The Gamma Inverse Weibull Poisson Distribution With application to survival data

Im proposing this distribution with the following specific objectives: 1. To develop a Gamma Inverse Weibull Poisson distribution. 2. To derive the statistical properties of the distribution. 3. To estimate the parameters of the distribution using maximum likelihood method. 4. To assess the performance of the estimators. 5. To apply the proposed distribution in modelling survival data sets.