The Nakagami Frechet Distribution in Modeling Real-life Data

Abstract

This article's main emphasis was on the Nakagami Frechet (NF) distribution's generalization. In this study, theoretical derivations for the probability density function (PDF), cumulative distribution function (CDF), survival, and hazard functions of the NF distribution were derived and discussed. Some fundamental mathematical and statistical properties are derived. In addition, the maximum likelihood estimator is used to obtain the model parameters. We present the simulation to evaluate the reliability of maximum likelihood estimators. Finally, to demonstrate the utility of the proposed distribution, the model was applied to real-life data sets.