Chapter 6

Multivariate Reliability Concepts

Abstract

There are many complex devices and systems whose functioning depend on several components that may be dependent or independent. In such a scenario, the lifetime is composed of the lifetimes of components that may depend on different physical properties. In such a case, the study of system reliability can be facilitated only through the joint distribution of the component lifetimes. Thus, there is a need to extend various reliability concepts to higher dimensions. In this chapter, we discuss various multivariate reliability concepts. The development of concepts depends on the manner in which a univariate notion is generalized to suit the multivariate case. So, there are several possible ...

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