Document Type

Article

Publication Date

4-26-2016

Publication Title

Electronic Journal of Applied Statistical Sciences

DOI

10.1285/i20705948v9n1p169

ISSN

2070-5948

Abstract

A new four parameter distribution called the Dagum-Poisson (DP) distribution is introduced and studied. This distribution is obtained by compounding Dagum and Poisson distributions. The structural properties of the new distribution are discussed, including explicit algebraic formulas for its survival and hazard functions, quantile function, moments, moment generating function, conditional moments, mean and median deviations, Bonferroni and Lorenz curves, distribution of order statistics and R\'enyi entropy. Method of maximum likelihood is used for estimating the model parameters. A Monte Carlo simulation study is conducted to examine the bias, mean square error of the maximum likelihood estimators and width of the confidence interval for each parameter. A real data set is used to illustrate the usefulness, applicability, importance and flexibility of the new distribution.

Comments

This is an open access article retrieved from the Electronic Journal of Applied Statistical Analysis. This work is copyrighted by Universita del Salento and is licensed under a Creative Commons Attribuzione - Non commerciale - Non opere derivate 3.0 Italia License.

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