On general weighted extropy of extreme ranked set sampling

Pradeep Kumar Sahu and Nitin Gupta

Communications in Statistics - Theory and Methods, 2025, vol. 54, issue 14, 4616-4634

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 (ERSS). Additionally, we offer related findings such as stochastic orders, characterizations, and precise bounds. We study the results of ERSS on cumulative past extropy and conduct a comparative analysis between the extropy estimator in ERSS and simple random sampling (SRS) using simulation method. Our results shed light on the comparison between the weighted extropy of ERSS and its counterpart in SRS.

Date: 2025
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DOI: 10.1080/03610926.2024.2425739

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