| 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 | en |
| ISSN | 0094-9655; 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 | GBR |
| 公開徵稿 | |
| 出版型式 | 紙本 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/69148 ) |
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