Hacettepe Journal of Mathematics and Statistics 2651-477X 2651-477X Hacettepe University 10.15672/hujms.1820742 Theory of Sampling Statistics (Other) Örnekleme Teorisi İstatistik (Diğer) Weighted extropy properties of ranked set sample for Morgenstern family of distributions https://orcid.org/0000-0001-5685-9904 Chacko Manoj University of Kerala, Thiruvananthapuram https://orcid.org/0000-0002-0754-468X George Varghese St. Stephen"s College 03 12 2026 55 2 806 825 11 18 2025 02 10 2026 Copyright © 2002, Hacettepe Journal of Mathematics and Statistics 2002 Hacettepe Journal of Mathematics and Statistics

In this paper, the weighted extropy properties of the ranked set sample are considered when the ranking is not perfect. By deriving the expression for the weighted extropy of concomitant order statistics, the expression for the weighted extropy of the ranked set sample of the study variable $ Y $ is obtained in which an auxiliary variable $ X $ is used to rank the units in each set, under the assumption that $ (X, Y) $ follows the Morgenstern family of distributions is obtained. The upper and lower bounds of the weighted extropy of the ranked set sample are obtained. The weighted extropy of the Morgenstern type bivariate uniform distribution and Morgenstern type bivariate exponential distribution are also discussed. Weighted discrimination information is also obtained between the distribution of the concomitant of the rth order statistic and the parent distribution.

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