A DYNAMIC COMPETING RISKS MODEL

Authors:
Marcus A. Agustin;Edsel A. Peña
Affiliations:
Department of Mathematics, Physics, and Computer Science, Wheeling Jesuit University, Wheeling, West Virginia 26003;Department of Mathematics and Statistics, Bowling Green State University, Bowling Green, Ohio 43403
Venue:
Probability in the Engineering and Informational Sciences
Year:
1999

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Abstract

We consider a series system with p components where the failure rate of each component depends on the residual number of defects present. Successive tasks are given to the system with each task completion time independent of each component failure time. Based on the outcomes over a fixed testing period, the asymptotic properties of the estimators of the component parameters, task completion parameters, and eventual system reliability are obtained.