| 多元混合分布的EWMA控制图的平均链长 |
| |
| 引用本文： | 殷建军,项祖丰,叶力. 多元混合分布的EWMA控制图的平均链长[J]. 浙江工业大学学报, 2006, 34(1): 65-68 |
| |
| 作者姓名： | 殷建军 项祖丰 叶力 |
| |
| 作者单位： | 浙江工业大学,机电工程学院,浙江,杭州,310032 |
| |
| 摘 要： | 指数加权滑动平均控制图（EWMA）由于对过程微小波动比Shewhart控制图敏感而备受质量控制界的关注．在研究混合分布的均值、方差和密度函数的基础上，推导了基于混合分布样本空间S的EWMA控制图平均运行链长（ARL）公式；应用数值计算方法得到了ARL值。讨论了区间等份m对EWMA控制图ARL的影响，并用统计仿真手段对多元混合分布的EWMA控制图ARL公式进行了验证．最后论述了利用混合样本空间及其EWMA控制图的ARL值来扩大控制图样本的方法．
|
| 关 键 词： | EWMA控制图 混合分布 |
| 文章编号： | 1006-4303(2006)01-0065-04 |
| 收稿时间： | 2005-04-20 |
| 修稿时间： | 2005-04-20 |
The ARL of EWMA control chart based on the multi-mixture distribution |
| |
| YIN Jian-jun,XIANG Zhu-feng,YE Li. The ARL of EWMA control chart based on the multi-mixture distribution[J]. Journal of Zhejiang University of Technology, 2006, 34(1): 65-68 |
| |
| Authors: | YIN Jian-jun XIANG Zhu-feng YE Li |
| |
| Affiliation: | College of Mechanical Engineering, Zhejiang University of Technology, Hangzhou 310032, China |
| |
| Abstract: | EWMA(Exponentially Weighted Moving Average) control chart is regarded as the one of the most important tools in the field of quality control(QC),for it is more sensitive than the Shewhart control chart in processing tiny wave.Researching on the means,variance and distributing function of mixture distribution,the formula for the ARL of EWMA in the mixture distribution sample space S is given.In the formula,the value of ARL is obtained through numerical method.The influence of the number of interzone parts m in ARL of EWMA is discussed too.The formula for the ARL of multi-mixture distribution EWMA is verified with statistical simulation.Finally,the method of enlarging samples using mixture sample space and ARL of EWMA is proposed and discussed. |
| |
| Keywords: | ARL |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
