`scipy.stats._continuous_distns:gennorm_gen`

source: /scipy/stats/_continuous_distns.py :11452

Signature

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

Members

Summary

A generalized normal continuous random variable.

Extended Summary

%(before_notes)s

Notes

The probability density function for gennorm is ^[1]:

f (x, β) = \frac{β}{2Γ ( 1/ β )} exp (- ∣ x ∣^{β}),

where $x$ is a real number, $β > 0$ and $Γ$ is the gamma function (scipy.special.gamma).

gennorm takes beta as a shape parameter for $β$ . For $β = 1$ , it is identical to a Laplace distribution. For $β = 2$ , it is identical to a normal distribution (with scale=1/sqrt(2)).

Aliases

scipy.stats._continuous_distns.gennorm_gen