Geometric-Zero Truncated Poisson Distribution: Properties and Applications

Year 2019, , 1339 - 1354, 01.12.2019

Yunus Akdogan , Coskun Kus , Hamid Bıdram İsmail Kınacı

https://doi.org/10.35378/gujs.472978

Cited By: 2

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 (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

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