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

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journal	STATISTICA & APPLICAZIONI
issue	STATISTICA & APPLICAZIONI - 2013 - 2
title	A comparison among two generalized beta-mixtures of polisicchio distributions and the zenga model
authors	Lucio De Capitani Alessandro Zini
publisher	Vita e Pensiero
format	Article \| Pdf
online since	05-2014
issn	18246672 (print)
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Description Readers' comments
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. Enter a comment for A comparison among two generalized beta-mixtures of polisicchio distributions and the zenga model

Description Readers' comments

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.

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

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