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莱斯分布

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Rice
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.
概率density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.
累積分佈函數
參數
支撑集
概率density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en: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

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极限情况[编辑]

For large values of the argument, the Laguerre polynomial becomes (See Abramowitz and Stegun §13.5.1)

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

相關條目[编辑]

外部連結[编辑]