Title: Validation of tolerance interval
Authors: Lai, Yi-Hsuan
Yen, Ya-Fen
Chen, Lin-An
Institute of Statistics
Keywords: Confidence interval;Coverage interval;Tolerance interval
Issue Date: 1-Apr-2012
Abstract: The tolerance interval receives very much attention in literature and is widely applied in industry. However, it is generally constructed through the criterion of minimum width by Eisenhart et al. (1947). Although effort for clarification of several prediction related intervals has been made recently by Huang et al. (2010). the appropriateness of the tolerance interval for its role in industry applications is insufficiently discussed. According to manufacturers' requests, a concept of admissibility of tolerance intervals is defined in this paper and we show that these types of tolerance intervals are not admissible due to short of confidence. We further prove that a 100(1-alpha)% confidence interval of a gamma-coverage interval is admissible and is appropriate for use. (C) 2011 Elsevier B.V. All rights reserved.
URI: http://dx.doi.org/10.1016/j.jspi.2011.10.012
ISSN: 0378-3758
DOI: 10.1016/j.jspi.2011.10.012
Volume: 142
Issue: 4
Begin Page: 902
End Page: 907
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