一种基于辅助信息的新型位置监测累积和中值控制图

Shahid HUSSAIN; 宋立新; Shabbir AHMAD; Muhammad RIAZ

doi:10.1631/FITEE.1700428

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一种基于辅助信息的新型位置监测累积和中值控制图

常规文章 | Updated：2022-05-19

- 一种基于辅助信息的新型位置监测累积和中值控制图
- A new auxiliary information based cumulative sum median control chart for location monitoring
- 信息与电子工程前沿（英文） 2019年20卷第4期页码：554-570
- Affiliations：
  
  School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China
  Department of Mathematics, COMSATS Institute of Information Technology, Attock 43600, Pakistan
  Department of Mathematics, COMSATS Institute of Information Technology, Wah Cantt 47040, Pakistan
  Department of Mathematics and Statistics, King Fahad University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
- Author bio：
  
  Shahid HUSSAIN, E-mail: shahid_libra82@hotmail.com
- Funds：
  
  Project supported by the National Natural Science Foundation of China (Nos. 11371077 and 11471065) and the Fundamental Research Funds for the Central Universities, China (No. DUT15LK28)
- DOI：10.1631/FITEE.1700428
  中图分类号： O213.1
- 收稿：2017-06-28，
  
  修回：2019-;4-11，
  
  纸质出版：2019-04
- Accepted：
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Shahid HUSSAIN, 宋立新, Shabbir AHMAD, 等. 一种基于辅助信息的新型位置监测累积和中值控制图[J]. 信息与电子工程前沿（英文）, 2019,20(4):554-570.

Shahid HUSSAIN, Li-xin SONG, Shabbir AHMAD, et al. A new auxiliary information based cumulative sum median control chart for location monitoring[J]. Frontiers of Information Technology & Electronic Engineering, 2019, 20(4): 554-570.
Shahid HUSSAIN, 宋立新, Shabbir AHMAD, 等. 一种基于辅助信息的新型位置监测累积和中值控制图[J]. 信息与电子工程前沿（英文）, 2019,20(4):554-570. DOI： 10.1631/FITEE.1700428.

Shahid HUSSAIN, Li-xin SONG, Shabbir AHMAD, et al. A new auxiliary information based cumulative sum median control chart for location monitoring[J]. Frontiers of Information Technology & Electronic Engineering, 2019, 20(4): 554-570. DOI： 10.1631/FITEE.1700428.

摘要

控制图能检测过程参数变化，是统计过程控制常用工具。休哈特控制图能有效监测大位移，而累积和（CUSUM）控制图能有效监测中、小位移。控制图在使用时通常假定数据无异常值，并且参数已知或已正确估计。实际应用中，某些过程偶尔出现异常值，所以这些假设通常不成立。位置参数监测通常基于均值控制图，严重受不成立假设影响。本文提出几种基于辅助变量的累积和中值控制图，并与其相对应均值控制图进行比较。为监测位置参数，分别检测包含与不含异常值时均值和中值控制图性能。研究对称与非对称过程，并利用累积和控制图监测位置参数，进一步研究所提控制图性能。基于不同运行链长，研究受控和非受控累积和控制图性能。结果表明，存在异常值时，所提控制图比传统控制图性能更优。最后，提供了一个基于混凝土抗压强度与生产质量关系的应用实例。

Abstract

Control charts are commonly used tools in statistical process control for the detection of shifts in process parameters. Shewhart-type charts are efficient for large shift values

whereas cumulative sum (CUSUM) charts are effective in detecting medium and small shifts. Control chart use commonly assumes that data are free of outliers and parameters are known or correctly estimated based on an in-control process. In practice

these assumptions are not often true because some processes occasionally have outliers. Monitoring the location parameter is usually based on mean charts

which are seriously affected by violations of these assumptions. In this paper we propose several CUSUM median control charts based on auxiliary variables

and offer comparisons with their corresponding mean control charts. To monitor the location parameter

we examined the performance of mean and median control charts in the presence and absence of outliers. Both symmetric and non-symmetric processes were studied to examine the properties of the proposed control charts to monitor the location parameter using CUSUM control charts. We used different run length measures to study in-control and out-of-control performances of CUSUM charts. Results revealed that our proposed control charts perform much better than the traditional charts in the presence of outliers. A real application of our study was provided using data on concrete compressive strength as it relates to the quality of cement manufacturing.

关键词

Keywords

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