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, e.g. the lifetime of vacuum tubes. This distribution also finds application in noise problems in communications.
sigma = 1; min = 0
- Description
- Generates a sample of the Rayleigh distribution.
- Parameters
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Name Type Description sigma double the scale parameter > 0 min double the minimum x value - Result
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Type Description double the generated sample
- Description
- Generates a sample of the Rayleigh distribution with min set to 0. Is equivalent to rayleigh(sigma, 0).
- Parameters
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Name Type Description sigma double the scale parameter > 0 - Result
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Type Description double the generated sample
- Description
- Generates a sample of the Rayleigh distribution using the specified random number generator.
- Parameters
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Name Type Description sigma double the scale parameter > 0 min double the minimum x value r java.util.Random the random number generator - Result
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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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