Class of Skewed Generalized Distributions Based on a Two-Piece Generalized Framework

Abstract

This paper introduces a two-piece generalized distributional framework based on some minimum requirements for the probability density function used as the basis for the two-way split. These requirements are symmetricity, unimodality and continuity. The basic characteristics of the two-piece generalized distribution are discussed and its moments including the Pearson’s mode of skewness and moment coefficients of skewness and kurtosis are derived. The results are useful to researchers using these distributions in empirical and theoretical studies, as well as students taking courses in mathematical and applied statistics and econometrics.