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Exponential

The exponential distribution is a continuous probability distribution. It describes the time between events in a Poisson process, i.e. a process in which events occur continuously and independently at a constant average rate λ.

This topic contains the following sections:

Constructor

Constructor

Description

Performance

set rate

Creates new instance of Exponential with user specified parameter λ.

methodExponential(Double)

Methods

Method

Description

Performance

sample

Generate random variable sample.

methodSample

Fill in array with random variable series in place:

methodSample(Double)

Static method which generates new sample of Exponential distribution variate with specified parameters:

StaticSample(Double)

StaticSample(RandomGenerator, Double)

pdf

Probability density function.

DExponential Pdf

methodPdf(Double)

Static probability density function.

StaticPdf(Double, Double)

cdf

Cumulative distribution function.

DExponential Cdf

methodCdf(Double)

Static cumulative distribution function.

StaticCdf(Double, Double)

inverse cdf

Inverse cumulative distribution function. Is useful for quantile calculation. Function will return value of random variable such that likelihood for this random variable to occur less than or equal to returned value equal to specified pvalue parameter.

methodInverseCdf(Double)

StaticInverseCdf(Double, Double)

Properties

Property

Description

Performance

rate

Rate of the distribution.

PropertyRate

mean

Mean of the distribution.

DExponential Mean

PropertyMean

median

Median of the distribution.

DExponential Median

PropertyMedian

mode

Mode of distribution.

DExponential Mode

PropertyMode

kurtosis

Excess Kurtosis of distribution.

DExponential Kurtosis

PropertyKurtosis

skewness

Skewness of distribution.

DExponential Skewness

PropertySkewness

entropy

Entropy of distribution.

DExponential Entropy

PropertyEntropy

variance

Variance of the distribution.

DExponential Variance

PropertyVariance

standard deviation

Standard deviation of the distribution.

DExponential Mean

PropertyStandardDeviation