Tipagorn Insuk, Winai Bodhisuwan, and Uraiwan Jaroenjeratikun

pp. 97 - 108

Abstract

In this paper, we introduce a new six-parameter distribution, namely Beta Exponentiated Weibull Poisson (BEWP)
which is obtained by compounding between the exponentiated Weibull Poisson and beta distributions. We propose its basic
structural properties such as density function and moments for this new distribution. We re-express the BEWP density
function as a EWP linear combination, and use this to obtain its moments. In addition, it also contains several sub-models
that are well known. Moreover, we apply the maximum likelihood method to estimate parameters, and applications to real data
sets show the superiority of this new distribution by comparing the fitness with its sub-models.