KSLCore/ksl.utilities.distributions/Weibull

Weibull

class Weibull(shape: Double = 1.0, scale: Double = 1.0, name: String? = null) : Distribution, ContinuousDistributionIfc, InverseCDFIfc, GetRVariableIfc, RVParametersTypeIfc, MomentsIfc(source)

This class defines a Weibull distribution

Parameters

shape

The shape parameter of the distribution

scale

The scale parameter of the distribution

name

an optional name/label

Constructors

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constructor(shape: Double = 1.0, scale: Double = 1.0, name: String? = null)
constructor(parameters: DoubleArray)

Constructs a weibull distribution with shape = parameters0 and scale = parameters1

Types

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object Companion

Properties

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open override val kurtosis: Double
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open override val mean: Double
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var scale: Double
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var shape: Double
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open override val skewness: Double
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open override val variance: Double

Functions

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open override fun cdf(x: Double): Double

Returns the F(x) = Pr{X <= x} where F represents the cumulative distribution function

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open override fun domain(): Interval
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open override fun instance(): Weibull
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open override fun invCDF(p: Double): Double

Provides the inverse cumulative distribution function for the distribution

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fun kurtosis(): Double

Gets the kurtosis of the distribution www.mathworld.wolfram.com/WeibullDistribution.html

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open override fun logLikelihood(x: Double): Double

The log-density computed directly, so a point far in the tail keeps its true value where pdf would underflow to zero: ln(shape) - shape ln(scale) + (shape - 1) ln x - (x/scale)^shape for x > 0, and the ln(Double.MIN_VALUE) floor where pdf is zero.

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open override fun mean(): Double

Returns the mean or expected value of a distribution

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open override fun parameters(): DoubleArray

Gets the parameters for the distribution

open override fun parameters(params: DoubleArray)

Sets the parameters for the distribution with shape = parameters0 and scale = parameters1

fun parameters(theShape: Double, theScale: Double)

Sets the parameters

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open override fun pdf(x: Double): Double

Returns the f(x) where f represents the probability density function for the distribution. Note this is not a probability.

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open override fun randomVariable(streamNumber: Int = 0, streamProvider: RNStreamProviderIfc = KSLRandom.DefaultRNStreamProvider): WeibullRV

Promises to return a random variable that uses the supplied stream number using the supplied stream provider

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fun skewness(): Double

Gets the skewness of the distribution www.mathworld.wolfram.com/WeibullDistribution.html

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open override fun toString(): String
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open override fun variance(): Double

Returns the variance of the distribution if defined

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