Landau distribution

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

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

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

Implementation: scipy.stats.landau