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 five-parameters 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.

DE CAPITANI, L., Zini, A. (2013). A comparison among two generalized beta-mixtures of Polisicchio distributions and the Zenga model. STATISTICA & APPLICAZIONI, 11(2), 193-230.

A comparison among two generalized beta-mixtures of Polisicchio distributions and the Zenga model

DE CAPITANI, LUCIO;ZINI, ALESSANDRO
2013

Abstract

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 five-parameters 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.
Articolo in rivista - Articolo scientifico
Confluent Hypergeometric Distribution; Gaussian Hypergeometric distribution; Generalized Zenga Distribution; Incomes; Polisicchio’s Truncated Pareto Distribution; Zenga Distribution
English
2013
11
2
193
230
none
DE CAPITANI, L., Zini, A. (2013). A comparison among two generalized beta-mixtures of Polisicchio distributions and the Zenga model. STATISTICA & APPLICAZIONI, 11(2), 193-230.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/51511
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