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Systems weakend by failures
Authors:Ilkka Norros
Institution:

Department of Mathematics, University of Helsinki, Hallituskatu 15, 00100 Helsinki 10, Finland

Abstract:The ideas of a dynamic approach to the analysis of multivariate life length distributions, introduced in Arjas (1981a) and Arjas and Norros (1984), are developed further. Basic definitions are given in terms of prediction processes. Properties of martingales jumping downwards at failure times are studied. Finally, the spaecial case of a general multivariate exponential distribution is considered.
Keywords:prediction process  martingale  association  stochastic order  marked point process  multivariate exponential  weakened by failures
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