摘要：Providing a wider distribution is always precious for statisticians. A new five-parameter distribution called the beta Weibull Poisson is proposed, which is obtained by com- p ounding the Weibull Poisson and beta distributions. It generalizes several known life- time mo dels. We obtain some properties of the proposed distribution such as the survival and hazard rate functions, quantile function, ordinary and incomplete moments, order statistics and Rényi entropy. Estimation by maximum likeliho od and inference for large samples are addressed. The potentiality of the new mo del is shown by means of a real data set. In fact, the proposed model can pro duce better fits than some well-known distributions.
关键词：Beta distribution ; Generating function ; Lifetime data ; Mean Deviation ; ; Moment ; Quantile function
