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.
Recommended Citation
Pararai, Mavis, Gayan Warahena-Liyanage, Broderick O. Oluyede.
2016.
"Exponentiated Power Lindley Poisson Distribution: Properties and Applications."
Communications in Statistics - Theory and Methods, 46 (10): 4726-4755.
doi: 10.1080/03610926.2015.1076473
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/624
