.. _continuous-landau:

Landau distribution

A special case of Lévy-stable distributions with :math:\alpha=1 and :math:\beta=1 and support :math:-\infty < x < \infty. The probability density function is given by

.. math::

f(x) = \frac{1}{\pi}\int_0^\infty \exp(-t \log t - xt)\sin(\pi t) dt

The differential entropy is 2.37263644000448182, and the moments are undefined.

Implementation: scipy.stats.landau

An example usage of this function is :ref:landau_energy_loss.

.. toctree:: :hidden:

landau_energy_loss.md