Logiciels

1. MixStable (Cran) : Parameter Estimation for Stable Distributions and Their Mixtures
Solym Manou-Abi, Adam Najib, Yousri Slaoui (2025)
Provides various functions for parameter estimation of one-dimensional stable distributions and their mixtures, including quantile-based approaches, regression methods, and maximum likelihood estimation. Mixture models use stochastic EM and Bayesian methods with MCMC.
MixStable 0.1.6 (Python) : Parameter estimation tools for one-dimensional stable distributions and their mixtures
Solym Manou-Abi, Adam Najib, Yousri Slaoui (2025)
Python package for simulating, estimating, and visualizing alpha-stable mixture distributions. Designed for statisticians, data scientists, and researchers handling heavy-tailed or skewed data.
2. MixLFA (Cran) : Mixture of Longitudinal Factor Analysis Methods
Amine Ounajim, Yousri Slaoui, Omar Lahbabi, Philippe Rigoard (2024)
Estimation of mixture of longitudinal factor analysis models using iterative EM algorithm, with visualization and interpretation tools for model parameters.
3. ExGaussEstim (v1.2 Cran) : Quantile Maximization Likelihood Estimation & Bayesian Ex-Gaussian Estimation
Yousri Slaoui, Abir El Haj, Alandra Zakkour, Caroline Bordes, Cyril Perret, Jean Dumoncel (2023)
Two methods to estimate 'mu', 'sigma', and 'tau' of an ex-Gaussian distribution: Quantile Maximization Likelihood Estimation (QMLE) and Bayesian. QMLE allows three algorithms: neldermead, fminsearch, nlminb.
4. libfbat (C++)
Gregory Nuel, Yousri Slaoui, Vincent Miele (2010)
C++ library for genetic analysis of pedigree data, robust to genotyping errors and missing data.