`scipy.stats._continuous_distns:landau_gen`

source: /scipy/stats/_continuous_distns.py :5946

Signature

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

Members

Summary

A Landau continuous random variable.

Extended Summary

%(before_notes)s

Notes

The probability density function for landau (^[1], ^[2]) is:

f (x) = \frac{1}{π} \int_{0}^{\infty} exp (- t lo g t - x t) sin (π t) d t

for a real number $x$ .

%(after_notes)s

Often (e.g. ^[2]), the Landau distribution is parameterized in terms of a location parameter $μ$ and scale parameter $c$ , the latter of which also introduces a location shift. If mu and c are used to represent these parameters, this corresponds with SciPy's parameterization with loc = mu + 2*c / np.pi * np.log(c) and scale = c.

This distribution uses routines from the Boost Math C++ library for the computation of the pdf, cdf, ppf, sf and isf methods. ^[1]

Aliases

scipy.stats._continuous_distns.landau_gen