Geometric-Zero Truncated Poisson Distribution: Properties and Applications

Authors : Yunus AKDOGAN, Coskun KUS, Hamid BIDRAM, İsmail KINACI

Pages : 1339-1354

Doi:10.35378/gujs.472978

View : 22 | Download : 11

Publication Date : 2019-12-01

Article Type : Research Paper

Abstract :In this paper, a new discrete distribution is introduced by compounding the geometric distribution with a zero truncated Poisson distribution, named geometric-zero truncated Poisson insert ignore into journalissuearticles values(GZTP); distribution. Some basic properties of the new distribution, such as the hazard rate function, moments, mode, median, etc., are studied. We show mathematically and numerically that the hazard rate function is increasing. The model parameters are estimated by the moment, least squared error and maximum likelihood methods. A simulation study is performed to compare the performance of the different estimators in terms of bias and mean squared error. An application of the new model is also illustrated using the three real data sets.
Keywords : Compounding, Estimation, Geometric distribution, Zero truncated Poisson distribution