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Research Article Open access CC BY 4.0

Generalized Exponential Poisson Geometric Distribution using Marshall-Olkin Technique

M. M. E. Abd El-Monsef, N. M. Sohsah, W. A. Hassanein

Journal of Advances in Mathematics and Computer Science · pp. 50–60 · Published 25 Dec 2021

10.9734/jamcs/2021/v36i1130418

Abstract

A new continuous distribution is generated by using Marshall Olkin method; it is probability function has been generated also distribution function. Reliability function and hazard function. The proposed called geometric Poisson exponential distribution (GEPGD). some of it is properties are investigated; parameters estimation are obtained using more than one methods such as maximum likelihood method, least square method, weighted least square method and Cramér- Von- Mises. The simulation study for GEPGD parameters. Finally. A real-life application is applied for studying the importance and the flexibility of the proposed distributions comparing with other well-known distributions.

Marshall Olkin distribution generalized exponential power series exponential distribution Poisson distribution geometric distribution

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