WeibullDistribution Class

Class WeibullDistribution represents the Weibull probability distribution.

Inheritance Hierarchy

SystemObject
CenterSpace.NMath.CoreProbabilityDistribution
CenterSpace.NMath.CoreWeibullDistribution

Namespace: CenterSpace.NMath.Core
Assembly: NMath (in NMath.dll) Version: 7.4

Syntax

C++

Copy

[SerializableAttribute]
public class WeibullDistribution : ProbabilityDistribution, 
	IRandomVariableMoments

<SerializableAttribute>
Public Class WeibullDistribution
	Inherits ProbabilityDistribution
	Implements IRandomVariableMoments

[SerializableAttribute]
public ref class WeibullDistribution : public ProbabilityDistribution, 
	IRandomVariableMoments

[<SerializableAttribute>]
type WeibullDistribution = 
    class
        inherit ProbabilityDistribution
        interface IRandomVariableMoments
    end

The WeibullDistribution type exposes the following members.

Constructors

	Name	Description
	WeibullDistribution	Constructs a WeibullDistribution instance with the given scale and shape.

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Properties

	Name	Description
	Kurtosis	Gets the kurtosis, a measure of the degree of peakednesss of the distribution.
	Mean	Gets the mean of the distribution.
	Scale	Gets and sets the scale parameter for the distribution. The scale parameter must be positive.
	Shape	Gets and sets the shape parameter for the distribution. The shape parameter must be positive.
	Skewness	Gets the skewness, a measure of the degree of asymmetry of this distribution.
	Variance	Gets the variance of the distribution.

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Methods

	Name	Description
	CDF	Returns the cumulative density function evaluated at a given value. (Overrides ProbabilityDistributionCDF(Double))
	Clone	Creates a deep copy of this WeibullDistribution. (Overrides ProbabilityDistributionClone)
	Fit	Fits a Weibull distribution to observed data. The scale and shape parameters for the Weibull distribution are estimated and the corresponding Weibull distribution object returned. If the fit is not successful null is returned.
	InverseCDF	Returns the inverse cumulative density function evaluated a the given value. (Overrides ProbabilityDistributionInverseCDF(Double))
	InverseCdfUsingBracket	Uses a bracketing method to evaluate the inverse of cumulative distribution functions. (Inherited from ProbabilityDistribution)
	InverseDiscreteCdfUsingBracket	Uses a bracketing method to evaluate the inverse of cumulative distribution functions for discrete distributions. (Inherited from ProbabilityDistribution)
	PDF	Returns the probability density function evaluated at a given value. (Overrides ProbabilityDistributionPDF(Double))
	SetParameters	Sets the scale and shape parameter for this distribution.
	ToString	Returns a formatted string representation of this distribution. (Overrides ProbabilityDistributionToString)

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Remarks

The probability density function of the Weibull distribution is given by: f(x;k,a) = (k/a)*(x/a)^(k-1)*exp(-(x/a)k)

Reference

CenterSpace.NMath.Core Namespace