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Residual extropy in ranked set sampling: Properties, comparative analysis, and estimation

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  • Guoxin Qiua
  • Mohammad Z. Raqab
  • Hajar M. Alkhezi

Abstract

Ranked set sampling (RSS) has gained significant significance in numerous practical domains, such as environmental and ecological studies, and statistical genetics. This article focuses on investigating the concept of extropy as a measure of residual uncertainty in RSS. It is devoted to discussing various monotone properties and characterization results associated with the residual extropy of RSS. Additionally, a comparative analysis is conducted between the residual extropy of RSS and its counterpart in simple random sampling. Optimal minima and maxima values for the residual extropy of RSS are determined. To further contribute to the field, a consistent estimator for the residual extropy of RSS is proposed. The effectiveness of this estimator is demonstrated through three illustrative examples, highlighting its performance in practical scenarios.

Suggested Citation

  • Guoxin Qiua & Mohammad Z. Raqab & Hajar M. Alkhezi, 2025. "Residual extropy in ranked set sampling: Properties, comparative analysis, and estimation," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 54(13), pages 4141-4161, July.
    • Handle: RePEc:taf:lstaxx:v:54:y:2025:i:13:p:4141-4161
    DOI: 10.1080/03610926.2024.2413853
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