Open AccessA Size-Biased Poisson-Gamma Lindley Distribution with Application
Author(s) -
Fatma Zohra Seghier,
Halim Zeghdoudi,
Abbes Benchaabane
Publication year - 2021
Publication title -
european journal of statistics
Language(s) - English
Resource type - Journals
ISSN - 2806-0954
DOI - 10.28924/ada/stat.1.132
Subject(s) - poisson distribution , gamma distribution , statistics , compound poisson distribution , statistical physics , mathematics , distribution (mathematics) , maximum likelihood , poisson regression , econometrics , physics , mathematical analysis , demography , sociology , population
In this paper, a size-biased Poisson-Gamma Lindley distribution (SBPGLD) has been obtained by size-biasing the Poisson-Gamma Lindley distribution (PGLD) introduced recently by Nedjar and Zeghdoudi (2020). Some of its statistical properties have been discussed. The method of maximum likelihood and the method of moments for the estimation of its parameters have been discussed. Also, an application on the real data of survival times of (56) Indian state of Kerala individus infected with Nipah virus is given.