Main Article Content
Abstract
We propose the McDonald Lindley-Poisson distribution and derive some of its mathematical properties including explicit expressions for moments, generating and quantile functions, mean deviations, order statistics and their moments. Its model parameters are estimated by maximum likelihood. A simulation study investigates the performance of the estimates. The new distribution represents a more flexible model for lifetime data analysis than other existing models as proved empirically by means of two real data sets.
Keywords
Lindley Poisson Distribution
Maximum Likelihood estimation
McDonald Distribution
Moment
Monte Carlo simulation
Article Details
Copyright and licensing
Copyright © 2021 Pakistan Journal of Statistics and Operation Research
Creative Commons Attribution 4.0 International (CC BY 4.0)
Reuse is governed by the linked license.
Publication information
How to Cite
Percontini, A., Gomes-Silva, F., V. da Silva, R., Handique, L., & Diniz Marinho, P. R. (2021). The McDonald Lindley-Poisson Distribution. Pakistan Journal of Statistics and Operation Research, 17(4), 1095-1112. https://doi.org/10.18187/pjsor.v17i4.3495