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Some Results on Cumulative Residual Inaccuracy Measure of k-Record Values

by Ritu Goel, Vikas Kumar, Sarang Vehale, and Tony C. Scott

Posted: November 7, 2025
Server: Preprints.org
DOI: 10.20944/preprints202511.0541.v1

Herein, we consider the significance of cumulative residual entropy (CRE) and its numerous generalizations. This article presents an extension of the cumulative residual inaccuracy as proposed by Taneja and Kumar to k-record values. We examine certain properties of this measure. Additionally, we investigate some stochastic ordering and identify the proposed measure for several distributions that frequently arise in various realistic scenarios and have applications across multiple fields of science and engineering.

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