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| 不同标准差估计方法下的过程能力指数的置信区间的比较研究 | |
| 引用本文： | 孔祥芬,何桢,车建国,靳慧斌.不同标准差估计方法下的过程能力指数的置信区间的比较研究[J].应用概率统计,2009,25(2):164-170. |
| 作者姓名： | 孔祥芬 何桢 车建国 靳慧斌 |
| 作者单位： | 1. 天津大学管理学院工商管理系,天津,300072;中国民航大学航空工程学院工业工程系,天津,300300 2. 天津大学管理学院工商管理系,天津,300072 3. 南开大学泰达学院,天津,300457 4. 民航安全科学研究所,天津,300300 |
| 基金项目： | 国家自然科学基金，中国民航大学科研启动基金，天津市社会科学规划项目 |
| 摘 要： | 采用样本标准差$s$、$s/c_4$、$\ol{R}/d_2$以及MVA分析后的$\wh{\sigma}_{\text{TOTAL}}$分别估计总体标准差,介绍了相应的$\wh{C}_p$和$\wh{C}_{pk}$以及$C_p$的置信区间,分析了每种标准差估计方法的特点, 结合案例进行比较研究. |
| 关 键 词： | MVA 置信区间 标准差 过程能力指数. |
A Comparativen Study on Confidence Interval of $C_p$ in Terms of Standard Deviation Estimated |
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| KONG XIANGFEN,HE ZHEN,CHE JIANGUO,JIN HUIBIN.A Comparativen Study on Confidence Interval of $C_p$ in Terms of Standard Deviation Estimated[J].Chinese Journal of Applied Probability and Statisties,2009,25(2):164-170. | |
| Authors: | KONG XIANGFEN HE ZHEN CHE JIANGUO JIN HUIBIN |
| Institution: | Department of Business dministration,School of Management of TianjinUniversity; Department of Industrial Engineering, eronatical Mechanics &; vionics Engineering College,Civil Aviation University of China;TEDA College, Nankai University; Research Institute of Civil Aviation Safety |
| Abstract: | The estimator of population standard deviationcan be represented by sample standard deviation $s$, $s/c_4$, \ol{R}/d_2$ and $\wh{\sigma}_{\text{TOTAL}}$ based on MVA, espectively. This paper presents the estimation of $C_p$ and C_{pk}$ as well as the confidence interval of $C_p$ using differentestimation methods of population standard deviation. Further, eachestimation method is analyzed in an example. |
| Keywords: | MVA |
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