`scipy.stats._continuous_distns:rdist_gen`

source: /scipy/stats/_continuous_distns.py :8994

Signature

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

Members

Summary

An R-distributed (symmetric beta) continuous random variable.

Extended Summary

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Notes

The probability density function for rdist is:

f (x, c) = \frac{( 1 - x ^{2} ) ^{c /2 - 1}}{B ( 1/2 , c /2 )}

for $- 1 \leq x \leq 1$ , $c > 0$ . rdist is also called the symmetric beta distribution: if B has a beta distribution with parameters (c/2, c/2), then X = 2*B - 1 follows a R-distribution with parameter c.

rdist takes c as a shape parameter for $c$ .

This distribution includes the following distribution kernels as special cases

c = 2:  uniform
c = 3:  `semicircular`
c = 4:  Epanechnikov (parabolic)
c = 6:  quartic (biweight)
c = 8:  triweight

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Aliases

scipy.stats._continuous_distns.rdist_gen