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

Name: A comparison among two generalized beta-mixtures of polisicchio distributions and the zenga model
Brand: Vita e Pensiero
Availability: OnlineOnly

digital

Article

Magazine

STATISTICA & APPLICAZIONI

Section

Open Access

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

Pages

Online from

05-2014

Issn

1824-6672 (print) | 2283-6659 (digital)

Write a comment for this product

Download

Ebook format Pdf readable on these devices:

Computer
with Software:
- Adobe PDF Reader
Android
iPhone/Ipad
with App:
- Adobe PDF Reader
E-Book Reader
Ibs Tolino
Kobo

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