Kayid, M.; Shrahili, M. Rényi Entropy for Past Lifetime Distributions with Application in Inactive Coherent Systems. Symmetry2023, 15, 1310.
Kayid, M.; Shrahili, M. Rényi Entropy for Past Lifetime Distributions with Application in Inactive Coherent Systems. Symmetry 2023, 15, 1310.
Kayid, M.; Shrahili, M. Rényi Entropy for Past Lifetime Distributions with Application in Inactive Coherent Systems. Symmetry2023, 15, 1310.
Kayid, M.; Shrahili, M. Rényi Entropy for Past Lifetime Distributions with Application in Inactive Coherent Systems. Symmetry 2023, 15, 1310.
Abstract
For a system that turns out to be inactive in time t, the past entropy is considered as an
uncertainty measure for the past lifetime distribution. In this study, we consider a coherent system
that includes n components and has the property that all the components of the system have failed at
time t. To assess the predictability of the coherent system’s lifetime, we use the system’s signature
to determine the Rényi entropy of its past lifetime. We study several analytical results, including
expressions, bounds, and order properties for this measure.
Keywords
coherent system; past entropy; Shannon differential entropy; system signature
Subject
Physical Sciences, Mathematical Physics
Copyright:
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