The Po-F (Poisson-Frechet) distribution: an overview with respect to Rainfall data

Abstract

A new mix distribution has been proposed in this paper. We have mixed Poisson distribution with Frechet distribution. Various properties like Reliability analysis, moments, quantile function and order statistics of the new distribution have been discussed. Maximum –likelihood estimation method has been used to estimate the parameters. The confidence interval along with  fishar information matrix have been proposed. Finally 57 years rainfall data have been applied in the data analysis part and compared with other distributions. As a result, our new distribution have been fit better than the other distributions.