Probability distributions

The probability distributions supported by lmoments3 are summarised in the table below.

Name	lmoments3 name	scipy name	Parameters
Exponential	exp	expon	loc, scale
Gamma	gam	gamma	a, loc, scale (The location parameter is not calculated using L-moments and assumed to be zero.)
Generalised Extreme Value	gev	genextreme	c, loc, scale
Generalised Logistic	glo	n/a	k, loc, scale
Generalised Normal	gno	n/a	k, loc, scale
Generalised Pareto	gpa	genpareto	c, loc, scale
Gumbel	gum	gumbel_r	loc, scale
Kappa	kap	n/a	k, h, loc, scale
Normal	nor	norm	loc, scale
Pearson III	pe3	pearson3	skew, loc, scale
Wakeby	wak	n/a	beta, gamma, delta, loc, scale
Weibull	wei	weibull_min	c, loc, scale

All distributions in the table above are included in the lmoments3.distr module. They can be used like any other scipy.stats.rv_continous distribution (documentation).

Basic usage is as follows:

from lmoments3 import distr

general_exp_distr = distr.exp

Or a distribution with parameters “frozen”:

exp_distr = distr.exp(loc=0, scale=2)