標題: A comparison of methods for estimating loss-based capability index
作者: Wu, Chien-Wei
Shu, Ming-Hung
Pearn, W. L.
Cheng, Feng-Tsung
工業工程與管理學系
Department of Industrial Engineering and Management
關鍵字: coverage rate;loss-based capability index;lower confidence bound;performance comparison
公開日期: 2009
摘要: The process capability index Cpm, sometimes called the loss-based index, has been proposed to the manufacturing industry for measuring process reproduction capability. This index incorporates the variation of production items with respect to the target value and the specification limits preset in the factory. To estimate the loss-based index properly and accurately, certain frequentist and Bayesian perspectives have been proposed to obtain lower confidence bounds (LCBs) for providing minimum process capability. The LCBs not only provide critical information regarding process performance but are also used to determine whether an improvement was made in a capability index and by extension in reducing the fraction of non-conforming items. In this paper, under the assumption of normality, based on frequentist and Bayesian senses, several existing approaches for constructing LCBs of Cpm are presented. Depending on the statistical methods used, we then classify these existing approaches into three categories and compared them in terms of the coverage rates and the mean values of the LCBs via simulations. The relative advantages and disadvantages of these approaches are summarized with some highlights of the relevant findings.
URI: http://hdl.handle.net/11536/7949
http://dx.doi.org/10.1080/00949650802140711
ISSN: 0094-9655
DOI: 10.1080/00949650802140711
期刊: JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION
Volume: 79
Issue: 9
起始頁: 1129
結束頁: 1141
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