`scipy.stats._continuous_distns:gennorm_gen`

source: /scipy/stats/_continuous_distns.py:11520

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 (symmetric) generalized normal continuous random variable.

Extended Summary

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Notes

The (symmetric) generalized normal distribution is also known as the Subbotin distribution, exponential power distribution, and generalized error distribution ^[1].

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