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Rice Distribution

P(Z)=Z/(sigma^2)exp(-(Z^2+|V|^2)/(2sigma^2))I_0((Z|V|)/(sigma^2)),

where I_0(z) is a modified Bessel function of the first kind and Z>0. For a derivation, see Papoulis (1962). For |V| = 0, this reduces to the Rayleigh distribution.

See also

Rayleigh Distribution

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References

Papoulis, A. The Fourier Integral and Its Applications. New York: McGraw-Hill, 1962.

Referenced on Wolfram|Alpha

Rice Distribution

Cite this as:

Weisstein, Eric W. "Rice Distribution." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/RiceDistribution.html

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