Sankhya: The Indian Journal of Statistics

1999, Volume 61, Series A, Pt. 2, 218-228

UNIFORM STOCHASTIC ORDERING ON A SYSTEM OF COMPONENTS WITH DEPENDENT LIFETIMES INDUCED BY A COMMON ENVIRONMENT

By

CHUNSHENG MA, The University of Sydney, Australia

SUMMARY. A system of n non-renewable components sharing a common random environment is considered. In terms of the uniform stochastic orderings, it is shown how the random environment can affect the number of components functioning and the lifetime of a k-out-of-n system.

AMS (1991) subject classification. 62K10, 62N05, 90B25.

Key words and phrases. k-out-of-n system, likelihood ratio ordering, order statistics, stochastic ordering, uniform stochastic orderings.

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