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Improving series and parallel systems through mixtures of duplicated dependent components

Authors

  • Antonio Di Crescenzo,

    1. Dipartimento di Matematica, Università di Salerno, Via Ponte don Melillo, I-84084 Fisciano (SA), Italy
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  • Franco Pellerey

    Corresponding author
    1. Dipartimento di Matematica, Politecnico di Torino, C.so Duca degli Abruzzi, 24, I-10129 Torino, Italy
    • Dipartimento di Matematica, Politecnico di Torino, C.so Duca degli Abruzzi, 24, I-10129 Torino, Italy
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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

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