On general weighted cumulative past extropy
Pradeep Kumar Sahu, Nitin Gupta
TL;DR
This paper explores properties, bounds, and characterizations of the general weighted cumulative past extropy (n-WCPJ), including effects of transformations and relationships with order statistics, advancing understanding of this information measure.
Contribution
It introduces new properties, bounds, and characterizations of n-WCPJ, including effects of linear transformations and connections with order statistics.
Findings
Derived bounds and inequalities for n-WCPJ
Characterization of n-WCPJ based on largest order statistics
Analysis of conditional WCPJ properties
Abstract
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.
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Taxonomy
TopicsGraph theory and applications · Control Systems and Identification · Gene Regulatory Network Analysis