Article
Version 1
This version is not peer-reviewed
Results on Cumulative Entropic Properties of Consecutive Systems
Version 1
: Received: 18 August 2024 / Approved: 19 August 2024 / Online: 20 August 2024 (03:40:59 CEST)
How to cite: Alshehri, M. A.; Kayid, M. Results on Cumulative Entropic Properties of Consecutive Systems. Preprints 2024, 2024081381. https://doi.org/10.20944/preprints202408.1381.v1 Alshehri, M. A.; Kayid, M. Results on Cumulative Entropic Properties of Consecutive Systems. Preprints 2024, 2024081381. https://doi.org/10.20944/preprints202408.1381.v1
Abstract
This paper reveals some properties of the cumulative entropy of consecutive k-out-of-n:F
system's lifetime. First, we introduce a method for calculating the cumulative entropy of
their lifetime and explore its preservation properties using established stochastic orders. Ad-
ditionally, we obtain useful bounds that can used in situations where the distribution function
of the system's component lifetimes are complicated or systems have large components. To
support practical applications, we present two nonparametric estimators for the cumulative
entropy of these systems. The efficiency and performance of these estimators are illustrated
with simulated datasets and further validated with real data sets.
Keywords
Consecutive k-out-of-n:F systems; Cumulative entropy; Shannon entropy; Stochas- tic orders; Real data
Subject
Engineering, Control and Systems Engineering
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.
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