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单词 Rician distribution
释义

Rician distribution

中文百科

莱斯分布 Rice distribution

(重定向自Rician distribution)

在概率论与数理统计领域,莱斯分布(Rice distribution或Rician distribution)是一种连续概率分布,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:

f(x|v,\sigma)=\,
\frac{x}{\sigma^2}\exp\left(\frac{-(x^2+v^2)}
{2\sigma^2}\right)I_0\left(\frac{xv}{\sigma^2}\right)

其中I_0(z)是修正的第一类零阶贝索函数(Bessel function)。当v=0时,莱斯分布退化为瑞利分布。

英语百科

Rice distribution 莱斯分布

(重定向自Rician distribution)
In the 2D plane, pick a fixed point at distance ν from the origin. Generate a distribution of 2D points centered around that point, where the x and y coordinates are chosen independently from a gaussian distribution with standard deviation σ (blue region). If R is the distance from these points to the origin, then R has a Rice distribution.

In probability theory, the Rice distribution, Rician distribution or Ricean distribution is the probability distribution of the magnitude of a circular bivariate normal random variable with potentially non-zero mean. It was named after Stephen O. Rice.

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更新时间:2025/6/19 9:02:23