On the Moments of a Mixture of Uniform and Shifted Binomial random variables
Domenico Piccolo · 2003
Summary: In this note, we study the first four moments of the MUB random variable, that is a mixture of two discrete random variables, recently introduced for the fitting of ranks data models. After a brief review of the location and variability indexes, the paper derives and discusses the asymmetry and the kurtosis measures, investigating the shape properties of this distribution on the admissible par ametric space. Finally, the usefulness of the parameters moment estimators is shown in order to get starting values for the maximum likelihood estimation procedure.