Exponentiated Power Lindley Poisson Distribution: Properties and Applications
Communications in Statistics - Theory and Methods
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.
Pararai, Mavis, Gayan Warahena-Liyanage, Broderick O. Oluyede.
"Exponentiated Power Lindley Poisson Distribution: Properties and Applications."
Communications in Statistics - Theory and Methods, 46 (10): 4726-4755.
doi: 10.1080/03610926.2015.1076473 source: https://www.tandfonline.com/doi/full/10.1080/03610926.2015.1076473