Generalized Exponential Poisson Geometric Distribution using Marshall-Olkin Technique
M. M. E. Abd El-Monsef *
Faculty of Science, Tanta University, Egypt.
N. M. Sohsah
Faculty of Science, Tanta University, Egypt.
W. A. Hassanein
Faculty of Science, Tanta University, Egypt.
*Author to whom correspondence should be addressed.
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.
Keywords: Marshall Olkin distribution, generalized exponential power series, exponential distribution, Poisson distribution, geometric distribution