ShiftedDistribution

open class ShiftedDistribution(theDistribution: DistributionIfc, theShift: Double, name: String? = null) : Distribution

Represents a Distribution that has been Shifted (translated to the right) The shift must be >= 0.0

Constructs a shifted distribution based on the provided distribution

Parameters

theDistribution

the distribution to shift

theShift

The linear shift

name

an optional name/label

Inheritors

Constructors

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constructor(theDistribution: DistributionIfc, theShift: Double, name: String? = null)

Properties

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open override val id: Int
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open override var label: String?
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open override val name: String
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Functions

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Returns an array of probabilities each representing F(x_i). The CDF is evaluated for each point in the input array x and the probabilities are returned in the returned array.

open fun cdf(interval: Interval): Double

Returns the probability of being in the interval, F(upper limit) - F(lower limit) Be careful, this is Pr{lower limit < = X < = upper limit} which includes the lower limit and has implications if the distribution is discrete

open fun cdf(x1: Double, x2: Double): Double

Returns the Pr{x1 <= X <= x2} for the distribution. Be careful, this is Pr{x1 <= X <= x2} which includes the lower limit and has implications if the distribution is discrete

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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Computes the complementary cumulative probability distribution function for given value of x. This is P{X > x}

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open override fun instance(): ShiftedDistribution
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open fun invCDF(probabilities: DoubleArray): DoubleArray

Computes x_p where P(X <= x_p) = p for the supplied array of probabilities. Requires that the values within the supplied array are in (0,1)

open override fun invCDF(p: Double): Double

Provides the inverse cumulative distribution function for the distribution

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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 shifted distribution shift = parameter0 The other elements of the returned array are the parameters of the underlying distribution

open override fun parameters(params: DoubleArray)

Sets the parameters of the shifted distribution shift = param0 If supplied, the other elements of the array are used in setting the parameters of the underlying distribution. If only the shift is supplied as a parameter, then the underlying distribution's parameters are not changed (and do not need to be supplied)

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open override fun randomVariable(stream: RNStreamIfc): RVariableIfc
open fun randomVariable(streamNum: Int): RVariableIfc
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fun setDistribution(distribution: DistributionIfc, shift: Double)

Changes the underlying distribution and the shift

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Returns the standard deviation for the distribution as the square root of the variance if it exists

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open override fun variance(): Double

Returns the variance of the distribution if defined