Extropy properties of ranked set sample when ranking is not perfect

Manoj Chacko and Varghese George

Communications in Statistics - Theory and Methods, 2024, vol. 53, issue 9, 3187-3210

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.

Date: 2024
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DOI: 10.1080/03610926.2022.2150825

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