Effects of Assuming Independent Component Failure Times, If They Are Actually Dependent, In a Series System
Final rept. 1 Sep 1982-31 Dec 1987
OHIO STATE UNIV RESEARCH FOUNDATION COLUMBUS ANTENNA LAB
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The overall objective of this proposal is to develop improved estimation techniques for us in reliability studies when there are competing failure modes or competing causes of failure associated with a single failure mode in date from series systems. Such improved nonparametric estimators of the component failure distribution will be accomplished by incorporating some dependence structure between the potential component failure times. The first specific aim is to investigate techniques which identify departures from independence, based on data collected from series systems, by making some restrictive assumptions about the structure of the system, and obtain modified nonparametric estimators which incorporate some restrictive assumptions about the structure of the system. The second aim will be to develop improved nonparametric estimators of component lifetimes by obtaining modifications of the product limit estimator which incorporate some parametric information and by studying the robustness of these estimators to misspecification of the parametric model. Competing risk analyses have been performed in the past and will continue to be performed in the future. This study will provide the user of such techniques with an alternative to the usual approach of assuming independent risks, an assumption which most of the methods currently in use assume.
- Statistics and Probability