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

Herein, we consider the significance of cumulative residual entropy (CRE) and its numerous generalizations. This article presents an extension of the cumulative residual inaccuracy to <i>k</i>-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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Publication Details

Journal
Entropy
Published
2025-12-24
DOI
https://doi.org/10.3390/e28010017
Primary Topic
Statistical Distribution Estimation and Applications
Type
article
Field-Weighted Citation Impact
0.00
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article

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

T Scott, Ritu Goel, Vikas Kumar, Sarang Vehale
Entropy
Statistical Distribution Estimation and Applications
article

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

T Scott, Ritu Goel, Vikas Kumar, Sarang Vehale
article en

Abstract

Herein, we consider the significance of cumulative residual entropy (CRE) and its numerous generalizations. This article presents an extension of the cumulative residual inaccuracy to <i>k</i>-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.

EntropyVol. 28(1)
Forensic Sciences Department (IN), Vivekananda Institute of Biotechnology (IN), RWTH Aachen University (DE), Maharshi Dayanand University (IN)
Openalex Percentile: Top 24%
Statistical Distribution Estimation and Applications
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