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莱斯分布

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维基百科,自由的百科全书
Rice
概率密度函數
Rice probability density functions σ=1.0
Rice probability density functions for various v   with σ=1.
Rice probability density functions σ=0.25
Rice probability density functions for various v   with σ=0.25.
累積分布函數
Rice cumulative density functions σ=1.0
Rice cumulative density functions for various v   with σ=1.
Rice cumulative density functions σ=0.25
Rice cumulative density functions for various v   with σ=0.25.
参数
值域
概率密度函数
期望值
方差
偏度 (complicated)
峰度 (complicated)

概率论数理統計领域,萊斯分布(Rice distribution或Rician distribution)是一種连续概率分布,以美国科学家斯蒂芬·莱斯英语Stephen O. Rice的名字命名,其概率密度函数为:

其中是修正的第一类零阶貝索函數(Bessel function)。当时,莱斯分布退化为瑞利分布

极限情况

For large values of the argument, the Laguerre polynomial becomes (See Abramowitz and Stegun §13.5.1页面存档备份,存于互联网档案馆))

It is seen that as becomes large or becomes small the mean becomes and the variance becomes

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