On General Weighted Extropy of Ranked Set Sampling

TL;DR

This paper introduces the concept of general weighted extropy for ranked set sampling, exploring its properties, comparisons with simple random sampling, and various characterization and stochastic properties.

Contribution

It extends the weighted extropy measure to ranked set sampling and analyzes its properties, providing new theoretical insights and comparisons.

Findings

Derived the general weighted extropy for ranked set sampling

Studied characterization, stochastic comparison, and monotonicity properties

Compared weighted extropy of ranked set sampling with simple random sampling

Abstract

In the past six years, a considerable attention has been given to the extropy measure proposed by Lad et al. (2015). Weighted Extropy of Ranked Set Sampling was studied and compared with simple random sampling by Qiu et al. (2022). The general weighted extropy and some results related to it are introduced in this paper. We provide general weighted extropy of ranked set sampling. We also studied characterization results, stochastic comparison and monotone properties of general weighted extropy.