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The revised m-of-k runs rule based on median run length.

หน่วยงาน Nanyang Technological University, Singapore

รายละเอียด

ชื่อเรื่อง : The revised m-of-k runs rule based on median run length.
นักวิจัย : Low, Chun Kit. , Khoo, Michael B. C. , Teoh, Wei Lin. , Wu, Zhang.
คำค้น : -
หน่วยงาน : Nanyang Technological University, Singapore
ผู้ร่วมงาน : -
ปีพิมพ์ : 2555
อ้างอิง : Low, C. K., Khoo, M. B. C., Teoh, W. L.,& Wu, Z. (2012). The Revised m-of-k Runs Rule Based on Median Run Length. Communications in Statistics - Simulation and Computation, 41(8), 1463-1477. , http://hdl.handle.net/10220/13057 , http://dx.doi.org/10.1080/03610918.2011.606950
ที่มา : -
ความเชี่ยวชาญ : -
ความสัมพันธ์ : Communications in statistics - simulation and computation
ขอบเขตของเนื้อหา : -
บทคัดย่อ/คำอธิบาย :

Runs rules are used to increase the sensitivity of the Shewhart X control chart in detecting small and moderate process mean shifts. Most of the X charts incorporating runs rules are designed based on the average run length (ARL). It is known that the shape of the run length distribution changes according to the magnitude of the shift in the process mean, ranging from highly skewed when the process is in-control to approximately symmetric when the shift is large. Since the shape of the run length distribution changes with the magnitude of the shift in the mean, the median run length (MRL) provides a more meaningful explanation about the in-control and out-of-control performances of a control chart. In this article, we propose the design of the revised m-of-k runs rule based on MRL. In addition, the standard deviation of the run length (SDRL) of the revised m-of-k rule will also be studied. The revised m-of-k runs rule, suggested by Antzoulakos and Rakitzis (2008), was originally designed based on ARL. The Markov chain technique is employed to obtain the MRLs. Compared with the standard X chart, the MRL results show that the revised rules give better performances for small and moderate mean shifts, while maintaining the same sensitivity towards large mean shifts. The MRL results are in accordance with the results obtained by Antzoulakos and Rakitzis (2008), where the rules are designed based on ARL.

บรรณานุกรม :
Low, Chun Kit. , Khoo, Michael B. C. , Teoh, Wei Lin. , Wu, Zhang. . (2555). The revised m-of-k runs rule based on median run length..
    กรุงเทพมหานคร : Nanyang Technological University, Singapore.
Low, Chun Kit. , Khoo, Michael B. C. , Teoh, Wei Lin. , Wu, Zhang. . 2555. "The revised m-of-k runs rule based on median run length.".
    กรุงเทพมหานคร : Nanyang Technological University, Singapore.
Low, Chun Kit. , Khoo, Michael B. C. , Teoh, Wei Lin. , Wu, Zhang. . "The revised m-of-k runs rule based on median run length.."
    กรุงเทพมหานคร : Nanyang Technological University, Singapore, 2555. Print.
Low, Chun Kit. , Khoo, Michael B. C. , Teoh, Wei Lin. , Wu, Zhang. . The revised m-of-k runs rule based on median run length.. กรุงเทพมหานคร : Nanyang Technological University, Singapore; 2555.