RiceDistribution

RiceDistribution[α,β]
represents a Rice distribution with shape parameters α and β.

RiceDistribution[m,α,β]
represents a NortonRice distribution with parameters m, α, and β.

DetailsDetails

  • RiceDistribution is also known as Nakagami- distribution.
  • The probability density for value in a Rice distribution is proportional to x exp(-(alpha^2+x^2)/(2 beta^2)) TemplateBox[{0, {{(, {x,  , alpha}, )}, /, {(, {beta, ^, 2}, )}}}, BesselI] for , and is zero for .
  • The probability density for value in a NortonRice distribution is proportional to x^m exp(-m(alpha^2+x^2)/(2 beta^2)) TemplateBox[{{m, -, 1}, {m, {{(, {x,  , alpha}, )}, /, {(, {beta, ^, 2}, )}}}}, BesselI] for , and is zero for .
  • RiceDistribution allows α to be any non-negative real number and m, β to be any positive real numbers.
  • RiceDistribution can be used with such functions as Mean, CDF, and RandomVariate.

ExamplesExamplesopen allclose all

Basic Examples  (6)Basic Examples  (6)

Probability density function of Rice distribution:

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Cumulative distribution function of Rice distribution:

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Mean and variance of Rice distribution:

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Probability density function of NortonRice distribution:

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Cumulative distribution function of NortonRice distribution:

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Mean and variance of NortonRice distribution:

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Introduced in 2010
(8.0)