THE BETA WEIBULL-FRÉCHET DISTRIBUTION: CHARACTERIZATIONS AND APPLICATIONS

Abstract

The aim of this article is to discuss a new model called the beta Weibull-Fréchet (BW-Fr) distribution. Fundamental characteristics of this distribution are provided such as the density, cumulative, survival, and hazard functions. Several sub-models of BW-Fr are defined. Also, the quantile function, moments, some measures of central tendency, dispersion, order statistics, and Rényi entropy are obtained. The maximum likelihood (ML) estimation is employed to estimate the unknown model’s parameters. Some numerical results are investigated to examine the performance of the estimates. Finally, applications for two real datasets are presented to illustrate the importance and flexibility of the new proposed model.