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CLC number: O213.1

On-line Access: 2019-05-14

Received: 2017-06-28

Revision Accepted: 2017-09-15

Crosschecked: 2019-04-11

Cited: 0

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Citations:  Bibtex RefMan EndNote GB/T7714


Shahid Hussain


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Frontiers of Information Technology & Electronic Engineering  2019 Vol.20 No.4 P.554-570


A new auxiliary information based cumulative sum median control chart for location monitoring

Author(s):  Shahid Hussain, Li-xin Song, Shabbir Ahmad, Muhammad Riaz

Affiliation(s):  School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China; more

Corresponding email(s):   shahid_libra82@hotmail.com

Key Words:  Average run length, Auxiliary information, CUSUM control charts, Location parameter, Median control charts

Shahid Hussain, Li-xin Song, Shabbir Ahmad, Muhammad Riaz. 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.

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DOI - 10.1631/FITEE.1700428

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.




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