Open AccessTopp-Leone Fréchet Distribution with Theory and Application
Author(s) -
Laxmi Prasad Sapkota
Publication year - 2021
Publication title -
janapriya journal of interdisciplinary studies/janapriya journal of interdisciplinary studies
Language(s) - English
Resource type - Journals
eISSN - 2773-8000
pISSN - 2362-1516
DOI - 10.3126/jjis.v10i01.42611
Subject(s) - mathematics , generalization , distribution (mathematics) , statistics , sierra leone , mathematical analysis , economics , development economics
We have defined a new distribution as a generalization of Frechet distribution called the Topp-Leone Frechet distribution. Some properties and characteristics of the proposed distribution are presented. The hazard rate function can have the shape of the reverse-j, right-skewed and unimodal. The parameters of the proposed model are estimated by employing the maximum likelihood estimation (MLE) method and asymptotic confidence intervals for MLEs are also provided. R software is used for computational purpose. The application of the Topp-Leone Frechet distribution is presented by considering a real dataset and found that the proposed model provided a good fit as compared with some competing models