Some multivariate distributions derived from a non-fatal shock model

Some multivariate distributions derived from a non-fatal shock model

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Article ID: iaor1988516
Country: Israel
Volume: 25
Issue: 2
Start Page Number: 383
End Page Number: 390
Publication Date: Jun 1988
Journal: Journal of Applied Probability
Authors:
Keywords: stochastic processes
Abstract:

A non-homogeneous Poisson shock model has a continuous mean function ℝ(t). The kth shock Sk causes simultaneous failure of the components j∈Jℝ∈1,...,n∈ with probability pJ(Sk). If Tj is the lifetime of component j, it is shown that (T1,...,Tn) belongs to various multivariate non-parametric life classes depending on the life class of &Ftilde;(t)=exp∈¸-ℝ(t)∈.

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