Further Results Involving Residual and Past Extropy with their Applications

2024/06/21 by Mohamed Kayid, Kayid, Mohamed · 1 citation
Computer Science · Physics and Astronomy · Engineering · #Neural Networks and Applications #Model Reduction and Neural Networks #Fault Detection and Control Systems

paper · pdf · doi:10.48550/arxiv.2406.14985

Abstract

In this paper we focus on the study of the monotonicity properties of the residual and the past extropy as well as on some characterization problems. We then apply the derived results to analyze further stochastic aspects of order statistics, coherent systems, and record values. Using various examples, we illustrate the applicability and significance of the results obtained. In addition, non-parametric estimators for the residual and past extropy measures are introduced. The performance of the acquired estimators has been illustrated using simulated data sets and also real data sets.

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