Effects of Assuming Independent Component Failure Times, if They Are Actually Dependent, in a Series System.
Annual rept. 1 Oct 84-31 Oct 85,
OHIO STATE UNIV RESEARCH FOUNDATION COLUMBUS
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The overall objective of this proposal is to investigate the robustness to departures from independence of methods currently in use in reliability studies when competing failure modes or competing causes of failure associated with a single mode are present in a series system. The first specific aim is to examine the error one makes in modeling a series system by a model which assumes statistically independent component lifetimes when in fact the component lifetimes follow some multivariate distribution. The second specific aim is to assess the effects of the independence assumption on the error in estimating component parameters from life tests on series systems. In both cases, estimates of such errors will be determined via mathematical analysis and computer simulations for several prominent multivariate distributions. A graphical display of the errors for representative distributions will be made available to researchers who wish to assess the possible erroneous assumption of independent competing risks. A third aim is to tighten the bounds on estimates of component reliability when the risks belong to a general dependence class of distributions for example, positive quadrant dependence, positive regression dependence, etc.. Keywords ScenesMathematics and Mathematical models.
- Statistics and Probability