教師資料查詢 | 類別: 期刊論文 | 教師: 吳淑妃 WU SHU-FEI (瀏覽個人網頁)

標題:A note on the asymptotic distribution of the process capability index C pmk
學年98
學期2
出版(發表)日期2010/02/01
作品名稱A note on the asymptotic distribution of the process capability index C pmk
作品名稱(其他語言)
著者Wu, Shu-Fei; Liang, Mei-Chu
單位淡江大學統計學系
出版者Abingdon: Taylor & Francis Ltd.
著錄名稱、卷期、頁數Journal of Statistical Computation and Simulation 80(2), pp.227–235
摘要Process capability indices have been widely used to evaluate the process performance to the continuous improvement of quality and productivity. The distribution of the estimator of the process capability index C pmk is very complicated and the asymptotic distribution is proposed by Chen and Hsu [The asymptotic distribution of the processes capability index C pmk , Comm. Statist. Theory Methods 24(5) (1995), pp. 1279–1291]. However, we found a critical error for the asymptotic distribution when the population mean is not equal to the midpoint of the specification limits. In this paper, a correct version of the asymptotic distribution is given. An asymptotic confidence interval of C pmk by using the correct version of asymptotic distribution is proposed and the lower bound can be used to test if the process is capable. A simulation study of the coverage probability of the proposed confidence interval is shown to be satisfactory. The relation of six sigma technique and the index C pmk is also discussed in this paper. An asymptotic testing procedure to determine if a process is capable based on the index of C pmk is also given in this paper.
關鍵字process capability index;asymptotic distribution;confidence interval
語言英文
ISSN0094-9655; 1563-5163
期刊性質國外
收錄於SCI
產學合作
通訊作者Wu, Shu-Fei
審稿制度
國別英國
公開徵稿
出版型式紙本
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