Abstract

In this paper, we introduce an extension of the exponentiated exponential(EE) distribution which offers a more flexible model for lifetime data. This model is generated by compound distribution with mixing exponential model. Several statistical and reliability properties of the proposed distribution are explored as the geometric extreme stability, sufficient conditions for the shape behavior of the density and hazard rate functions, the moments and mean residual life time. Estimation of unknown parameters using the maximum likelihood are obtained. Moreover, an application to a real data set is presented for illustrative purposes.

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