Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

TRényi’s Entropy for the Past Life Distribution With Application in Inactive Coherent Systems

Version 1 : Received: 3 June 2023 / Approved: 5 June 2023 / Online: 5 June 2023 (04:16:41 CEST)

A peer-reviewed article of this Preprint also exists.

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. 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

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