標題: | Validation of tolerance interval |
作者: | Lai, Yi-Hsuan Yen, Ya-Fen Chen, Lin-An 統計學研究所 Institute of Statistics |
關鍵字: | Confidence interval;Coverage interval;Tolerance interval |
公開日期: | 1-Apr-2012 |
摘要: | 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 http://hdl.handle.net/11536/15199 |
ISSN: | 0378-3758 |
DOI: | 10.1016/j.jspi.2011.10.012 |
期刊: | JOURNAL OF STATISTICAL PLANNING AND INFERENCE |
Volume: | 142 |
Issue: | 4 |
起始頁: | 902 |
結束頁: | 907 |
Appears in Collections: | Articles |
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