Studies properties and applications of weighted cumulative past extropy in dataset symmetry testing, highlighting significant findings and inequalities.
In this paper, we study some properties and characterization of the general weighted cumulative past extropy (n-WCPJ). Many results including some bounds, inequalities, and effects of linear transformations are obtained. We study the characterization of n-WCPJ based on the largest order statistics. Conditional WCPJ and some of its properties are discussed. We study weighted cumulative past extropy (WCPJ) and weighted negative cumulative extropy (WNCEX) and its application for testing symmetry of dataset.
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Sahu et al. (2023) studied this question.
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