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BUILT-IN MATHEMATICA SYMBOL
HoytDistribution
HoytDistribution[q, 
]
represents a Hoyt distribution with shape parameter q and spread parameter .
Details
- HoytDistribution is also known as Nakagami-
distribution. - The probability density for value
is proportional to ![x exp(-((1+q^2)^2 x^2)/(4 q^2 omega)) TemplateBox[{0, {{(, {{(, {1, -, {q, ^, 4}}, )}, , {x, ^, 2}}, )}, /, {(, {4, , {q, ^, 2}, , omega}, )}}}, BesselI]](Files/HoytDistribution.en/3.png "x exp(-((1+q^2)^2 x^2)/(4 q^2 omega)) TemplateBox[{0, {{(, {{(, {1, -, {q, ^, 4}}, )}, , {x, ^, 2}}, )}, /, {(, {4, , {q, ^, 2}, , omega}, )}}}, BesselI]")
for 
, and is zero for 
. - HoytDistribution allows q to be any number between 0 and 1, and to be any positive real number.
- HoytDistribution can be used in such functions as Mean, CDF, and RandomVariate.
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