Information Properties of Consecutive Systems using Fractional Generalized Cumulative Residual Entropy

Mohamed Kayid; Mansour Shrahili

doi:10.20944/preprints202408.0982.v1

Preprint Article Version 1 This version is not peer-reviewed

Version 1 : Received: 12 August 2024 / Approved: 13 August 2024 / Online: 14 August 2024 (11:18:51 CEST)

We investigate some information properties of consecutive k-out-of-n:G systems in light of fractional generalized cumulative residual entropy. We firstly derive a formula to compute fractional generalized cumulative residual entropy related to the system's lifetime and explore its preservation properties in terms of established stochastic orders. Additionally, we obtain useful bounds. To aid practical applications, we propose two non parametric estimators for the fractional generalized cumulative residual entropy in these systems. The efficiency and performance of these estimators are illustrated using simulated and real datasets.

consecutive k-out-of-n:G systems; fractional generalized cumulative residual entropy; Shannon entropy; stochastic orders; real data

Computer Science and Mathematics, Probability and Statistics

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Information Properties of Consecutive Systems using Fractional Generalized Cumulative Residual Entropy

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