On some further properties and application of Weibull-R family of distributions

TL;DR

This paper explores new structural properties and characterizations of the Weibull-R family of distributions, enhancing understanding of its theoretical foundations and potential applications.

Contribution

It introduces novel structural properties and characterizations of the Weibull-R family, expanding its theoretical framework and potential usage.

Findings

Derived new structural properties of Weibull-R distributions

Provided characterizations via conditional moments and order statistics

Enhanced understanding of Weibull-R distribution properties

Abstract

In this paper, we provide some new results for the Weibull-R family of distributions (Alzaghal, Ghosh and Alzaatreh (2016)). We derive some new structural properties of the Weibull-R family of distributions. We provide various characterizations of the family via conditional moments, some functions of order statistics and via record values.