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Original Articles

Evaluation of the Run-Length Probability Distribution for CUSUM Charts: Assessing Chart Performance

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Pages 411-416 | Published online: 12 Mar 2012

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Read on this site (14)

Nesma A. Saleh, Inez M. Zwetsloot, Mahmoud A. Mahmoud & William H. Woodall. (2016) CUSUM charts with controlled conditional performance under estimated parameters. Quality Engineering 28:4, pages 402-415.
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Wenpo Huang, Lianjie Shu, William H. Woodall & Kwok-Leung Tsui. (2016) CUSUM procedures with probability control limits for monitoring processes with variable sample sizes. IIE Transactions 48:8, pages 759-771.
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Wenpo Huang, Lianjie Shu, Junjie Cao & Kwok-Leung Tsui. (2016) Probability distribution of CUSUM charting statistics. IIE Transactions 48:4, pages 324-332.
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Wenpo Huang, Lianjie Shu & Wei Jiang. (2016) A Gradient Approach to the Optimal Design of CUSUM Charts Under Unknown Mean-Shift Sizes. Journal of Quality Technology 48:1, pages 68-83.
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Sven Knoth. (2015) Run length quantiles of EWMA control charts monitoring normal mean or/and variance. International Journal of Production Research 53:15, pages 4629-4647.
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Zhonghua Li, Changliang Zou, Zhen Gong & Zhaojun Wang. (2014) The computation of average run length and average time to signal: an overview. Journal of Statistical Computation and Simulation 84:8, pages 1779-1802.
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Wenpo Huang, Lianjie Shu, Wei Jiang & Kwok-Leung Tsui. (2013) Evaluation of run-length distribution for CUSUM charts under gamma distributions. IIE Transactions 45:9, pages 981-994.
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Lianjie Shu, Wenpo Huang, Yan Su & Kwok-Leung Tsui. (2013) Computation of the run-length percentiles of CUSUM control charts under changes in variances. Journal of Statistical Computation and Simulation 83:7, pages 1238-1251.
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Francisco Aparisi & MarcoA. de Luna. (2009) The Design and Performance of the Multivariate Synthetic-T 2 Control Chart. Communications in Statistics - Theory and Methods 38:2, pages 173-192.
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Manuel Cabral Morais & António Pacheco. (2006) Assessing the Impact of Head Starts in the Performance of One-Sided Markov-Type Control Schemes. Sequential Analysis 25:4, pages 405-420.
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PaulF. Zantek, GordonP. Wright & RobertD. Plante. (2006) A self-starting procedure for monitoring process quality in multistage manufacturing systems. IIE Transactions 38:4, pages 293-308.
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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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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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Articles from other publishers (4)

Wilasinee Peerajit. An integral equation approach for average run length of incorporation of exogenous variable in seasonal autoregressive fractionally integrated model. An integral equation approach for average run length of incorporation of exogenous variable in seasonal autoregressive fractionally integrated model.
Panpan Zhou, Wei Wang, Dennis K. J. Lin & Yang Liu. (2023) A novel criterion based on continuous ranked probability score for performance evaluation of control charts. Quality and Reliability Engineering International.
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Carlos Murguia & Justin Ruths. (2019) On model‐based detectors for linear time‐invariant stochastic systems under sensor attacks. IET Control Theory & Applications 13:8, pages 1051-1061.
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George E. P. Box, Alberto Luceño & María Del Carmen Paniagua‐Quiñones. 2009. Statistical Control by Monitoring and Adjustment. Statistical Control by Monitoring and Adjustment 307 320 .

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