 'a -> sheet: 'b -> string

val id: 'a

val sheet: 'b

val download: inputUrl: string -> outputFile: string -> unit

Multiple items
type LiteralAttribute = inherit Attribute new: unit -> LiteralAttribute

--------------------
new: unit -> LiteralAttribute

[<Literal>] val shillerFile: string = "D:\a\Teaching\Teaching\docs/shiller_data.xls"

type ShillerXls = obj

type ExcelFile = inherit ExcelFileInternal
<summary>Typed representation of data in an Excel file.</summary> <param name='FileName'>Location of the Excel file.</param> <param name='SheetName'>Name of sheet containing data. Defaults to first sheet.</param> <param name='Range'>Specification using `A1:D3` type addresses of one or more ranges. Defaults to use whole sheet.</param> <param name='HasHeaders'>Whether the range contains the names of the columns as its first line.</param> <param name='ForceString'>Specifies forcing data to be processed as strings. Defaults to `false`.</param>

Multiple items
[<Struct>] type Range = new: start: Index * ``end`` : Index -> unit member Equals: value: obj -> bool + 1 overload member GetHashCode: unit -> int member GetOffsetAndLength: length: int -> struct (int * int) member ToString: unit -> string static member EndAt: ``end`` : Index -> Range static member StartAt: start: Index -> Range member End: Index member Start: Index static member All: Range
<summary>Represents a range that has start and end indexes.</summary>

--------------------
Range ()
Range(start: Index, ``end`` : Index) : Range

val shillerDate: x: 'a -> DateTime

val x: 'a

val year: int

Multiple items
val int: value: 'T -> int (requires member op_Explicit)

--------------------
type int = int32

--------------------
type int<'Measure> = int

val month: int

val m: string

Multiple items
[<Struct>] type DateTime = new: year: int * month: int * day: int -> unit + 16 overloads member Add: value: TimeSpan -> DateTime member AddDays: value: float -> DateTime member AddHours: value: float -> DateTime member AddMicroseconds: value: float -> DateTime member AddMilliseconds: value: float -> DateTime member AddMinutes: value: float -> DateTime member AddMonths: months: int -> DateTime member AddSeconds: value: float -> DateTime member AddTicks: value: int64 -> DateTime ...
<summary>Represents an instant in time, typically expressed as a date and time of day.</summary>

--------------------
DateTime ()
   (+0 other overloads)
DateTime(ticks: int64) : DateTime
   (+0 other overloads)
DateTime(ticks: int64, kind: DateTimeKind) : DateTime
   (+0 other overloads)
DateTime(date: DateOnly, time: TimeOnly) : DateTime
   (+0 other overloads)
DateTime(year: int, month: int, day: int) : DateTime
   (+0 other overloads)
DateTime(date: DateOnly, time: TimeOnly, kind: DateTimeKind) : DateTime
   (+0 other overloads)
DateTime(year: int, month: int, day: int, calendar: Globalization.Calendar) : DateTime
   (+0 other overloads)
DateTime(year: int, month: int, day: int, hour: int, minute: int, second: int) : DateTime
   (+0 other overloads)
DateTime(year: int, month: int, day: int, hour: int, minute: int, second: int, kind: DateTimeKind) : DateTime
   (+0 other overloads)
DateTime(year: int, month: int, day: int, hour: int, minute: int, second: int, calendar: Globalization.Calendar) : DateTime
   (+0 other overloads)

type ShillerData = { Month: DateTime CAPE: float Ret: float }

Multiple items
val float: value: 'T -> float (requires member op_Explicit)

--------------------
type float = Double

--------------------
type float<'Measure> = float

val shiller: Map<DateTime,ShillerData>

Multiple items
namespace System.Data

--------------------
namespace Microsoft.FSharp.Data

Multiple items
module Seq from FSharp.Stats
<summary> Module to compute common statistical measure </summary>

--------------------
module Seq from Microsoft.FSharp.Collections

--------------------
type Seq = new: unit -> Seq static member geomspace: start: float * stop: float * num: int * ?IncludeEndpoint: bool -> float seq static member linspace: start: float * stop: float * num: int * ?IncludeEndpoint: bool -> float seq

--------------------
new: unit -> Seq

val toList: source: 'T seq -> 'T list

val takeWhile: predicate: ('T -> bool) -> source: 'T seq -> 'T seq

val x: ShillerData

val isNull: value: 'T -> bool (requires 'T: null)

ShillerData.CAPE: float

val pairwise: source: 'T seq -> ('T * 'T) seq

val map: mapping: ('T -> 'U) -> source: 'T seq -> 'U seq

val x0: ShillerData

val x1: ShillerData

val cape: float

val nan: float

Multiple items
module Map from FSharp.Stats
<summary> Module to strore specialised computations on maps </summary>

--------------------
module Map from Microsoft.FSharp.Collections

--------------------
type Map<'Key,'Value (requires comparison)> = interface IReadOnlyDictionary<'Key,'Value> interface IReadOnlyCollection<KeyValuePair<'Key,'Value>> interface IEnumerable interface IStructuralEquatable interface IComparable interface IEnumerable<KeyValuePair<'Key,'Value>> interface ICollection<KeyValuePair<'Key,'Value>> interface IDictionary<'Key,'Value> new: elements: ('Key * 'Value) seq -> Map<'Key,'Value> member Add: key: 'Key * value: 'Value -> Map<'Key,'Value> ...

--------------------
new: elements: ('Key * 'Value) seq -> Map<'Key,'Value>

val gwXlMd: CsvProvider<...>.Row seq
Goyal and Welch Monthly Excel worksheet

type CsvProvider
<summary>Typed representation of a CSV file.</summary> <param name='Sample'>Location of a CSV sample file or a string containing a sample CSV document.</param> <param name='Separators'>Column delimiter(s). Defaults to <c>,</c>.</param> <param name='InferRows'>Number of rows to use for inference. Defaults to <c>1000</c>. If this is zero, all rows are used.</param> <param name='Schema'>Optional column types, in a comma separated list. Valid types are <c>int</c>, <c>int64</c>, <c>bool</c>, <c>float</c>, <c>decimal</c>, <c>date</c>, <c>datetimeoffset</c>, <c>timespan</c>, <c>guid</c>, <c>string</c>, <c>int?</c>, <c>int64?</c>, <c>bool?</c>, <c>float?</c>, <c>decimal?</c>, <c>date?</c>, <c>datetimeoffset?</c>, <c>timespan?</c>, <c>guid?</c>, <c>int option</c>, <c>int64 option</c>, <c>bool option</c>, <c>float option</c>, <c>decimal option</c>, <c>date option</c>, <c>datetimeoffset option</c>, <c>timespan option</c>, <c>guid option</c> and <c>string option</c>. You can also specify a unit and the name of the column like this: <c>Name (type<unit>)</c>, or you can override only the name. If you don't want to specify all the columns, you can reference the columns by name like this: <c>ColumnName=type</c>.</param> <param name='HasHeaders'>Whether the sample contains the names of the columns as its first line.</param> <param name='IgnoreErrors'>Whether to ignore rows that have the wrong number of columns or which can't be parsed using the inferred or specified schema. Otherwise an exception is thrown when these rows are encountered.</param> <param name='SkipRows'>Skips the first n rows of the CSV file.</param> <param name='AssumeMissingValues'>When set to true, the type provider will assume all columns can have missing values, even if in the provided sample all values are present. Defaults to false.</param> <param name='PreferOptionals'>When set to true, inference will prefer to use the option type instead of nullable types, <c>double.NaN</c> or <c>""</c> for missing values. Defaults to false.</param> <param name='Quote'>The quotation mark (for surrounding values containing the delimiter). Defaults to <c>"</c>.</param> <param name='MissingValues'>The set of strings recognized as missing values specified as a comma-separated string (e.g., "NA,N/A"). Defaults to <c>NaN,NA,N/A,#N/A,:,-,TBA,TBD</c>.</param> <param name='CacheRows'>Whether the rows should be caches so they can be iterated multiple times. Defaults to true. Disable for large datasets.</param> <param name='Culture'>The culture used for parsing numbers and dates. Defaults to the invariant culture.</param> <param name='Encoding'>The encoding used to read the sample. You can specify either the character set name or the codepage number. Defaults to UTF8 for files, and to ISO-8859-1 the for HTTP requests, unless <c>charset</c> is specified in the <c>Content-Type</c> response header.</param> <param name='ResolutionFolder'>A directory that is used when resolving relative file references (at design time and in hosted execution).</param> <param name='EmbeddedResource'>When specified, the type provider first attempts to load the sample from the specified resource (e.g. 'MyCompany.MyAssembly, resource_name.csv'). This is useful when exposing types generated by the type provider.</param>

val parseMonth: yyyyMM: 'a -> DateTime

val yyyyMM: 'a

DateTime.ParseExact(s: string, format: string, provider: IFormatProvider) : DateTime
DateTime.ParseExact(s: string, formats: string array, provider: IFormatProvider, style: Globalization.DateTimeStyles) : DateTime
DateTime.ParseExact(s: string, format: string, provider: IFormatProvider, style: Globalization.DateTimeStyles) : DateTime
DateTime.ParseExact(s: ReadOnlySpan<char>, formats: string array, provider: IFormatProvider, ?style: Globalization.DateTimeStyles) : DateTime
DateTime.ParseExact(s: ReadOnlySpan<char>, format: ReadOnlySpan<char>, provider: IFormatProvider, ?style: Globalization.DateTimeStyles) : DateTime

Multiple items
val string: value: 'T -> string

--------------------
type string = String

namespace System.Globalization

Multiple items
type CultureInfo = interface ICloneable interface IFormatProvider new: culture: int -> unit + 3 overloads member ClearCachedData: unit -> unit member Clone: unit -> obj member Equals: value: obj -> bool member GetConsoleFallbackUICulture: unit -> CultureInfo member GetFormat: formatType: Type -> obj member GetHashCode: unit -> int member ToString: unit -> string ...
<summary>Provides information about a specific culture (called a locale for unmanaged code development). The information includes the names for the culture, the writing system, the calendar used, the sort order of strings, and formatting for dates and numbers.</summary>

--------------------
Globalization.CultureInfo(culture: int) : Globalization.CultureInfo
Globalization.CultureInfo(name: string) : Globalization.CultureInfo
Globalization.CultureInfo(culture: int, useUserOverride: bool) : Globalization.CultureInfo
Globalization.CultureInfo(name: string, useUserOverride: bool) : Globalization.CultureInfo

property Globalization.CultureInfo.InvariantCulture: Globalization.CultureInfo with get
<summary>Gets the <see cref="T:System.Globalization.CultureInfo" /> object that is culture-independent (invariant).</summary>
<returns>The object that is culture-independent (invariant).</returns>

type Predictors = { Month: DateTime CAPE: float R: float }

Predictors.R: float

val capePredictor: Predictors array

val filter: predicate: ('T -> bool) -> source: 'T seq -> 'T seq

val x: CsvProvider<...>.Row

val month: DateTime

val r: float

DateTime.AddMonths(months: int) : DateTime

val toArray: source: 'T seq -> 'T array

val crspRet: Map<DateTime,CsvProvider<...>.Row>

type ReturnPrediction = { Month: DateTime R: float }

ReturnPrediction.R: float

val muHistorical: ReturnPrediction array

val mutable acc: float

val mutable n: float

val mutable dt: DateTime

property Map.Keys: Collections.Generic.ICollection<DateTime> with get

val min: source: 'T seq -> 'T (requires comparison)

val muHistoricalMap: Map<DateTime,float>

val x: ReturnPrediction

ReturnPrediction.Month: DateTime

val capeBarChart: GenericChart.GenericChart

val x: Predictors

Predictors.Month: DateTime

val sortBy: projection: ('T -> 'Key) -> source: 'T seq -> 'T seq (requires comparison)

Predictors.CAPE: float

val splitInto: count: int -> source: 'T seq -> 'T array seq

val xs: Predictors array

val average: source: 'T seq -> 'T (requires member (+) and member DivideByInt and member Zero)

type Chart = static member AnnotatedHeatmap: zData: #('a1 seq) seq * annotationText: #(string seq) seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?Name: string * [<Optional; DefaultParameterValue ((null :> obj))>] ?ShowLegend: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?Opacity: float * [<Optional; DefaultParameterValue ((null :> obj))>] ?X: #IConvertible seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?XGap: int * [<Optional; DefaultParameterValue ((null :> obj))>] ?Y: #IConvertible seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?YGap: int * [<Optional; DefaultParameterValue ((null :> obj))>] ?Text: 'a5 * [<Optional; DefaultParameterValue ((null :> obj))>] ?MultiText: 'a5 seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?ColorBar: ColorBar * [<Optional; DefaultParameterValue ((null :> obj))>] ?ColorScale: Colorscale * [<Optional; DefaultParameterValue ((null :> obj))>] ?ShowScale: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?ReverseScale: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?ZSmooth: SmoothAlg * [<Optional; DefaultParameterValue ((null :> obj))>] ?Transpose: bool * [<Optional; DefaultParameterValue ((false :> obj))>] ?UseWebGL: bool * [<Optional; DefaultParameterValue ((false :> obj))>] ?ReverseYAxis: bool * [<Optional; DefaultParameterValue ((true :> obj))>] ?UseDefaults: bool -> GenericChart (requires 'a1 :> IConvertible and 'a5 :> IConvertible) + 1 overload static member Area: x: #IConvertible seq * y: #IConvertible seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?ShowMarkers: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?Name: string * [<Optional; DefaultParameterValue ((null :> obj))>] ?ShowLegend: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?Opacity: float * [<Optional; DefaultParameterValue ((null :> obj))>] ?MultiOpacity: float seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?Text: 'a2 * [<Optional; DefaultParameterValue ((null :> obj))>] ?MultiText: 'a2 seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?TextPosition: TextPosition * [<Optional; DefaultParameterValue ((null :> obj))>] ?MultiTextPosition: TextPosition seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?MarkerColor: Color * [<Optional; DefaultParameterValue ((null :> obj))>] ?MarkerColorScale: Colorscale * [<Optional; DefaultParameterValue ((null :> obj))>] ?MarkerOutline: Line * [<Optional; DefaultParameterValue ((null :> obj))>] ?MarkerSymbol: MarkerSymbol * [<Optional; DefaultParameterValue ((null :> obj))>] ?MultiMarkerSymbol: MarkerSymbol seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?Marker: Marker * [<Optional; DefaultParameterValue ((null :> obj))>] ?LineColor: Color * [<Optional; DefaultParameterValue ((null :> obj))>] ?LineColorScale: Colorscale * [<Optional; DefaultParameterValue ((null :> obj))>] ?LineWidth: float * [<Optional; DefaultParameterValue ((null :> obj))>] ?LineDash: DrawingStyle * [<Optional; DefaultParameterValue ((null :> obj))>] ?Line: Line * [<Optional; DefaultParameterValue ((null :> obj))>] ?StackGroup: string * [<Optional; DefaultParameterValue ((null :> obj))>] ?Orientation: Orientation * [<Optional; DefaultParameterValue ((null :> obj))>] ?GroupNorm: GroupNorm * [<Optional; DefaultParameterValue ((null :> obj))>] ?FillColor: Color * [<Optional; DefaultParameterValue ((false :> obj))>] ?UseWebGL: bool * [<Optional; DefaultParameterValue ((true :> obj))>] ?UseDefaults: bool -> GenericChart (requires 'a2 :> IConvertible) + 1 overload static member Bar: values: #IConvertible seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?Keys: #IConvertible seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?Name: string * [<Optional; DefaultParameterValue ((null :> obj))>] ?ShowLegend: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?Opacity: float * [<Optional; DefaultParameterValue ((null :> obj))>] ?MultiOpacity: float seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?Text: 'a2 * [<Optional; DefaultParameterValue ((null :> obj))>] ?MultiText: 'a2 seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?MarkerColor: Color * [<Optional; DefaultParameterValue ((null :> obj))>] ?MarkerColorScale: Colorscale * [<Optional; DefaultParameterValue ((null :> obj))>] ?MarkerOutline: Line * [<Optional; DefaultParameterValue ((null :> obj))>] ?MarkerPatternShape: PatternShape * [<Optional; DefaultParameterValue ((null :> obj))>] ?MultiMarkerPatternShape: PatternShape seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?MarkerPattern: Pattern * [<Optional; DefaultParameterValue ((null :> obj))>] ?Marker: Marker * [<Optional; DefaultParameterValue ((null :> obj))>] ?Base: #IConvertible * [<Optional; DefaultParameterValue ((null :> obj))>] ?Width: 'a4 * [<Optional; DefaultParameterValue ((null :> obj))>] ?MultiWidth: 'a4 seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?TextPosition: TextPosition * [<Optional; DefaultParameterValue ((null :> obj))>] ?MultiTextPosition: TextPosition seq * [<Optional; DefaultParameterValue ((true :> obj))>] ?UseDefaults: bool -> GenericChart (requires 'a2 :> IConvertible and 'a4 :> IConvertible) + 1 overload static member BoxPlot: [<Optional; DefaultParameterValue ((null :> obj))>] ?X: #IConvertible seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?Y: #IConvertible seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?Name: string * [<Optional; DefaultParameterValue ((null :> obj))>] ?ShowLegend: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?Text: 'a2 * [<Optional; DefaultParameterValue ((null :> obj))>] ?MultiText: 'a2 seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?FillColor: Color * [<Optional; DefaultParameterValue ((null :> obj))>] ?MarkerColor: Color * [<Optional; DefaultParameterValue ((null :> obj))>] ?Marker: Marker * [<Optional; DefaultParameterValue ((null :> obj))>] ?Opacity: float * [<Optional; DefaultParameterValue ((null :> obj))>] ?WhiskerWidth: float * [<Optional; DefaultParameterValue ((null :> obj))>] ?BoxPoints: BoxPoints * [<Optional; DefaultParameterValue ((null :> obj))>] ?BoxMean: BoxMean * [<Optional; DefaultParameterValue ((null :> obj))>] ?Jitter: float * [<Optional; DefaultParameterValue ((null :> obj))>] ?PointPos: float * [<Optional; DefaultParameterValue ((null :> obj))>] ?Orientation: Orientation * [<Optional; DefaultParameterValue ((null :> obj))>] ?OutlineColor: Color * [<Optional; DefaultParameterValue ((null :> obj))>] ?OutlineWidth: float * [<Optional; DefaultParameterValue ((null :> obj))>] ?Outline: Line * [<Optional; DefaultParameterValue ((null :> obj))>] ?AlignmentGroup: string * [<Optional; DefaultParameterValue ((null :> obj))>] ?OffsetGroup: string * [<Optional; DefaultParameterValue ((null :> obj))>] ?Notched: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?NotchWidth: float * [<Optional; DefaultParameterValue ((null :> obj))>] ?QuartileMethod: QuartileMethod * [<Optional; DefaultParameterValue ((true :> obj))>] ?UseDefaults: bool -> GenericChart (requires 'a2 :> IConvertible) + 2 overloads static member Bubble: x: #IConvertible seq * y: #IConvertible seq * sizes: int seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?Name: string * [<Optional; DefaultParameterValue ((null :> obj))>] ?ShowLegend: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?Opacity: float * [<Optional; DefaultParameterValue ((null :> obj))>] ?MultiOpacity: float seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?Text: 'a2 * [<Optional; DefaultParameterValue ((null :> obj))>] ?MultiText: 'a2 seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?TextPosition: TextPosition * [<Optional; DefaultParameterValue ((null :> obj))>] ?MultiTextPosition: TextPosition seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?MarkerColor: Color * [<Optional; DefaultParameterValue ((null :> obj))>] ?MarkerColorScale: Colorscale * [<Optional; DefaultParameterValue ((null :> obj))>] ?MarkerOutline: Line * [<Optional; DefaultParameterValue ((null :> obj))>] ?MarkerSymbol: MarkerSymbol * [<Optional; DefaultParameterValue ((null :> obj))>] ?MultiMarkerSymbol: MarkerSymbol seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?Marker: Marker * [<Optional; DefaultParameterValue ((null :> obj))>] ?LineColor: Color * [<Optional; DefaultParameterValue ((null :> obj))>] ?LineColorScale: Colorscale * [<Optional; DefaultParameterValue ((null :> obj))>] ?LineWidth: float * [<Optional; DefaultParameterValue ((null :> obj))>] ?LineDash: DrawingStyle * [<Optional; DefaultParameterValue ((null :> obj))>] ?Line: Line * [<Optional; DefaultParameterValue ((null :> obj))>] ?StackGroup: string * [<Optional; DefaultParameterValue ((null :> obj))>] ?Orientation: Orientation * [<Optional; DefaultParameterValue ((null :> obj))>] ?GroupNorm: GroupNorm * [<Optional; DefaultParameterValue ((false :> obj))>] ?UseWebGL: bool * [<Optional; DefaultParameterValue ((true :> obj))>] ?UseDefaults: bool -> GenericChart (requires 'a2 :> IConvertible) + 1 overload static member Candlestick: ``open`` : #IConvertible seq * high: #IConvertible seq * low: #IConvertible seq * close: #IConvertible seq * x: #IConvertible seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?Name: string * [<Optional; DefaultParameterValue ((null :> obj))>] ?ShowLegend: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?Opacity: float * [<Optional; DefaultParameterValue ((null :> obj))>] ?Text: 'a5 * [<Optional; DefaultParameterValue ((null :> obj))>] ?MultiText: 'a5 seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?Line: Line * [<Optional; DefaultParameterValue ((null :> obj))>] ?IncreasingColor: Color * [<Optional; DefaultParameterValue ((null :> obj))>] ?Increasing: FinanceMarker * [<Optional; DefaultParameterValue ((null :> obj))>] ?DecreasingColor: Color * [<Optional; DefaultParameterValue ((null :> obj))>] ?Decreasing: FinanceMarker * [<Optional; DefaultParameterValue ((null :> obj))>] ?WhiskerWidth: float * [<Optional; DefaultParameterValue ((true :> obj))>] ?UseDefaults: bool -> GenericChart (requires 'a5 :> IConvertible) + 1 overload static member Column: values: #IConvertible seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?Keys: #IConvertible seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?Name: string * [<Optional; DefaultParameterValue ((null :> obj))>] ?ShowLegend: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?Opacity: float * [<Optional; DefaultParameterValue ((null :> obj))>] ?MultiOpacity: float seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?Text: 'a2 * [<Optional; DefaultParameterValue ((null :> obj))>] ?MultiText: 'a2 seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?MarkerColor: Color * [<Optional; DefaultParameterValue ((null :> obj))>] ?MarkerColorScale: Colorscale * [<Optional; DefaultParameterValue ((null :> obj))>] ?MarkerOutline: Line * [<Optional; DefaultParameterValue ((null :> obj))>] ?MarkerPatternShape: PatternShape * [<Optional; DefaultParameterValue ((null :> obj))>] ?MultiMarkerPatternShape: PatternShape seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?MarkerPattern: Pattern * [<Optional; DefaultParameterValue ((null :> obj))>] ?Marker: Marker * [<Optional; DefaultParameterValue ((null :> obj))>] ?Base: #IConvertible * [<Optional; DefaultParameterValue ((null :> obj))>] ?Width: 'a4 * [<Optional; DefaultParameterValue ((null :> obj))>] ?MultiWidth: 'a4 seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?TextPosition: TextPosition * [<Optional; DefaultParameterValue ((null :> obj))>] ?MultiTextPosition: TextPosition seq * [<Optional; DefaultParameterValue ((true :> obj))>] ?UseDefaults: bool -> GenericChart (requires 'a2 :> IConvertible and 'a4 :> IConvertible) + 1 overload static member Contour: zData: #('a1 seq) seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?Name: string * [<Optional; DefaultParameterValue ((null :> obj))>] ?ShowLegend: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?Opacity: float * [<Optional; DefaultParameterValue ((null :> obj))>] ?X: #IConvertible seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?Y: #IConvertible seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?Text: 'a4 * [<Optional; DefaultParameterValue ((null :> obj))>] ?MultiText: 'a4 seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?ColorBar: ColorBar * [<Optional; DefaultParameterValue ((null :> obj))>] ?ColorScale: Colorscale * [<Optional; DefaultParameterValue ((null :> obj))>] ?ShowScale: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?ReverseScale: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?Transpose: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?ContourLineColor: Color * [<Optional; DefaultParameterValue ((null :> obj))>] ?ContourLineDash: DrawingStyle * [<Optional; DefaultParameterValue ((null :> obj))>] ?ContourLineSmoothing: float * [<Optional; DefaultParameterValue ((null :> obj))>] ?ContourLine: Line * [<Optional; DefaultParameterValue ((null :> obj))>] ?ContoursColoring: ContourColoring * [<Optional; DefaultParameterValue ((null :> obj))>] ?ContoursOperation: ConstraintOperation * [<Optional; DefaultParameterValue ((null :> obj))>] ?ContoursType: ContourType * [<Optional; DefaultParameterValue ((null :> obj))>] ?ShowContourLabels: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?ContourLabelFont: Font * [<Optional; DefaultParameterValue ((null :> obj))>] ?Contours: Contours * [<Optional; DefaultParameterValue ((null :> obj))>] ?FillColor: Color * [<Optional; DefaultParameterValue ((null :> obj))>] ?NContours: int * [<Optional; DefaultParameterValue ((true :> obj))>] ?UseDefaults: bool -> GenericChart (requires 'a1 :> IConvertible and 'a4 :> IConvertible) static member Funnel: x: #IConvertible seq * y: #IConvertible seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?Name: string * [<Optional; DefaultParameterValue ((null :> obj))>] ?ShowLegend: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?Opacity: float * [<Optional; DefaultParameterValue ((null :> obj))>] ?Width: float * [<Optional; DefaultParameterValue ((null :> obj))>] ?Offset: float * [<Optional; DefaultParameterValue ((null :> obj))>] ?Text: 'a2 * [<Optional; DefaultParameterValue ((null :> obj))>] ?MultiText: 'a2 seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?TextPosition: TextPosition * [<Optional; DefaultParameterValue ((null :> obj))>] ?MultiTextPosition: TextPosition seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?Orientation: Orientation * [<Optional; DefaultParameterValue ((null :> obj))>] ?AlignmentGroup: string * [<Optional; DefaultParameterValue ((null :> obj))>] ?OffsetGroup: string * [<Optional; DefaultParameterValue ((null :> obj))>] ?MarkerColor: Color * [<Optional; DefaultParameterValue ((null :> obj))>] ?MarkerOutline: Line * [<Optional; DefaultParameterValue ((null :> obj))>] ?Marker: Marker * [<Optional; DefaultParameterValue ((null :> obj))>] ?TextInfo: TextInfo * [<Optional; DefaultParameterValue ((null :> obj))>] ?ConnectorLineColor: Color * [<Optional; DefaultParameterValue ((null :> obj))>] ?ConnectorLineStyle: DrawingStyle * [<Optional; DefaultParameterValue ((null :> obj))>] ?ConnectorFillColor: Color * [<Optional; DefaultParameterValue ((null :> obj))>] ?ConnectorLine: Line * [<Optional; DefaultParameterValue ((null :> obj))>] ?Connector: FunnelConnector * [<Optional; DefaultParameterValue ((null :> obj))>] ?InsideTextFont: Font * [<Optional; DefaultParameterValue ((null :> obj))>] ?OutsideTextFont: Font * [<Optional; DefaultParameterValue ((true :> obj))>] ?UseDefaults: bool -> GenericChart (requires 'a2 :> IConvertible) static member Heatmap: zData: #('a1 seq) seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?Name: string * [<Optional; DefaultParameterValue ((null :> obj))>] ?ShowLegend: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?Opacity: float * [<Optional; DefaultParameterValue ((null :> obj))>] ?X: #IConvertible seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?XGap: int * [<Optional; DefaultParameterValue ((null :> obj))>] ?Y: #IConvertible seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?YGap: int * [<Optional; DefaultParameterValue ((null :> obj))>] ?Text: 'a4 * [<Optional; DefaultParameterValue ((null :> obj))>] ?MultiText: 'a4 seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?ColorBar: ColorBar * [<Optional; DefaultParameterValue ((null :> obj))>] ?ColorScale: Colorscale * [<Optional; DefaultParameterValue ((null :> obj))>] ?ShowScale: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?ReverseScale: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?ZSmooth: SmoothAlg * [<Optional; DefaultParameterValue ((null :> obj))>] ?Transpose: bool * [<Optional; DefaultParameterValue ((false :> obj))>] ?UseWebGL: bool * [<Optional; DefaultParameterValue ((false :> obj))>] ?ReverseYAxis: bool * [<Optional; DefaultParameterValue ((true :> obj))>] ?UseDefaults: bool -> GenericChart (requires 'a1 :> IConvertible and 'a4 :> IConvertible) + 1 overload ...

static member Chart.Column: keysValues: (#IConvertible * #IConvertible) seq * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Name: string * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?ShowLegend: bool * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Opacity: float * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?MultiOpacity: float seq * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Text: 'a2 * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?MultiText: 'a2 seq * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?MarkerColor: Color * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?MarkerColorScale: StyleParam.Colorscale * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?MarkerOutline: Line * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?MarkerPatternShape: StyleParam.PatternShape * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?MultiMarkerPatternShape: StyleParam.PatternShape seq * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?MarkerPattern: TraceObjects.Pattern * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Marker: TraceObjects.Marker * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Base: #IConvertible * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Width: 'a4 * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?MultiWidth: 'a4 seq * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?TextPosition: StyleParam.TextPosition * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?MultiTextPosition: StyleParam.TextPosition seq * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((true :> obj))>] ?UseDefaults: bool -> GenericChart.GenericChart (requires 'a2 :> IConvertible and 'a4 :> IConvertible)
static member Chart.Column: values: #IConvertible seq * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Keys: #IConvertible seq * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Name: string * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?ShowLegend: bool * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Opacity: float * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?MultiOpacity: float seq * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Text: 'a2 * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?MultiText: 'a2 seq * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?MarkerColor: Color * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?MarkerColorScale: StyleParam.Colorscale * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?MarkerOutline: Line * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?MarkerPatternShape: StyleParam.PatternShape * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?MultiMarkerPatternShape: StyleParam.PatternShape seq * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?MarkerPattern: TraceObjects.Pattern * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Marker: TraceObjects.Marker * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Base: #IConvertible * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Width: 'a4 * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?MultiWidth: 'a4 seq * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?TextPosition: StyleParam.TextPosition * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?MultiTextPosition: StyleParam.TextPosition seq * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((true :> obj))>] ?UseDefaults: bool -> GenericChart.GenericChart (requires 'a2 :> IConvertible and 'a4 :> IConvertible)

static member Chart.withXAxisStyle: [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?TitleText: string * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?TitleFont: Font * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?TitleStandoff: int * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Title: Title * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Color: Color * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?AxisType: StyleParam.AxisType * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?MinMax: (#IConvertible * #IConvertible) * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Mirror: StyleParam.Mirror * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?ShowSpikes: bool * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?SpikeColor: Color * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?SpikeThickness: int * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?ShowLine: bool * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?LineColor: Color * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?ShowGrid: bool * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?GridColor: Color * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?ZeroLine: bool * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?ZeroLineColor: Color * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Anchor: StyleParam.LinearAxisId * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Side: StyleParam.Side * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Overlaying: StyleParam.LinearAxisId * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Domain: (float * float) * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Position: float * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?CategoryOrder: StyleParam.CategoryOrder * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?CategoryArray: #IConvertible seq * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?RangeSlider: LayoutObjects.RangeSlider * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?RangeSelector: LayoutObjects.RangeSelector * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?BackgroundColor: Color * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?ShowBackground: bool * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Id: StyleParam.SubPlotId -> (GenericChart.GenericChart -> GenericChart.GenericChart)

static member Chart.withYAxisStyle: [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?TitleText: string * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?TitleFont: Font * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?TitleStandoff: int * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Title: Title * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Color: Color * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?AxisType: StyleParam.AxisType * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?MinMax: (#IConvertible * #IConvertible) * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Mirror: StyleParam.Mirror * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?ShowSpikes: bool * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?SpikeColor: Color * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?SpikeThickness: int * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?ShowLine: bool * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?LineColor: Color * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?ShowGrid: bool * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?GridColor: Color * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?ZeroLine: bool * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?ZeroLineColor: Color * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Anchor: StyleParam.LinearAxisId * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Side: StyleParam.Side * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Overlaying: StyleParam.LinearAxisId * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Domain: (float * float) * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Position: float * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?CategoryOrder: StyleParam.CategoryOrder * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?CategoryArray: #IConvertible seq * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?RangeSlider: LayoutObjects.RangeSlider * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?RangeSelector: LayoutObjects.RangeSelector * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?BackgroundColor: Color * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?ShowBackground: bool * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Id: StyleParam.SubPlotId -> (GenericChart.GenericChart -> GenericChart.GenericChart)

static member Chart.withYAxis: yAxis: LayoutObjects.LinearAxis * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Id: StyleParam.SubPlotId -> (GenericChart.GenericChart -> GenericChart.GenericChart)

namespace Plotly.NET.LayoutObjects

Multiple items
type LinearAxis = inherit DynamicObj new: unit -> LinearAxis static member init: [<Optional; DefaultParameterValue ((null :> obj))>] ?Visible: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?Color: Color * [<Optional; DefaultParameterValue ((null :> obj))>] ?Title: Title * [<Optional; DefaultParameterValue ((null :> obj))>] ?AxisType: AxisType * [<Optional; DefaultParameterValue ((null :> obj))>] ?AutoTypeNumbers: AutoTypeNumbers * [<Optional; DefaultParameterValue ((null :> obj))>] ?AutoRange: AutoRange * [<Optional; DefaultParameterValue ((null :> obj))>] ?RangeMode: RangeMode * [<Optional; DefaultParameterValue ((null :> obj))>] ?Range: Range * [<Optional; DefaultParameterValue ((null :> obj))>] ?FixedRange: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?ScaleAnchor: LinearAxisId * [<Optional; DefaultParameterValue ((null :> obj))>] ?ScaleRatio: float * [<Optional; DefaultParameterValue ((null :> obj))>] ?Constrain: AxisConstraint * [<Optional; DefaultParameterValue ((null :> obj))>] ?ConstrainToward: AxisConstraintDirection * [<Optional; DefaultParameterValue ((null :> obj))>] ?Matches: LinearAxisId * [<Optional; DefaultParameterValue ((null :> obj))>] ?Rangebreaks: Rangebreak seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickMode: TickMode * [<Optional; DefaultParameterValue ((null :> obj))>] ?NTicks: int * [<Optional; DefaultParameterValue ((null :> obj))>] ?Tick0: #IConvertible * [<Optional; DefaultParameterValue ((null :> obj))>] ?DTick: #IConvertible * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickVals: #IConvertible seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickText: #IConvertible seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?Ticks: TickOptions * [<Optional; DefaultParameterValue ((null :> obj))>] ?TicksOn: CategoryTickAnchor * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickLabelMode: TickLabelMode * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickLabelPosition: TickLabelPosition * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickLabelOverflow: TickLabelOverflow * [<Optional; DefaultParameterValue ((null :> obj))>] ?Mirror: Mirror * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickLen: int * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickWidth: int * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickColor: Color * [<Optional; DefaultParameterValue ((null :> obj))>] ?ShowTickLabels: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?AutoMargin: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?ShowSpikes: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?SpikeColor: Color * [<Optional; DefaultParameterValue ((null :> obj))>] ?SpikeThickness: int * [<Optional; DefaultParameterValue ((null :> obj))>] ?SpikeDash: DrawingStyle * [<Optional; DefaultParameterValue ((null :> obj))>] ?SpikeMode: SpikeMode * [<Optional; DefaultParameterValue ((null :> obj))>] ?SpikeSnap: SpikeSnap * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickFont: Font * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickAngle: int * [<Optional; DefaultParameterValue ((null :> obj))>] ?ShowTickPrefix: ShowTickOption * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickPrefix: string * [<Optional; DefaultParameterValue ((null :> obj))>] ?ShowTickSuffix: ShowTickOption * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickSuffix: string * [<Optional; DefaultParameterValue ((null :> obj))>] ?ShowExponent: ShowExponent * [<Optional; DefaultParameterValue ((null :> obj))>] ?ExponentFormat: ExponentFormat * [<Optional; DefaultParameterValue ((null :> obj))>] ?MinExponent: float * [<Optional; DefaultParameterValue ((null :> obj))>] ?SeparateThousands: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickFormat: string * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickFormatStops: TickFormatStop seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?HoverFormat: string * [<Optional; DefaultParameterValue ((null :> obj))>] ?ShowLine: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?LineColor: Color * [<Optional; DefaultParameterValue ((null :> obj))>] ?LineWidth: float * [<Optional; DefaultParameterValue ((null :> obj))>] ?ShowGrid: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?GridColor: Color * [<Optional; DefaultParameterValue ((null :> obj))>] ?GridWidth: float * [<Optional; DefaultParameterValue ((null :> obj))>] ?ZeroLine: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?ZeroLineColor: Color * [<Optional; DefaultParameterValue ((null :> obj))>] ?ZeroLineWidth: float * [<Optional; DefaultParameterValue ((null :> obj))>] ?ShowDividers: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?DividerColor: Color * [<Optional; DefaultParameterValue ((null :> obj))>] ?DividerWidth: int * [<Optional; DefaultParameterValue ((null :> obj))>] ?Anchor: LinearAxisId * [<Optional; DefaultParameterValue ((null :> obj))>] ?Side: Side * [<Optional; DefaultParameterValue ((null :> obj))>] ?Overlaying: LinearAxisId * [<Optional; DefaultParameterValue ((null :> obj))>] ?Layer: Layer * [<Optional; DefaultParameterValue ((null :> obj))>] ?Domain: Range * [<Optional; DefaultParameterValue ((null :> obj))>] ?Position: float * [<Optional; DefaultParameterValue ((null :> obj))>] ?CategoryOrder: CategoryOrder * [<Optional; DefaultParameterValue ((null :> obj))>] ?CategoryArray: #IConvertible seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?UIRevision: #IConvertible * [<Optional; DefaultParameterValue ((null :> obj))>] ?RangeSlider: RangeSlider * [<Optional; DefaultParameterValue ((null :> obj))>] ?RangeSelector: RangeSelector * [<Optional; DefaultParameterValue ((null :> obj))>] ?Calendar: Calendar * [<Optional; DefaultParameterValue ((null :> obj))>] ?BackgroundColor: Color * [<Optional; DefaultParameterValue ((null :> obj))>] ?ShowBackground: bool -> LinearAxis static member initCarpet: [<Optional; DefaultParameterValue ((null :> obj))>] ?Color: Color * [<Optional; DefaultParameterValue ((null :> obj))>] ?Title: Title * [<Optional; DefaultParameterValue ((null :> obj))>] ?AxisType: AxisType * [<Optional; DefaultParameterValue ((null :> obj))>] ?AutoTypeNumbers: AutoTypeNumbers * [<Optional; DefaultParameterValue ((null :> obj))>] ?AutoRange: AutoRange * [<Optional; DefaultParameterValue ((null :> obj))>] ?RangeMode: RangeMode * [<Optional; DefaultParameterValue ((null :> obj))>] ?Range: Range * [<Optional; DefaultParameterValue ((null :> obj))>] ?FixedRange: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickMode: TickMode * [<Optional; DefaultParameterValue ((null :> obj))>] ?NTicks: int * [<Optional; DefaultParameterValue ((null :> obj))>] ?Tick0: #IConvertible * [<Optional; DefaultParameterValue ((null :> obj))>] ?DTick: #IConvertible * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickVals: #IConvertible seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickText: #IConvertible seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?Ticks: TickOptions * [<Optional; DefaultParameterValue ((null :> obj))>] ?ShowTickLabels: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickFont: Font * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickAngle: int * [<Optional; DefaultParameterValue ((null :> obj))>] ?ShowTickPrefix: ShowTickOption * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickPrefix: string * [<Optional; DefaultParameterValue ((null :> obj))>] ?ShowTickSuffix: ShowTickOption * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickSuffix: string * [<Optional; DefaultParameterValue ((null :> obj))>] ?ShowExponent: ShowExponent * [<Optional; DefaultParameterValue ((null :> obj))>] ?ExponentFormat: ExponentFormat * [<Optional; DefaultParameterValue ((null :> obj))>] ?MinExponent: float * [<Optional; DefaultParameterValue ((null :> obj))>] ?SeparateThousands: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickFormat: string * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickFormatStops: TickFormatStop seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?ShowLine: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?LineColor: Color * [<Optional; DefaultParameterValue ((null :> obj))>] ?LineWidth: float * [<Optional; DefaultParameterValue ((null :> obj))>] ?ShowGrid: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?GridColor: Color * [<Optional; DefaultParameterValue ((null :> obj))>] ?GridWidth: float * [<Optional; DefaultParameterValue ((null :> obj))>] ?CategoryOrder: CategoryOrder * [<Optional; DefaultParameterValue ((null :> obj))>] ?CategoryArray: #IConvertible seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?ArrayDTick: int * [<Optional; DefaultParameterValue ((null :> obj))>] ?ArrayTick0: int * [<Optional; DefaultParameterValue ((null :> obj))>] ?CheaterType: CheaterType * [<Optional; DefaultParameterValue ((null :> obj))>] ?EndLine: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?EndLineColor: Color * [<Optional; DefaultParameterValue ((null :> obj))>] ?EndLineWidth: int * [<Optional; DefaultParameterValue ((null :> obj))>] ?LabelPadding: int * [<Optional; DefaultParameterValue ((null :> obj))>] ?LabelPrefix: string * [<Optional; DefaultParameterValue ((null :> obj))>] ?LabelSuffix: string * [<Optional; DefaultParameterValue ((null :> obj))>] ?MinorGridColor: Color * [<Optional; DefaultParameterValue ((null :> obj))>] ?MinorGridCount: int * [<Optional; DefaultParameterValue ((null :> obj))>] ?MinorGridWidth: int * [<Optional; DefaultParameterValue ((null :> obj))>] ?Smoothing: float * [<Optional; DefaultParameterValue ((null :> obj))>] ?StartLine: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?StartLineColor: Color * [<Optional; DefaultParameterValue ((null :> obj))>] ?StartLineWidth: int -> LinearAxis static member initCategorical: categoryOrder: CategoryOrder * [<Optional; DefaultParameterValue ((null :> obj))>] ?Visible: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?Color: Color * [<Optional; DefaultParameterValue ((null :> obj))>] ?Title: Title * [<Optional; DefaultParameterValue ((null :> obj))>] ?AutoTypeNumbers: AutoTypeNumbers * [<Optional; DefaultParameterValue ((null :> obj))>] ?AutoRange: AutoRange * [<Optional; DefaultParameterValue ((null :> obj))>] ?RangeMode: RangeMode * [<Optional; DefaultParameterValue ((null :> obj))>] ?Range: Range * [<Optional; DefaultParameterValue ((null :> obj))>] ?FixedRange: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?ScaleAnchor: LinearAxisId * [<Optional; DefaultParameterValue ((null :> obj))>] ?ScaleRatio: float * [<Optional; DefaultParameterValue ((null :> obj))>] ?Constrain: AxisConstraint * [<Optional; DefaultParameterValue ((null :> obj))>] ?ConstrainToward: AxisConstraintDirection * [<Optional; DefaultParameterValue ((null :> obj))>] ?Matches: LinearAxisId * [<Optional; DefaultParameterValue ((null :> obj))>] ?Rangebreaks: Rangebreak seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickMode: TickMode * [<Optional; DefaultParameterValue ((null :> obj))>] ?NTicks: int * [<Optional; DefaultParameterValue ((null :> obj))>] ?Tick0: #IConvertible * [<Optional; DefaultParameterValue ((null :> obj))>] ?DTick: #IConvertible * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickVals: #IConvertible seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickText: #IConvertible seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?Ticks: TickOptions * [<Optional; DefaultParameterValue ((null :> obj))>] ?TicksOn: CategoryTickAnchor * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickLabelMode: TickLabelMode * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickLabelPosition: TickLabelPosition * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickLabelOverflow: TickLabelOverflow * [<Optional; DefaultParameterValue ((null :> obj))>] ?Mirror: Mirror * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickLen: int * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickWidth: int * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickColor: Color * [<Optional; DefaultParameterValue ((null :> obj))>] ?ShowTickLabels: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?AutoMargin: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?ShowSpikes: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?SpikeColor: Color * [<Optional; DefaultParameterValue ((null :> obj))>] ?SpikeThickness: int * [<Optional; DefaultParameterValue ((null :> obj))>] ?SpikeDash: DrawingStyle * [<Optional; DefaultParameterValue ((null :> obj))>] ?SpikeMode: SpikeMode * [<Optional; DefaultParameterValue ((null :> obj))>] ?SpikeSnap: SpikeSnap * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickFont: Font * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickAngle: int * [<Optional; DefaultParameterValue ((null :> obj))>] ?ShowTickPrefix: ShowTickOption * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickPrefix: string * [<Optional; DefaultParameterValue ((null :> obj))>] ?ShowTickSuffix: ShowTickOption * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickSuffix: string * [<Optional; DefaultParameterValue ((null :> obj))>] ?ShowExponent: ShowExponent * [<Optional; DefaultParameterValue ((null :> obj))>] ?ExponentFormat: ExponentFormat * [<Optional; DefaultParameterValue ((null :> obj))>] ?MinExponent: float * [<Optional; DefaultParameterValue ((null :> obj))>] ?SeparateThousands: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickFormat: string * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickFormatStops: TickFormatStop seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?HoverFormat: string * [<Optional; DefaultParameterValue ((null :> obj))>] ?ShowLine: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?LineColor: Color * [<Optional; DefaultParameterValue ((null :> obj))>] ?LineWidth: float * [<Optional; DefaultParameterValue ((null :> obj))>] ?ShowGrid: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?GridColor: Color * [<Optional; DefaultParameterValue ((null :> obj))>] ?GridWidth: float * [<Optional; DefaultParameterValue ((null :> obj))>] ?ZeroLine: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?ZeroLineColor: Color * [<Optional; DefaultParameterValue ((null :> obj))>] ?ZeroLineWidth: float * [<Optional; DefaultParameterValue ((null :> obj))>] ?ShowDividers: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?DividerColor: Color * [<Optional; DefaultParameterValue ((null :> obj))>] ?DividerWidth: int * [<Optional; DefaultParameterValue ((null :> obj))>] ?Anchor: LinearAxisId * [<Optional; DefaultParameterValue ((null :> obj))>] ?Side: Side * [<Optional; DefaultParameterValue ((null :> obj))>] ?Overlaying: LinearAxisId * [<Optional; DefaultParameterValue ((null :> obj))>] ?Layer: Layer * [<Optional; DefaultParameterValue ((null :> obj))>] ?Domain: Range * [<Optional; DefaultParameterValue ((null :> obj))>] ?Position: float * [<Optional; DefaultParameterValue ((null :> obj))>] ?CategoryArray: #IConvertible seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?UIRevision: #IConvertible * [<Optional; DefaultParameterValue ((null :> obj))>] ?RangeSlider: RangeSlider * [<Optional; DefaultParameterValue ((null :> obj))>] ?RangeSelector: RangeSelector * [<Optional; DefaultParameterValue ((null :> obj))>] ?Calendar: Calendar -> LinearAxis static member initIndicatorGauge: [<Optional; DefaultParameterValue ((null :> obj))>] ?DTick: #IConvertible * [<Optional; DefaultParameterValue ((null :> obj))>] ?ExponentFormat: ExponentFormat * [<Optional; DefaultParameterValue ((null :> obj))>] ?MinExponent: float * [<Optional; DefaultParameterValue ((null :> obj))>] ?NTicks: int * [<Optional; DefaultParameterValue ((null :> obj))>] ?Range: Range * [<Optional; DefaultParameterValue ((null :> obj))>] ?SeparateThousands: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?ShowExponent: ShowExponent * [<Optional; DefaultParameterValue ((null :> obj))>] ?ShowTickLabels: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?ShowTickPrefix: ShowTickOption * [<Optional; DefaultParameterValue ((null :> obj))>] ?ShowTickSuffix: ShowTickOption * [<Optional; DefaultParameterValue ((null :> obj))>] ?Tick0: #IConvertible * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickAngle: int * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickColor: Color * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickFont: Font * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickFormat: string * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickFormatStops: TickFormatStop seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickLen: int * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickMode: TickMode * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickPrefix: string * [<Optional; DefaultParameterValue ((null :> obj))>] ?Ticks: TickOptions * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickSuffix: string * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickText: #IConvertible seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickVals: #IConvertible seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickWidth: int * [<Optional; DefaultParameterValue ((null :> obj))>] ?Visible: bool -> LinearAxis static member style: [<Optional; DefaultParameterValue ((null :> obj))>] ?Visible: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?Color: Color * [<Optional; DefaultParameterValue ((null :> obj))>] ?Title: Title * [<Optional; DefaultParameterValue ((null :> obj))>] ?AxisType: AxisType * [<Optional; DefaultParameterValue ((null :> obj))>] ?AutoTypeNumbers: AutoTypeNumbers * [<Optional; DefaultParameterValue ((null :> obj))>] ?AutoRange: AutoRange * [<Optional; DefaultParameterValue ((null :> obj))>] ?RangeMode: RangeMode * [<Optional; DefaultParameterValue ((null :> obj))>] ?Range: Range * [<Optional; DefaultParameterValue ((null :> obj))>] ?FixedRange: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?ScaleAnchor: LinearAxisId * [<Optional; DefaultParameterValue ((null :> obj))>] ?ScaleRatio: float * [<Optional; DefaultParameterValue ((null :> obj))>] ?Constrain: AxisConstraint * [<Optional; DefaultParameterValue ((null :> obj))>] ?ConstrainToward: AxisConstraintDirection * [<Optional; DefaultParameterValue ((null :> obj))>] ?Matches: LinearAxisId * [<Optional; DefaultParameterValue ((null :> obj))>] ?Rangebreaks: Rangebreak seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickMode: TickMode * [<Optional; DefaultParameterValue ((null :> obj))>] ?NTicks: int * [<Optional; DefaultParameterValue ((null :> obj))>] ?Tick0: #IConvertible * [<Optional; DefaultParameterValue ((null :> obj))>] ?DTick: #IConvertible * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickVals: #IConvertible seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickText: #IConvertible seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?Ticks: TickOptions * [<Optional; DefaultParameterValue ((null :> obj))>] ?TicksOn: CategoryTickAnchor * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickLabelMode: TickLabelMode * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickLabelPosition: TickLabelPosition * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickLabelOverflow: TickLabelOverflow * [<Optional; DefaultParameterValue ((null :> obj))>] ?Mirror: Mirror * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickLen: int * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickWidth: int * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickColor: Color * [<Optional; DefaultParameterValue ((null :> obj))>] ?ShowTickLabels: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?AutoMargin: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?ShowSpikes: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?SpikeColor: Color * [<Optional; DefaultParameterValue ((null :> obj))>] ?SpikeThickness: int * [<Optional; DefaultParameterValue ((null :> obj))>] ?SpikeDash: DrawingStyle * [<Optional; DefaultParameterValue ((null :> obj))>] ?SpikeMode: SpikeMode * [<Optional; DefaultParameterValue ((null :> obj))>] ?SpikeSnap: SpikeSnap * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickFont: Font * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickAngle: int * [<Optional; DefaultParameterValue ((null :> obj))>] ?ShowTickPrefix: ShowTickOption * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickPrefix: string * [<Optional; DefaultParameterValue ((null :> obj))>] ?ShowTickSuffix: ShowTickOption * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickSuffix: string * [<Optional; DefaultParameterValue ((null :> obj))>] ?ShowExponent: ShowExponent * [<Optional; DefaultParameterValue ((null :> obj))>] ?ExponentFormat: ExponentFormat * [<Optional; DefaultParameterValue ((null :> obj))>] ?MinExponent: float * [<Optional; DefaultParameterValue ((null :> obj))>] ?SeparateThousands: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickFormat: string * [<Optional; DefaultParameterValue ((null :> obj))>] ?TickFormatStops: TickFormatStop seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?HoverFormat: string * [<Optional; DefaultParameterValue ((null :> obj))>] ?ShowLine: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?LineColor: Color * [<Optional; DefaultParameterValue ((null :> obj))>] ?LineWidth: float * [<Optional; DefaultParameterValue ((null :> obj))>] ?ShowGrid: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?GridColor: Color * [<Optional; DefaultParameterValue ((null :> obj))>] ?GridWidth: float * [<Optional; DefaultParameterValue ((null :> obj))>] ?ZeroLine: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?ZeroLineColor: Color * [<Optional; DefaultParameterValue ((null :> obj))>] ?ZeroLineWidth: float * [<Optional; DefaultParameterValue ((null :> obj))>] ?ShowDividers: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?DividerColor: Color * [<Optional; DefaultParameterValue ((null :> obj))>] ?DividerWidth: int * [<Optional; DefaultParameterValue ((null :> obj))>] ?Anchor: LinearAxisId * [<Optional; DefaultParameterValue ((null :> obj))>] ?Side: Side * [<Optional; DefaultParameterValue ((null :> obj))>] ?Overlaying: LinearAxisId * [<Optional; DefaultParameterValue ((null :> obj))>] ?Layer: Layer * [<Optional; DefaultParameterValue ((null :> obj))>] ?Domain: Range * [<Optional; DefaultParameterValue ((null :> obj))>] ?Position: float * [<Optional; DefaultParameterValue ((null :> obj))>] ?CategoryOrder: CategoryOrder * [<Optional; DefaultParameterValue ((null :> obj))>] ?CategoryArray: #IConvertible seq * [<Optional; DefaultParameterValue ((null :> obj))>] ?UIRevision: #IConvertible * [<Optional; DefaultParameterValue ((null :> obj))>] ?RangeSlider: RangeSlider * [<Optional; DefaultParameterValue ((null :> obj))>] ?RangeSelector: RangeSelector * [<Optional; DefaultParameterValue ((null :> obj))>] ?Calendar: Calendar * [<Optional; DefaultParameterValue ((null :> obj))>] ?ArrayDTick: int * [<Optional; DefaultParameterValue ((null :> obj))>] ?ArrayTick0: int * [<Optional; DefaultParameterValue ((null :> obj))>] ?CheaterType: CheaterType * [<Optional; DefaultParameterValue ((null :> obj))>] ?EndLine: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?EndLineColor: Color * [<Optional; DefaultParameterValue ((null :> obj))>] ?EndLineWidth: int * [<Optional; DefaultParameterValue ((null :> obj))>] ?LabelPadding: int * [<Optional; DefaultParameterValue ((null :> obj))>] ?LabelPrefix: string * [<Optional; DefaultParameterValue ((null :> obj))>] ?LabelSuffix: string * [<Optional; DefaultParameterValue ((null :> obj))>] ?MinorGridColor: Color * [<Optional; DefaultParameterValue ((null :> obj))>] ?MinorGridCount: int * [<Optional; DefaultParameterValue ((null :> obj))>] ?MinorGridWidth: int * [<Optional; DefaultParameterValue ((null :> obj))>] ?Smoothing: float * [<Optional; DefaultParameterValue ((null :> obj))>] ?StartLine: bool * [<Optional; DefaultParameterValue ((null :> obj))>] ?StartLineColor: Color * [<Optional; DefaultParameterValue ((null :> obj))>] ?StartLineWidth: int * [<Optional; DefaultParameterValue ((null :> obj))>] ?BackgroundColor: Color * [<Optional; DefaultParameterValue ((null :> obj))>] ?ShowBackground: bool -> (LinearAxis -> LinearAxis)
<summary>Linear axes can be used as x and y scales on 2D plots, and as x,y, and z scales on 3D plots.</summary>

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new: unit -> LayoutObjects.LinearAxis

static member LayoutObjects.LinearAxis.init: [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Visible: bool * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Color: Color * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Title: Title * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?AxisType: StyleParam.AxisType * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?AutoTypeNumbers: StyleParam.AutoTypeNumbers * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?AutoRange: StyleParam.AutoRange * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?RangeMode: StyleParam.RangeMode * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Range: StyleParam.Range * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?FixedRange: bool * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?ScaleAnchor: StyleParam.LinearAxisId * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?ScaleRatio: float * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Constrain: StyleParam.AxisConstraint * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?ConstrainToward: StyleParam.AxisConstraintDirection * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Matches: StyleParam.LinearAxisId * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Rangebreaks: LayoutObjects.Rangebreak seq * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?TickMode: StyleParam.TickMode * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?NTicks: int * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Tick0: #IConvertible * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?DTick: #IConvertible * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?TickVals: #IConvertible seq * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?TickText: #IConvertible seq * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Ticks: StyleParam.TickOptions * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?TicksOn: StyleParam.CategoryTickAnchor * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?TickLabelMode: StyleParam.TickLabelMode * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?TickLabelPosition: StyleParam.TickLabelPosition * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?TickLabelOverflow: StyleParam.TickLabelOverflow * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Mirror: StyleParam.Mirror * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?TickLen: int * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?TickWidth: int * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?TickColor: Color * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?ShowTickLabels: bool * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?AutoMargin: bool * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?ShowSpikes: bool * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?SpikeColor: Color * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?SpikeThickness: int * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?SpikeDash: StyleParam.DrawingStyle * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?SpikeMode: StyleParam.SpikeMode * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?SpikeSnap: StyleParam.SpikeSnap * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?TickFont: Font * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?TickAngle: int * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?ShowTickPrefix: StyleParam.ShowTickOption * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?TickPrefix: string * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?ShowTickSuffix: StyleParam.ShowTickOption * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?TickSuffix: string * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?ShowExponent: StyleParam.ShowExponent * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?ExponentFormat: StyleParam.ExponentFormat * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?MinExponent: float * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?SeparateThousands: bool * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?TickFormat: string * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?TickFormatStops: TickFormatStop seq * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?HoverFormat: string * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?ShowLine: bool * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?LineColor: Color * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?LineWidth: float * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?ShowGrid: bool * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?GridColor: Color * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?GridWidth: float * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?ZeroLine: bool * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?ZeroLineColor: Color * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?ZeroLineWidth: float * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?ShowDividers: bool * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?DividerColor: Color * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?DividerWidth: int * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Anchor: StyleParam.LinearAxisId * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Side: StyleParam.Side * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Overlaying: StyleParam.LinearAxisId * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Layer: StyleParam.Layer * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Domain: StyleParam.Range * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Position: float * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?CategoryOrder: StyleParam.CategoryOrder * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?CategoryArray: #IConvertible seq * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?UIRevision: #IConvertible * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?RangeSlider: LayoutObjects.RangeSlider * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?RangeSelector: LayoutObjects.RangeSelector * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Calendar: StyleParam.Calendar * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?BackgroundColor: Color * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?ShowBackground: bool -> LayoutObjects.LinearAxis

module GenericChart from Plotly.NET
<summary> Module to represent a GenericChart </summary>

val toChartHTML: gChart: GenericChart.GenericChart -> string
<summary> Converts a GenericChart to it HTML representation. The div layer has a default size of 600 if not specified otherwise. </summary>

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module Ols from NovaSBE.Finance

--------------------
type Ols<'Record> = new: formula: string * data: 'Record seq -> Ols<'Record> member fit: unit -> RegressionResults member df_model: int member df_resid: int member endog_names: string member exog_names: string array member k_constant: int
<summary>Create a model from a formula and collection of records</summary>

--------------------
new: formula: string * data: 'Record seq -> Ols<'Record>

Multiple items
type Array = new: unit -> Array static member geomspace: start: float * stop: float * num: int * ?IncludeEndpoint: bool -> float array static member linspace: start: float * stop: float * num: int * ?IncludeEndpoint: bool -> float array

--------------------
new: unit -> Array

val filter: predicate: ('T -> bool) -> array: 'T array -> 'T array

val capePrediction: xs: Predictors array -> ReturnPrediction

type 'T array = 'T array

val mdl: RegressionResults

property Array.Length: int with get
<summary>Gets the total number of elements in all the dimensions of the <see cref="T:System.Array" />.</summary>
<exception cref="T:System.OverflowException">The array is multidimensional and contains more than <see cref="F:System.Int32.MaxValue">Int32.MaxValue</see> elements.</exception>
<returns>The total number of elements in all the dimensions of the <see cref="T:System.Array" />; zero if there are no elements in the array.</returns>

val lastObs: Predictors

val last: array: 'T array -> 'T

member RegressionResults.predict: data: 'a seq -> float array

val capePredictionRestricted: xs: Predictors array -> ReturnPrediction

val slope: float

val min: e1: 'T -> e2: 'T -> 'T (requires comparison)

property RegressionResults.coefs: Map<string,float> with get
<summary> The estimated model coefficients </summary>

val prediction: float

val max: e1: 'T -> e2: 'T -> 'T (requires comparison)

val index1999: int

val findIndex: predicate: ('T -> bool) -> array: 'T array -> int

val printfn: format: Printf.TextWriterFormat<'T> -> 'T

val cape1927Index: int

val muCAPE: ReturnPrediction array

val i: int

static member Chart.Line: xy: (#IConvertible * #IConvertible) seq * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?ShowMarkers: bool * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Name: string * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?ShowLegend: bool * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Opacity: float * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?MultiOpacity: float seq * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Text: 'a2 * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?MultiText: 'a2 seq * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?TextPosition: StyleParam.TextPosition * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?MultiTextPosition: StyleParam.TextPosition seq * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?MarkerColor: Color * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?MarkerColorScale: StyleParam.Colorscale * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?MarkerOutline: Line * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?MarkerSymbol: StyleParam.MarkerSymbol * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?MultiMarkerSymbol: StyleParam.MarkerSymbol seq * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Marker: TraceObjects.Marker * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?LineColor: Color * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?LineColorScale: StyleParam.Colorscale * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?LineWidth: float * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?LineDash: StyleParam.DrawingStyle * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Line: Line * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?StackGroup: string * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Orientation: StyleParam.Orientation * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?GroupNorm: StyleParam.GroupNorm * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Fill: StyleParam.Fill * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?FillColor: Color * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((false :> obj))>] ?UseWebGL: bool * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((true :> obj))>] ?UseDefaults: bool -> GenericChart.GenericChart (requires 'a2 :> IConvertible)
static member Chart.Line: x: #IConvertible seq * y: #IConvertible seq * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?ShowMarkers: bool * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Name: string * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?ShowLegend: bool * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Opacity: float * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?MultiOpacity: float seq * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Text: 'a2 * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?MultiText: 'a2 seq * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?TextPosition: StyleParam.TextPosition * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?MultiTextPosition: StyleParam.TextPosition seq * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?MarkerColor: Color * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?MarkerColorScale: StyleParam.Colorscale * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?MarkerOutline: Line * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?MarkerSymbol: StyleParam.MarkerSymbol * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?MultiMarkerSymbol: StyleParam.MarkerSymbol seq * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Marker: TraceObjects.Marker * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?LineColor: Color * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?LineColorScale: StyleParam.Colorscale * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?LineWidth: float * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?LineDash: StyleParam.DrawingStyle * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Line: Line * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?StackGroup: string * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Orientation: StyleParam.Orientation * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?GroupNorm: StyleParam.GroupNorm * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Fill: StyleParam.Fill * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?FillColor: Color * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((false :> obj))>] ?UseWebGL: bool * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((true :> obj))>] ?UseDefaults: bool -> GenericChart.GenericChart (requires 'a2 :> IConvertible)

val map: mapping: ('T -> 'U) -> array: 'T array -> 'U array

static member Chart.combine: gCharts: GenericChart.GenericChart seq -> GenericChart.GenericChart

val muCAPEMap: Map<DateTime,float>

type PredictionCombo = { Month: DateTime Actual: float PredRegression: float PredHistAvg: float }

val accuracyComps: PredictionCombo array

val x: PredictionCombo

PredictionCombo.Month: DateTime

val rmse: xy: (float * float) array -> float

val xy: (float * float) array

val averageBy: projection: ('T -> 'U) -> array: 'T array -> 'U (requires member (+) and member DivideByInt and member Zero)

val x: float

val y: float

val sqrt: value: 'T -> 'U (requires member Sqrt)

val rmses: {| Month: DateTime; mseCAPE: float; mseHist: float |} array

val mseCAPE: float

PredictionCombo.Actual: float

PredictionCombo.PredRegression: float

val mseHist: float

PredictionCombo.PredHistAvg: float

val rmseChart: GenericChart.GenericChart

val x: {| Month: DateTime; mseCAPE: float; mseHist: float |}

anonymous record field Month: DateTime

anonymous record field mseCAPE: float

anonymous record field mseHist: float

val rmsesDiffChart: GenericChart.GenericChart

static member Chart.withTitle: title: Title -> (GenericChart.GenericChart -> GenericChart.GenericChart)
static member Chart.withTitle: title: string * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?TitleFont: Font -> (GenericChart.GenericChart -> GenericChart.GenericChart)

val oosR2: xs: PredictionCombo seq -> float

val xs: PredictionCombo seq

Multiple items
val seq: sequence: 'T seq -> 'T seq

--------------------
type 'T seq = Collections.Generic.IEnumerable<'T>

val sseHist: float

val sumBy: projection: ('T -> 'U) -> source: 'T seq -> 'U (requires member (+) and member Zero)

val sseRegression: float

val oosr2Chart: GenericChart.GenericChart

val dt: DateTime

val xs: float

static member Chart.withSize: width: float * height: float -> (GenericChart.GenericChart -> GenericChart.GenericChart)
static member Chart.withSize: [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Width: int * [<Runtime.InteropServices.Optional; Runtime.InteropServices.DefaultParameterValue ((null :> obj))>] ?Height: int -> (GenericChart.GenericChart -> GenericChart.GenericChart)