KSLCore/ksl.utilities.distributions/PearsonType6

PearsonType6

class PearsonType6(shape1: Double = 2.0, shape2: Double = 3.0, scale: Double = 1.0, name: String? = null) : Distribution, ContinuousDistributionIfc, InverseCDFIfc, GetRVariableIfc, RVParametersTypeIfc(source)

Represents a Pearson Type VI distribution, see Law (2007) Simulation Modeling and Analysis, McGraw-Hill, pg 294

Parameters

shape1

shape 1 must be greater than 0.0

shape2

shape 2 must be greater than 0.0

scale

scale must be greater than 0.0

name

an optional name/label

Constructors

PearsonType6

constructor(shape1: Double = 2.0, shape2: Double = 3.0, scale: Double = 1.0, name: String? = null)

constructor(parameters: DoubleArray)

Creates a PearsonTypeVI distribution

Properties

scale

var scale: Double

the scale must be greater than 0.0

shape1

var shape1: Double

shape2

var shape2: Double

Functions

cdf

open override fun cdf(x: Double): Double

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

domain

open override fun domain(): Interval

instance

open override fun instance(): PearsonType6

invCDF

open override fun invCDF(p: Double): Double

Provides the inverse cumulative distribution function for the distribution

mean

open override fun mean(): Double

parameters

open override fun parameters(): DoubleArray

open override fun parameters(params: DoubleArray)

params0 = alpha1 params1 = alpha2 params2 = beta

pdf

open override fun pdf(x: Double): Double

randomVariable

open override fun randomVariable(streamNumber: Int, streamProvider: RNStreamProviderIfc): PearsonType6RV

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

setParameters

fun setParameters(alpha1: Double, alpha2: Double, beta: Double)

setShapeParameters

fun setShapeParameters(alpha1: Double, alpha2: Double)

toString

open override fun toString(): String

variance

open override fun variance(): Double