Double sampling |S| control chart with variable sample size and variable sampling interval

被引：14
|
作者：
Lee, Ming Ha [1 ]
Khoo, Michael B. C. [2 ]
机构：
[1] Swinburne Univ Technol, Fac Engn Comp & Sci, Sarawak Campus, Kuching 93350, Sarawak, Malaysia
[2] Univ Sains Malaysia, Sch Math Sci, George Town, Malaysia
来源：
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION | 2018年 / 47卷 / 02期
关键词：
Average time to signal; Double sampling; Sample generalized variance; Variable sample size; Variable sampling interval; MONITORING PROCESS VARIABILITY; MULTIVARIATE CONTROL CHART; MEDIAN RUN-LENGTH; (X)OVER-BAR CHART; ESTIMATED PARAMETERS; OPTIMAL DESIGNS; SCHEME; VARIANCE;
D O I：
10.1080/03610918.2017.1288246
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
This study presents a control chart for monitoring shifts in the covariance matrix of a multivariate normally distributed process. This chart combines the double sampling, variable sample size and variable sampling interval features, and is called the DSVSSI |S| chart. A Markov chain approach is developed to design the DSVSSI |S| chart, by minimizing the average time to signal (ATS), for a specified shift size in the covariance matrix. The DSVSSI |S| chart has a better ATS performance compared to other existing charts. An example is given to illustrate the operation of the DSVSSI |S| chart.
引用
收藏
页码：615 / 628
页数：14
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