On General Weighted Extropy of Extreme Ranked Set Sampling

TL;DR

This paper introduces a new representation of weighted extropy in extreme ranked set sampling, providing theoretical insights, bounds, and comparisons with simple random sampling to enhance understanding of this measure.

Contribution

It presents a novel representation and theoretical analysis of weighted extropy in the context of extreme ranked set sampling, including bounds and stochastic order results.

Findings

Derived new bounds for weighted extropy in extreme ranked set sampling.

Established stochastic order relations comparing with simple random sampling.

Provided characterizations of weighted extropy in the sampling context.

Abstract

The extropy measure, introduced by Lad, Sanfilippo, and Agro in their (2015) paper in Statistical Science, has garnered significant interest over the past years. In this study, we present a novel representation for the weighted extropy within the context of extreme ranked set sampling. Additionally, we offer related findings such as stochastic orders, characterizations, and precise bounds. Our results shed light onthe comparison between the weighted extropy of extreme ranked set sampling and its counterpart in simple random sampling.