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Journal of Quality Technology
A Quarterly Journal of Methods, Applications and Related Topics
Volume 25, 1993 - Issue 3
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Computer Programs

The Run Length Distribution of a Cumulative Sum Control Chart

F. F. GanNational University of Singapore, Singapore0511View further author information
Pages 205-207 | Published online: 21 Feb 2018

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Michael Pokojovy & J. Marcus Jobe. (2022) Univariate fast initial response statistical process control with taut strings. Journal of Applied Statistics 49:9, pages 2326-2348.
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Ming Ha Lee & Michael B. C. Khoo. (2017) Optimal design of synthetic np control chart based on median run length. Communications in Statistics - Theory and Methods 46:17, pages 8544-8556.
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Ming Ha Lee & Michael B. C. Khoo. (2017) Optimal designs of multivariate synthetic |S| control chart based on median run length. Communications in Statistics - Theory and Methods 46:6, pages 3034-3053.
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Nan Chen, Zhonghua Li & Yanjing Ou. (2015) Multivariate Exponentially Weighted Moving-Average Chart for Monitoring Poisson Observations. Journal of Quality Technology 47:3, pages 252-263.
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Michael B. C. Khoo, V.H. Wong, Zhang Wu & Philippe Castagliola. (2012) Optimal design of the synthetic chart for the process mean based on median run length. IIE Transactions 44:9, pages 765-779.
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Chun Kit Low, MichaelB. C. Khoo, Wei Lin Teoh & Zhang Wu. (2012) The Revised m-of-k Runs Rule Based on Median Run Length. Communications in Statistics - Simulation and Computation 41:8, pages 1463-1477.
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M. H. Lee & MichaelB. C. Khoo. (2006) Optimal Statistical Design of a Multivariate EWMA Chart Based on ARL and MRL. Communications in Statistics - Simulation and Computation 35:3, pages 831-847.
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Alberto Luceño & Jaime Puig-Pey. (2006) The random intrinsic fast initial response of one-sided CUSUM charts. Journal of Applied Statistics 33:2, pages 189-201.
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Darrell Radson & AmyHancock Boyd. (2005) Graphical Representation of Run Length Distributions. Quality Engineering 17:2, pages 301-308.
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L. Allison Jones, Charles W. Champ & Steven E. Rigdon. (2004) The Run Length Distribution of the CUSUM with Estimated Parameters. Journal of Quality Technology 36:1, pages 95-108.
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Alberto Luceño & Jaime Puig-Pey. (2002) Computing the Run Length Probability Distribution for CUSUM Charts. Journal of Quality Technology 34:2, pages 209-215.
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V. Carot, J. M. Jabaloyes & T. Carot. (2002) Combined double sampling and variable sampling interval X chart. International Journal of Production Research 40:9, pages 2175-2186.
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Joseph J. Pignatiello$suffix/text()$suffix/text() & Thomas R. Samuel. (2001) Estimation of the Change Point of a Normal Process Mean in SPC Applications. Journal of Quality Technology 33:1, pages 82-95.
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Alberto Luceño & Jaime Puig-Pey. (2000) Evaluation of the Run-Length Probability Distribution for CUSUM Charts: Assessing Chart Performance. Technometrics 42:4, pages 411-416.
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DANIELW. APLEY & JIANJUN SHI. (1999) The GLRT for statistical process control of autocorrelated processes. IIE Transactions 31:12, pages 1123-1134.
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Joseph T. Chang & Ronald D. Fricker$suffix/text()$suffix/text(). (1999) Detecting When a Monotonically Increasing Mean Has Crossed a Threshold. Journal of Quality Technology 31:2, pages 217-234.
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Articles from other publishers (10)

Moi Hua Tuh, Cynthia Mui Lian Kon, Hong Siang Chua, Man Fai Lau & Yee Hui Robin Chang. (2023) Evaluating the Performance of Synthetic Double Sampling np Chart Based on Expected Median Run Length. Mathematics 11:3, pages 595.
Crossref
Fah Fatt Gan. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online 1 7 .
Michael B. C. Khoo, V. H. Wong, Zhang Wu & Philippe Castagliola. (2011) Optimal designs of the multivariate synthetic chart for monitoring the process mean vector based on median run length. Quality and Reliability Engineering International 27:8, pages 981-997.
Crossref
Smiley W. Cheng & Keoagile Thaga. 2010. Frontiers in Statistical Quality Control 9. Frontiers in Statistical Quality Control 9 85 98 .
Benoit Mesnil & Pierre Petitgas. (2009) Detection of changes in time-series of indicators using CUSUM control charts. Aquatic Living Resources 22:2, pages 187-192.
Crossref
Alberto Luceno & Antonio S. Cofiño. (2006) The random intrinsic fast initial response of two-sided CUSUM charts. Test 15:2, pages 505-524.
Crossref
Alberto Luceño. 2003. Statistics in Industry. Statistics in Industry 695 727 .
Joseph J. PignatielloJrJr & James R. Simpson. (2002) A magnitude‐robust control chart for monitoring and estimating step changes for normal process means. Quality and Reliability Engineering International 18:6, pages 429-441.
Crossref
Alberto Luceño & Jaime Puig-Pey. (2002) An accurate algorithm to compute the run length probability distribution, and its convolutions, for a Cusum chart to control normal mean. Computational Statistics & Data Analysis 38:3, pages 249-261.
Crossref
Douglas M. Hawkins & David H. OlwellDouglas M. Hawkins & David H. Olwell. 1998. Cumulative Sum Charts and Charting for Quality Improvement. Cumulative Sum Charts and Charting for Quality Improvement 231 242 .

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