期刊名称:Pakistan Journal of Statistics and Operation Research
印刷版ISSN:2220-5810
出版年度:2021
卷号:17
期号:4
页码:1095-1112
DOI:10.18187/pjsor.v17i4.3495
语种:English
出版社:College of Statistical and Actuarial Sciences
摘要: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.
关键词:Lindley Poisson Distribution;
Maximum Likelihood estimation;
McDonald Distribution;
Moment;
Monte Carlo simulation