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Extropy properties of ranked set sample when ranking is not perfect

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  • Manoj Chacko
  • Varghese George

Abstract

In this article, extropy properties of the ranked set sample (RSS) when ranking is not perfect are considered. By deriving the expression for extropy of concomitant order statistic, the expression for extropy of RSS of the study variable Y in which an auxiliary variable X is used to rank the units in each set, under the assumption that (X,Y) follows Morgenstern family of distributions is obtained. The upper and lower bounds of extropy of RSS are obtained. The cumulative residual extropy of concomitant of order statistic and RSS arising from Morgenstern family of distributions are also obtained. The discrimination informations between the distribution of rth RSS statistic and the parent distribution are also obtained.

Suggested Citation

  • Manoj Chacko & Varghese George, 2024. "Extropy properties of ranked set sample when ranking is not perfect," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 53(9), pages 3187-3210, May.
    • Handle: RePEc:taf:lstaxx:v:53:y:2024:i:9:p:3187-3210
    DOI: 10.1080/03610926.2022.2150825
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