In this paper, we study the gamma Weibull Poisson distribution that has many special cases of distributions discussed in the literature. We study some important mathematical properties such as moments, moment generating and quantile functions. We obtain an explicit expression for Rényi entropy. Further, we write the probability density function of the GWP distribution as a linear combination of WP density functions.
Gamma Weibull Poisson distribution; maximum likelihood; hazard rate
