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A Note on Incorporating Simultaneous Multi‐level Failure Time Data in System Reliability Assessments
Authors:Todd L. Graves  Michael S. Hamada
Affiliation:1. Berry Consultants, Austin, TX, USA;2. Statistical Sciences Group, Los Alamos National Laboratory, Los Alamos, NM, USA
Abstract:In this article, we present a method how to evaluate the likelihood for simultaneous failure time data when monitoring is stopped when the system fails. Our method is based on the reliability structure of the system, listing all possible events consistent with the simultaneous data and calculating their contributions to the likelihood. The method is simple to understand and is based on standard probabilistic calculations. We also consider the Jackson and Mosleh 5 method, and some results suggest that the two methods are equivalent. Copyright © 2015 John Wiley & Sons, Ltd.
Keywords:censoring  complex parallel/series system  cumulative distribution function  event tree  likelihood  probability density function  reliability block diagram
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