About this project

The AUB-HTP repository provides a modern Python library for working with Alpha Stable (Levy-Stable) distributions. It includes a SciPy‑compatible interface that lets users generate probability density functions and draw random variates from both univariate and multivariate stable distributions. The package supports two common parametrizations (S0 and S1) and ships with a collection of built‑in spectral measure samplers: isotropic, elliptic, discrete, mixed, and univariate. Users can also define custom spectral measures by extending the BaseSpectralMeasureSampler class, with a note that for α≥18 the custom measure must satisfy a zero‑mean condition. Installation is straightforward via pip, and the documentation includes concrete examples for PDF plotting, univariate and multivariate sampling, and custom sampler implementation. The project is linked to several research papers on heavy‑tailed statistics and parameter estimation, and the latest stable release (v1.0.X) is maintained separately from the development branch.