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Statistica Sinica 4(1994), 549-565


A SYSTEMS MODEL FOR RELIABILITY STUDIES


Albert W. Marshall


University of British Columbia and Western Washington University


Abstract: In this paper a systems model is discussed which is sufficiently general to encompass most situations in which component states at time t determine the system state at time t. The model is also useful for complex systems which do not have easily identifiable components.

In terms of this model, notions of ``life length'' are defined and some results for standard models concerning life distributions are generalized.



Key words and phrases: Coherent structures, multi-state coherent systems, new better than used, increasing hazard rate average.



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