`scipy.stats._continuous_distns:halfgennorm_gen`

source: build-install/usr/lib/python3.14/site-packages/scipy/stats/_continuous_distns.py:11632

Signature

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

Members

Summary

The upper half of a generalized normal continuous random variable.

Extended Summary

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Notes

The probability density function for halfgennorm is:

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

for $x, β > 0$ . $Γ$ is the gamma function (scipy.special.gamma).

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

halfgennorm is the upper half of a generalized normal continuous random variable ^[1].

halfgennorm is a special case of the generalized gamma distribution ^[2], which is implemented in SciPy as gengamma: halfgennorm(beta) = gengamma(a=1/beta, c=beta).

Aliases

scipy.stats._continuous_distns.halfgennorm_gen