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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.