`scipy.stats._continuous_distns:rice_gen`

source: /scipy/stats/_continuous_distns.py :9294

Signature

   class     rice_gen (    momtype    =  1   ,    a    =  None   ,    b    =  None   ,    xtol    =  1e-14   ,    badvalue    =  None   ,    name    =  None   ,    longname    =  None   ,    shapes    =  None   ,    seed    =  None     )

Members

Summary

A Rice continuous random variable.

Extended Summary

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Notes

The probability density function for rice is:

f (x, b) = x exp (- \frac{x ^{2} + b ^{2}}{2}) I_{0} (x b)

for $x >= 0$ , $b > 0$ . $I_{0}$ is the modified Bessel function of order zero (scipy.special.i0).

rice takes b as a shape parameter for $b$ .

%(after_notes)s

The Rice distribution describes the length, $r$ , of a 2-D vector with components $(U + u, V + v)$ , where $U, V$ are constant, $u, v$ are independent Gaussian random variables with standard deviation $s$ . Let $R = U^{2} + V^{2}$ . Then the pdf of $r$ is rice.pdf(x, R/s, scale=s).

%(example)s

Aliases

scipy.stats._continuous_distns.rice_gen