Statistical Inference of Modified Frechet–Exponential Distribution with Applications to Real-Life Data

Authors

Ahmed T. Farhat, Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, EgyptFollow
Dina A. Ramadan, Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, EgyptFollow
B. S. El-Desouky, Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, EgyptFollow

Author Country (or Countries)

Egypt

Abstract

This paper introduces a new lifetime model, referred to as modified Frechet–Exponential distribution (MFED), is developed on the basis of the modified Frechet method. Numerous statistical properties of the suggested model are derived and discussed including ordinary and incomplete moments, quantile, mode, the moment generating functions, reliability and order statistics. The observed Fisher’s information matrix is provided, and the model parameters are estimated using the maximum likelihood technique. The suggested model is very adaptable and has the capacity to simulate datasets with monotonic and nonmonotonic failure rates. The proposed model is applied on three real datasets for checking its performance in comparison with available well-known models. The motivation of this work that the suggested model has shown good performance in comparison with the available versions of the Exponential distribution used in the literature.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/170112

Recommended Citation

T. Farhat, Ahmed; A. Ramadan, Dina; and S. El-Desouky, B. (2023) "Statistical Inference of Modified Frechet–Exponential Distribution with Applications to Real-Life Data," Applied Mathematics & Information Sciences: Vol. 17: Iss. 1, Article 12.
DOI: http://dx.doi.org/10.18576/amis/170112
Available at: https://digitalcommons.aaru.edu.jo/amis/vol17/iss1/12