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A comparison among two generalized beta-mixtures of polisicchio distributions and the zenga model

digital A comparison among two generalized beta-mixtures of polisicchio distributions and the zenga model
Article
journal STATISTICA & APPLICAZIONI
issue STATISTICA & APPLICAZIONI - 2013 - 2
title A comparison among two generalized beta-mixtures of polisicchio distributions and the zenga model
authors
publisher Vita e Pensiero
format Article | Pdf
online since 05-2014
issn 18246672 (print)
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In this paper, the performances in fitting incomes of three different mixtures of Polisicchio distributions are compared. The considered mixtures are: the three-parameters Zenga distribution (beta mixture of Polisicchio distributions); the Generalized Zenga Distribution (confluent-hypergeometric
mixture of Polisicchio distributions) which is characterized by four parameters; and a new fiveparameters distribution defined by the Gauss-hypergeometric mixture of Polisicchio distributions. The performances of these distributions are compared in several applications showing that the behavior of the five-parameters model is substantially replicated by the more parsimonious Generalized Zenga Distribution which provides a sensible improvement in the goodness-of-fit with respect to the Zenga model when personal incomes are considered.

Keywords: Polisicchio’s Truncated Pareto Distribution, Zenga Distribution, Gaussian Hypergeometric distribution, Confluent Hypergeometric Distribution, Generalized Zenga Distribution, Incomes.