General weighted cumulative residual (past) extropy of minimum (maximum) ranked set sampling with unequal samples

Santosh Kumar Chaudhary and Nitin Gupta

Communications in Statistics - Theory and Methods, 2024, vol. 53, issue 22, 8076-8096

Abstract: The general weighted cumulative residual extropy (GWCRJ) and general weighted cumulative past extropy (GWCPJ) are introduced in this article. There are some results in relation to GWCPJ and GWCRJ. We take into account GWCRJ-based uncertainty measures for the minimal ranked set sampling technique with unequal samples (minRSSU). Additionally, we take into account GWCPJ-based uncertainty measures for the maximum ranked set sampling technique with unequal samples (maxRSSU). Stochastic comparison for simple random sampling (SRS) is discussed. We looked at the monotone properties of minRSSU and maxRSSU as well as stochastic comparison. The empirical estimators of GWCPJ and GWCRJ are obtained and a simulation study for comparing the proposed estimator will be given involving the proposed ranked set sampling schemes under perfect ranking.

Date: 2024
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DOI: 10.1080/03610926.2023.2279910

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