2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/131335This expository note describes how to apply the method of maximum likelihood to estimate the parameters of the ``$q$-exponential'' distributions introduced by Tsallis and collaborators. It also describes the relationship of these distributions to the classical Pareto distributions.4 pages, 1 figure; accompanying R code available from http://bactra.org/research/tsallis-MLE/. V2: Added results on estimation from censored data, re-arranged introduction, minor corrections and wording changes throughout, updated codeStatistics TheoryData Analysis, Statistics and Probability62F10; 62P35text