標題: A note on the interval estimation of C-pk with asymmetric tolerances
作者: Lin, GH
Pearn, WL
工業工程與管理學系
Department of Industrial Engineering and Management
關鍵字: asymmetric tolerances;process capability index
公開日期: 1-Dec-2002
摘要: Pearn and Chen (1998) proposed a generalization of the widely used process capability index (PCI) C-pk to handle processes with asymmetric tolerances. They investigated the sampling distribution and obtained the exact formulae for the expected value and variance of its natural estimator. Recently, Pearn and Lin (2000) considered a different estimator under different process condition, and investigated the statistical properties of the new estimator. However, their efforts focused on the small sample properties under the normality assumption. In this paper, we investigate the large sample properties of its natural estimator under the general condition. Based on the limiting distribution of the new estimator, we provide an approximate 100(1 - alpha)% confidence interval of the considered PCI. The obtained confidence interval provides great benefit to quality engineers on monitoring the process and assessing process performance.
URI: http://dx.doi.org/10.1080/10485250215318
http://hdl.handle.net/11536/28373
ISSN: 1048-5252
DOI: 10.1080/10485250215318
期刊: JOURNAL OF NONPARAMETRIC STATISTICS
Volume: 14
Issue: 6
起始頁: 647
結束頁: 654
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