Topp-Leone Fréchet Distribution with Theory and Application

Authors

  • Laxmi Prasad Sapkota Lecturer, Tribhuvan University, Tribhuvan Multiple Campus, Palpa

DOI:

https://doi.org/10.3126/jjis.v10i01.42611

Keywords:

Estimation, Frechet distribution, moments, survival function, Topp-Leone generator

Abstract

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

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Published

2021-12-31

How to Cite

Sapkota, L. P. (2021). Topp-Leone Fréchet Distribution with Theory and Application. Janapriya Journal of Interdisciplinary Studies, 10(01), 65–80. https://doi.org/10.3126/jjis.v10i01.42611

Issue

Section

Research Articles