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Stochastic Comparisons

In: Introduction to System Reliability Theory

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  • Jorge Navarro

    (Universidad de Murcia, Facultad de Matematicas)

Abstract

In this chapter we use the representations obtained in the preceding chapter to stochastically compare the performance of different systems. We consider the main stochastic orders: the usual stochastic order, the hazard rate order, the mean residual life order, the reversed hazard rate order and the likelihood ratio order. We use different techniques depending on the assumptions made about the components. We consider systems with independent and identically distributed (IID) components, exchangeable (EXC) components, identically distributed (ID) components, independent (IND) components or dependent components. The dependence is modeled by using copulas (or joint reliability functions). This chapter is based on the review paper Navarro (2018b).

Suggested Citation

  • Jorge Navarro, 2022. "Stochastic Comparisons," Springer Books, in: Introduction to System Reliability Theory, chapter 0, pages 71-116, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-86953-3_3
    DOI: 10.1007/978-3-030-86953-3_3
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