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Optimal test planning for the fatigue-limit model when the fatigue-limit distribution is known
Pascual, F.G.  
Dept. of Math., Washington State Univ., Pullman, WA, USA;

This paper appears in: Reliability, IEEE Transactions on
Publication Date: June 2004
Volume: 53,  Issue: 2
On page(s): 284- 292
ISSN: 0018-9529
INSPEC Accession Number: 8061275
Digital Object Identifier: 10.1109/TR.2004.829140
Current Version Published: 2004-06-28

Abstract
This article discusses tools for planning life tests under the random fatigue-limit model, when the form of the fatigue-limit distribution is completely specified. Expressions for the Fisher information matrix elements are provided. Test-plan objectives, such as minimum variance of quantile or parameter estimator, can be written in terms of these expressions. Under Type I censoring, all experimental conditions can be described by a standardized slope parameter & a standardized log(censoring time). This article provides equivalence theorems, which can be used to check the optimality of test plans which often have two levels. The best three-level standard test plans are not optimal, but, in general, involve fewer extrapolations to low stresses than the optimal plans. Test plans for a titanium-alloy fatigue test are presented to illustrate the methods.

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