On General Weighted Extropy of Percentile Ranked Set Sampling

TL;DR

This paper introduces a new way to measure weighted extropy within percentile ranked set sampling, offering insights into its properties and comparisons with simple random sampling.

Contribution

It presents a novel representation of weighted extropy in percentile ranked set sampling and explores its stochastic orders, characterizations, and bounds.

Findings

Comparison between weighted extropy in percentile ranked set sampling and simple random sampling.

Insights into stochastic orders and bounds for weighted extropy.

Enhanced understanding of the properties of weighted extropy in sampling methods.

Abstract

The extropy measure, first proposed by Lad, Sanfilippo, and Agro in their (2015) paper in Statistical Science, has attracted considerable attention in recent years. Our study introduces a fresh approach to representing weighted extropy in the framework of percentile ranked set sampling. Furthermore, we provide additional insights such as stochastic orders, characterizations, and bounds. Our findings illuminate the comparison between the weighted extropy of percentile ranked set sampling and its equivalent in simple random sampling.