KernelDensityOptions.SheatherJones Method

Creates Gaussian Sheather-Jones solve-the-equation options with an explicit root bracket.

Definition

Namespace: Numerics.NET.Statistics
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 10.9.0

public static KernelDensityOptions SheatherJones(
	double minimumBandwidth,
	double maximumBandwidth,
	double bandwidthAdjustment = 1
)

Visual Basic

Public Shared Function SheatherJones ( 
	minimumBandwidth As Double,
	maximumBandwidth As Double,
	Optional bandwidthAdjustment As Double = 1
) As KernelDensityOptions

C++/CLI

public:
static KernelDensityOptions^ SheatherJones(
	double minimumBandwidth, 
	double maximumBandwidth, 
	double bandwidthAdjustment = 1
)

static member SheatherJones : 
        minimumBandwidth : float * 
        maximumBandwidth : float * 
        ?bandwidthAdjustment : float 
(* Defaults:
        let _bandwidthAdjustment = defaultArg bandwidthAdjustment 1
*)
-> KernelDensityOptions

Parameters

minimumBandwidth Double: The finite positive lower bandwidth bound before adjustment.
maximumBandwidth Double: The finite positive upper bandwidth bound, strictly above the lower bound.
bandwidthAdjustment Double (Optional): A finite positive multiplier applied after root selection. The default is 1.

Return Value

KernelDensityOptions
Immutable options for a bracketed Sheather-Jones solve.

Remarks

Bounds use fitting-coordinate units. The bracket must contain a root; it is not expanded. Use Automatic(KernelDensityBandwidthEstimator, Kernel, Double) with SheatherJones for automatic bracketing. This selector uses exact Gaussian pair sums, effective sample size and relative observation masses.

Exceptions

ArgumentOutOfRangeException

A bound or adjustment is invalid or the bounds are not ordered.