Article
Version 1
Preserved in Portico This version is not peer-reviewed
Cumulative Entropy of Past Lifetime for Coherent Systems at the System Level
Version 1
: Received: 21 August 2023 / Approved: 22 August 2023 / Online: 23 August 2023 (03:33:13 CEST)
A peer-reviewed article of this Preprint also exists.
Shrahili, M.; Kayid, M. Cumulative Entropy of Past Lifetime for Coherent Systems at the System Level. Axioms 2023, 12, 899. Shrahili, M.; Kayid, M. Cumulative Entropy of Past Lifetime for Coherent Systems at the System Level. Axioms 2023, 12, 899.
Abstract
In this paper, we investigate the cumulative historical entropy of the lifetime of an n-component coherent system under the assumption that all system components have failed at time t. Using the system signature, we can calculate the cumulative historical entropy of the system’s lifespan, which is an important aspect in determining a system’s predictability. This research produces a number of significant results, including expressions, bounds, and ordering aspects for this measure. In addition, we offer a method for finding a preferred system based on cumulative Kullback-Leibler discriminating information that is closely related to the parallel system. These findings provide important insights into the predictability and dependability of coherent systems, emphasizing the importance of this field.
Keywords
coherent system; cumulative past Entropy; stochastic orders; system signature
Subject
Computer Science and Mathematics, Probability and Statistics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Comments (0)
We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.
Leave a public commentSend a private comment to the author(s)
* All users must log in before leaving a comment
