Generalized Exponential Poisson Geometric Distribution using Marshall-Olkin Technique

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.