Converting Dependent Models into Independent Ones, Preserving Essential Features,
FLORIDA STATE UNIV TALLAHASSEE DEPT OF STATISTICS
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Let T denote the life length of a series system of n components having respective life lengths T sub 1, ..., T sub n, not necessarily independent. Necessary and sufficient conditions are given for the existence of a set of independent random variables H sub I, I a subset of 1, ..., n, such that the life length of the original series system and the occurrence of its failure pattern set of components whose simultaneous failure coincides with that of the system have the same joint distribution as the life length of a derived series system of components having life lengths H sub I and the occurence of the corresponding failure pattern of the derived system. The authors also exhibit explicitly the distributions of these independent random variables H sub I. This extends the results of Miller University of Missouri Technical Report, 1975 while using more elementary methods.
- Statistics and Probability
- Manufacturing and Industrial Engineering and Control of Production Systems