Title

Exponentiated Power Lindley Poisson Distribution: Properties and Applications

Document Type

Article

Publication Date

2016

Publication Title

Communications in Statistics - Theory and Methods

DOI

10.1080/03610926.2015.1076473

ISSN

1532-415X

Abstract

A new four-parameter distribution called the exponentiated power Lindley-Poisson (EPLP) distribution which is an extension of the power Lindley and Lindley-Poisson distributions is introduced. Statistical properties of the distribution including the shapes of the density and hazard functions, moments, entropy measures and distribution of order statistics are given. Maximum likelihood estimation technique is used to estimate the parameters. A 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. Finally applications to real data sets are presented to illustrate the usefulness of the proposed distribution.

Share

COinS