AnyLogic 9
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rayleigh

The Rayleigh distribution is a continuous distribution bounded on the lower side. It is a special case of the Weibull distribution with alpha = 2 and beta/sqrt(2) = sigma. Because of the fixed shape parameter, the Rayleigh distribution does not change shape although it can be scaled. The Rayleigh distribution is frequently used to represent lifetimes because its hazard rate increases linearly with time, for example, the lifetime of vacuum tubes. This distribution also finds application in noise problems in communications.

Sample

sigma = 1; min = 0

rayleigh(double sigma, double min)

Description
Generates a sample of the Rayleigh distribution.
Parameters
Name Type Description
sigma double The scale parameter > 0.
min double The minimum x value.
Result
Type Description
double The generated sample.

rayleigh(double sigma)

Description
Generates a sample of the Rayleigh distribution with min set to 0. Is equivalent to rayleigh(sigma, 0).
Parameters
Name Type Description
sigma double The scale parameter > 0.
Result
Type Description
double The generated sample.

rayleigh(double sigma, double min, java.util.Random r)

Description
Generates a sample of the Rayleigh distribution using the specified random number generator.
Parameters
Name Type Description
sigma double The scale parameter > 0.
min double The minimum x value-
r java.util.Random The random number generator.
Result
Type Description
double The generated sample.

This document includes content from the Stat::Fit User's Manual. Copyright 2016 Geer Mountain Software Corp.

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