Chapter 8

Multivariate Lifetime Models

Abstract

After having discussed the ageing notions and classes of life distributions based on their properties, the next stage is to propose some basic models that can be used in analysing multivariate failure time data. We concentrate mainly on bivariate distributions whose reliability functions have simple and meaningful mathematical forms. To begin with, we present seven different versions of multivariate geometric distributions. All of them have geometric marginals with the component lives thus possessing no-ageing property, but with different kinds of ageing and dependence properties at the system level. These distributions permit generalizations to more flexible models like the discrete Weibull, ...

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