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Improving series and parallel systems through mixtures of duplicated dependent components |
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| Authors: | Antonio Di Crescenzo Franco Pellerey |
| Institution: | 1. Dipartimento di Matematica, Università di Salerno, Via Ponte don Melillo, I‐84084 Fisciano (SA), Italy;2. Dipartimento di Matematica, Politecnico di Torino, C.so Duca degli Abruzzi, 24, I‐10129 Torino, Italy |
| Abstract: | We discuss suitable conditions such that the lifetime of a series or of a parallel system formed by two components having nonindependent lifetimes may be stochastically improved by replacing the lifetimes of each of the components by an independent mixture of the individual components' lifetimes. We also characterize the classes of bivariate distributions where this phenomenon arises through a new weak dependence notion. © 2011 Wiley Periodicals, Inc. Naval Research Logistics, 2011 |
| Keywords: | stochastic orders series systems parallel systems dependence notions survival copula time‐transformed exponential model new better than used Parrondo paradox |