A NEW LIFETIME DISTRIBUTION: MODEL, PROPERTIES AND APPLICATIONS

In this paper we introduce the exponentiated Weibull-Poisson (EWP) distribution, which is obtained by compounding exponentiatedWeibull and zero truncated Poisson distribution. This distribution contains several lifetime models such as: generalized exponential-Poisson (GEP), complementary Weibull-Poisson (GWP), complementary exponential-Poisson (CEP), exponentiated Rayleigh-Poisson (ERP) and Rayleigh-Poisson (RP) distributions as a special case. The hazard rate function of the EWP distribution can be decreasing and unimodal among others. We obtain several properties of the EWP distribution such as model, moments and R´enyi and Shannon entropies.