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BUILT-IN MATHEMATICA SYMBOL
RiceDistribution
RiceDistribution[
, 
]
represents a Rice distribution with shape parameters and .
RiceDistribution[m, , ]
represents a Norton-Rice distribution with parameters m, , and .
Details
- 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]](Files/RiceDistribution.en/3.png "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 Norton-Rice distribution is proportional to ![x^m exp(-m(alpha^2+x^2)/(2 beta^2)) TemplateBox[{{m, -, 1}, {m, {{(, {x, , alpha}, )}, /, {(, {beta, ^, 2}, )}}}}, BesselI]](Files/RiceDistribution.en/7.png "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 to be any non-negative real number and m, to be any positive real numbers.
- RiceDistribution can be used with such functions as Mean, CDF, and RandomVariate.
Examplesopen all
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 Norton-Rice distribution:
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Cumulative distribution function of Norton-Rice distribution:
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Mean and variance of Norton-Rice distribution:
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