qGaussian: Tools to Explore Applications of Tsallis Statistics

Abstract

q-Gaussian distribution appear in many science areas where we can find systems that could be described within a nonextensive framework. Usually, a way to assert that these systems belongs to nonextensive framework is by means of numerical data analysis. To this end, we implement random number generator for q-Gaussian distribution, while we present how to computing its probability density function, cumulative density function and quantile function besides a tail weight measurement using robust statistics.