Stochastic Comparisons and Dynamic Information of Random Lifetimes in a Replacement Model

Antonio Di Crescenzo and Patrizia Di Gironimo
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Antonio Di Crescenzo: Dipartimento di Matematica, Università degli Studi di Salerno, Via Giovanni Paolo II n. 132, 84084 Fisciano (SA), Italy
Patrizia Di Gironimo: Dipartimento di Matematica, Università degli Studi di Salerno, Via Giovanni Paolo II n. 132, 84084 Fisciano (SA), Italy

Mathematics, 2018, vol. 6, issue 10, 1-13

Abstract: We consider a suitable replacement model for random lifetimes, in which at a fixed time an item is replaced by another one having the same age but different lifetime distribution. We focus first on stochastic comparisons between the involved random lifetimes, in order to assess conditions leading to an improvement of the system. Attention is also given to the relative ratio of improvement, which is proposed as a suitable index finalized to measure the goodness of the replacement procedure. Finally, we provide various results on the dynamic differential entropy of the lifetime of the improved system.

Keywords: reliability; stochastic orders; scale family of distributions; proportional hazard rates; differential entropy (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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