Exponentiated Frechet Distribution with Application in Temperature of Assam, India Overview with New Properties and Estimation
Umme Habibah Rahman *
Department of Statistics, Assam University, Silchar, Assam, India.
Tanusree Deb Roy
Department of Statistics, Assam University, Silchar, Assam, India.
*Author to whom correspondence should be addressed.
Abstract
In this paper, a new kind of distribution has suggested with the concept of exponentiate. The reliability analysis including survival function, hazard rate function, reverse hazard rate function and mills ratio has been studied here. Its quantile function and order statistics are also included. Parameters of the distribution are estimated by the method of Maximum Likelihood estimation method along with Fisher information matrix and confidence intervals have also been given. The application has been discussed with the 30 years temperature data of Silchar city, Assam, India. The goodness of fit of the proposed distribution has been compared with Frechet distribution and as a result, for all 12 months, the proposed distribution fits better than the Frechet distribution.
Keywords: Type-II extreme value distribution, exponentiated distribution, reliability analysis, order statistics, fisher information matrix, confidence interval, maximum likelihood estimation, application.