A non-homogeneous Poisson shock model has a continuous mean function Λ(t). The kth shock Sk causes simultaneous failure of the components j ∊ J ∊ {1, ···, n} with probability pJ (Sk ). If Tj is the lifetime of component j, it is shown that (T 1, · ··, Tn ) belongs to various multivariate non-parametric life classes depending on the life class of
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