Robustly Estimating Lower Percentiles When Observations Are Costly

This article illustrates the effective use of Bayesian methods for the estimation of lower percentiles for the breaking strengths of materials. The method is presented in conjunction with the technique of median censoring, which censors reliability data at a point just slightly larger than the media...

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Bibliographic Details
Published in:Quality engineering 2015-07, Vol.27 (3), p.361-373
Main Authors: Young, Timothy M., León, Ramón V., Chen, Chung-Hao, Chen, Weiwei, Guess, Frank M., Edwards, David J.
Format: Article
Language:English
Subjects:
accelerated model
Assembly lines
Bayesian analysis
Bayesian methods
Failure analysis
lower percentiles
median censoring
medium-density fiberboard
strengths of materials
Studies
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Summary:This article illustrates the effective use of Bayesian methods for the estimation of lower percentiles for the breaking strengths of materials. The method is presented in conjunction with the technique of median censoring, which censors reliability data at a point just slightly larger than the median. As a result, median censoring allows users to safeguard against different failure mechanisms with greater weight placed on the smaller observations when model fitting. Additionally, Bayesian techniques may enable one to use less data from the production line for destructive testing.
ISSN:0898-2112
1532-4222
DOI:10.1080/08982112.2014.968667