Open AccessExponentiated Frechet Distribution with Application in Temperature of Assam, India Overview with New Properties and Estimation
Author(s) -
Umme Habibah Rahman,
Tanusree Deb Roy
Publication year - 2021
Publication title -
asian journal of probability and statistics
Language(s) - English
Resource type - Journals
ISSN - 2582-0230
DOI - 10.9734/ajpas/2021/v15i430375
Subject(s) - mathematics , statistics , quantile , fisher information , confidence interval , quantile function , hazard ratio , order statistic , distribution function , distribution (mathematics) , goodness of fit , reliability (semiconductor) , survival function , econometrics , probability density function , cumulative distribution function , survival analysis , mathematical analysis , physics , thermodynamics , power (physics)
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.