`scipy.stats._continuous_distns:exponnorm_gen`

source: build-install/usr/lib/python3.14/site-packages/scipy/stats/_continuous_distns.py:2183

Signature

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

Members

Summary

An exponentially modified Normal continuous random variable.

Extended Summary

Also known as the exponentially modified Gaussian distribution ^[1].

%(before_notes)s

Notes

The probability density function for exponnorm is:

f (x, K) = \frac{1}{2 K} exp (\frac{1}{2 K ^{2}} - x / K) erfc (- \frac{x - 1/ K}{2})

where $x$ is a real number and $K > 0$ .

It can be thought of as the sum of a standard normal random variable and an independent exponentially distributed random variable with rate 1/K.

%(after_notes)s

An alternative parameterization of this distribution (for example, in the Wikipedia article ^[1]) involves three parameters, $μ$ , $λ$ and $σ$ .

In the present parameterization this corresponds to having loc and scale equal to $μ$ and $σ$ , respectively, and shape parameter $K = 1/ (σ λ)$ .

Aliases

scipy.stats._continuous_distns.exponnorm_gen