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Sequential Analysis
Design Methods and Applications
Volume 14, 1995 - Issue 1
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Original Articles

Evaluating properties of variable sampling interval control charts

Pages 59-97 | Published online: 29 Mar 2007

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Daniel Ashagrie Tegegne, Daniel Kitaw & Eshetie Berhan. (2022) Advances in statistical quality control chart techniques and their limitations to cement industry. Cogent Engineering 9:1.
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Saddam Akber Abbasi, Qurat-Ul-Ain Khaliq, M. Hafidz Omar & Muhammad Riaz. (2020) On designing a sequential based EWMA structure for efficient process monitoring. Journal of Taibah University for Science 14:1, pages 177-191.
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Ming Ha Lee & Michael B. C. Khoo. (2015) Multivariate Synthetic |S| Control Chart with Variable Sampling Interval. Communications in Statistics - Simulation and Computation 44:4, pages 924-942.
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Rassoul Noorossana, Maryam Shekary A & Ali Deheshvar. (2015) Combined Variable Sample Size, Sampling Interval, and Double Sampling (CVSSIDS) Adaptive Control Charts. Communications in Statistics - Theory and Methods 44:6, pages 1255-1269.
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Athanasios C. Rakitzis & Demetrios L. Antzoulakos. (2014) Control charts with switching and sensitizing runs rules for monitoring process variation. Journal of Statistical Computation and Simulation 84:1, pages 37-56.
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ShashibhushanB. Mahadik. (2012) Exact Results for Variable Sampling Interval Shewhart Control Charts with Runs Rules for Switching Between Sampling Interval Lengths. Communications in Statistics - Theory and Methods 41:24, pages 4453-4469.
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Liaosa Xu, Sai Wang, Yiming Peng, J. P. Morgan, Marion R. Reynolds$suffix/text()$suffix/text() & William H. Woodall. (2012) The Monitoring of Linear Profiles with a GLR Control Chart. Journal of Quality Technology 44:4, pages 348-362.
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MarionR. Reynolds$suffix/text()$suffix/text() & Gyo-Young Cho. (2011) Multivariate Control Charts for Monitoring the Mean Vector and Covariance Matrix with Variable Sampling Intervals. Sequential Analysis 30:1, pages 1-40.
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ShashibhushanB. Mahadik & DigambarT. Shirke. (2009) A Special Variable Sample Size and Sampling Interval Chart. Communications in Statistics - Theory and Methods 38:8, pages 1284-1299.
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Lianjie Shu, Wei Jiang & Shujin Wu. (2007) A One-Sided EWMA Control Chart for Monitoring Process Means. Communications in Statistics - Simulation and Computation 36:4, pages 901-920.
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MarionR. Reynolds$suffix/text()$suffix/text() & Keunpyo Kim. (2007) Multivariate Control Charts for Monitoring the Process Mean and Variability Using Sequential Sampling. Sequential Analysis 26:3, pages 283-315.
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Shashibhushan B. Mahadik & Digambar T. Shirke. (2007) On the Superiority of a Variable Sampling Interval Control Chart. Journal of Applied Statistics 34:4, pages 443-458.
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Marion R Reynolds$suffix/text()$suffix/text() & Zachary G Stoumbos. (2006) Comparisons of Some Exponentially Weighted Moving Average Control Charts for Monitoring the Process Mean and Variance. Technometrics 48:4, pages 550-567.
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Marion R. Reynolds$suffix/text()$suffix/text() & Keunpyo Kim. (2005) Multivariate Monitoring of the Process Mean Vector with Sequential Sampling. Journal of Quality Technology 37:2, pages 149-162.
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Marion R Reynolds$suffix/text()$suffix/text() & Zachary G Stoumbos. (2004) Control Charts and the Efficient Allocation of Sampling Resources. Technometrics 46:2, pages 200-214.
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Sven Knoth. (2003) EWMA Schemes with Nonhomogeneous Transition Kernels. Sequential Analysis 22:3, pages 241-255.
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Marion R. Reynolds$suffix/text()$suffix/text() & Zachary G. Stoumbos. (2001) Individuals control schemes for monitoring the mean and variance of processes subject to drifts. Stochastic Analysis and Applications 19:5, pages 863-892.
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Chao-Wen Lu & Marion R. Reynolds$suffix/text()$suffix/text(). (2001) Cusum Charts for Monitoring an Autocorrelated Process. Journal of Quality Technology 33:3, pages 316-334.
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MARIONR. REYNOLDS$suffix/text()$suffix/text() & JESSEC. ARNOLD. (2001) EWMA control charts with variable sample sizes and variable sampling intervals. IIE Transactions 33:6, pages 511-530.
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Marion R. Reynolds$suffix/text()$suffix/text() & Zachary G. Stoumbos. (2001) Monitoring the Process Mean and Variance Using Individual Observations and Variable Sampling Intervals. Journal of Quality Technology 33:2, pages 181-205.
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Jesse C. Arnold & Marion R. Reynolds$suffix/text()$suffix/text(). (2001) CUSUM Control Charts with Variable Sample Sizes and Sampling Intervals. Journal of Quality Technology 33:1, pages 66-81.
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Changsoon Park & Marion R. Reynolds$suffix/text()$suffix/text(). (1999) Economic Design of a Variable Sampling Rate X̄ Chart. Journal of Quality Technology 31:4, pages 427-443.
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George Tagaras. (1998) A Survey of Recent Developments in the Design of Adaptive Control Charts. Journal of Quality Technology 30:3, pages 212-231.
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Lewis N. Vanbrackle$suffix/text()$suffix/text() & Marion R Reynolds$suffix/text()$suffix/text(). (1997) EVVMA and cusum control charts in the presence of correlation. Communications in Statistics - Simulation and Computation 26:3, pages 979-1008.
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Zachary G. Stoumbos & Marion R. Reynolds$suffix/text()$suffix/text(). (1997) Control Charts Applying a Sequential Test at Fixed Sampling Intervals. Journal of Quality Technology 29:1, pages 21-40.
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MARIONR. REYNOLDS$suffix/text()$suffix/text(). (1996) Variable-sampling-interval control charts with sampling at fixed times. IIE Transactions 28:6, pages 497-510.
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Marion R. Reynolds$suffix/text()$suffix/text(). (1996) Shewhart and EWMA Variable Sampling Interval Control Charts with Sampling at Fixed Times. Journal of Quality Technology 28:2, pages 199-212.
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Zachary G. Stoumbos & Marion R. Reynolds$suffix/text()$suffix/text(). (1996) Control charts applying a general sequential test at each sampling point. Sequential Analysis 15:2-3, pages 159-183.
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Marion R. Reynolds$suffix/text()$suffix/text(), Jesse C. Arnold & Jai Wook Baik. (1996) Variable Sampling Interval X̄ Charts in the Presence of Correlation. Journal of Quality Technology 28:1, pages 12-30.
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Robert V. Baxley$suffix/text()$suffix/text(). (1995) An Application of Variable Sampling Interval Control Charts. Journal of Quality Technology 27:4, pages 275-282.
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Xianlin Ren, Yiduo Tian, Chengrui Han, Laixian Chen & Bao Liu. (2022) Research on the economic-statistical model of VSI control chart based on multiple mass variation factors. Research on the economic-statistical model of VSI control chart based on multiple mass variation factors.
Sani Salihu Abubakar, Michael B.C. Khoo, Sajal Saha & Ming Ha Lee. (2020) A new exponentially weighted moving average chart with an adaptive control scheme for high yield processes—An application in injection molding process. Quality and Reliability Engineering International 37:2, pages 527-540.
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Valery Y. Glizer & Vladimir Turetsky. 2020. Informatics in Control, Automation and Robotics. Informatics in Control, Automation and Robotics 26 50 .
Valery Y. Glizer & Vladimir Turetsky. (2019) Robust Optimization of Statistical Process Control. Robust Optimization of Statistical Process Control.
Theodoros Perdikis & Stelios Psarakis. (2019) A survey on multivariate adaptive control charts: Recent developments and extensions. Quality and Reliability Engineering International 35:5, pages 1342-1362.
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Mahfuza Khatun, Michael B.C. Khoo, W.C. Yeong, W.L. Teoh & Z.L. Chong. (2018) Adaptive multivariate double sampling and variable sampling interval Hotelling's T 2 charts . Quality and Reliability Engineering International 34:5, pages 894-911.
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Willy Ugaz, Ismael Sánchez & Andrés M. Alonso. (2017) Adaptive EWMA control charts with time-varying smoothing parameter. The International Journal of Advanced Manufacturing Technology 93:9-12, pages 3847-3858.
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M.L.I. Coelho, M.A. Graham & S. Chakraborti. (2017) Nonparametric signed-rank control charts with variable sampling intervals. Quality and Reliability Engineering International 33:8, pages 2181-2192.
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Anan Tang, Philippe Castagliola, Jinsheng Sun & XueLong Hu. (2017) An adaptive exponentially weighted moving average chart for the mean with variable sampling intervals. Quality and Reliability Engineering International 33:8, pages 2023-2034.
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X.Y. Chew, Michael B.C. Khoo, S.Y. Teh & P. Castagliola. (2015) The variable sampling interval run sum control chart . Computers & Industrial Engineering 90, pages 25-38.
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Hyeon Jin Gwon & Gyo-Young Cho. (2015) Switching properties of bivariate Shewhart control charts for monitoring the covariance matrix. Journal of the Korean Data and Information Science Society 26:6, pages 1593-1600.
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Duk-Joon Chang. (2015) Comparison of two sampling intervals and three sampling intervals VSI charts for monitoring both means and variances. Journal of the Korean Data and Information Science Society 26:4, pages 997-1006.
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Liaosa Xu, Yiming Peng & Marion R. ReynoldsJrJr. (2015) An Individuals Generalized Likelihood Ratio Control Chart for Monitoring Linear Profiles. Quality and Reliability Engineering International 31:4, pages 589-599.
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Lei Yong Lee, Michael Boon Chong Khoo, Sin Yin Teh & Ming Ha Lee. (2015) A Variable Sampling Interval Synthetic Xbar Chart for the Process Mean. PLOS ONE 10:5, pages e0126331.
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Yiming Peng, Liaosa Xu & Marion R. ReynoldsJr.Jr.. (2015) The Design of the Variable Sampling Interval Generalized Likelihood Ratio Chart for Monitoring the Process Mean. Quality and Reliability Engineering International 31:2, pages 291-296.
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Mohammad Saleh Owlia, Mohammad Saber Fallah Nezhad & Mohesn Sheikh Sajadieh. (2015) A new method for process control based on goodness of fit tests. International Journal of Quality & Reliability Management 32:2, pages 132-143.
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Valery Y. Glizer, Vladimir Turetsky & Emil Bashkansky. (2015) Statistical process control optimization with variable sampling interval and nonlinear expected loss. Journal of Industrial & Management Optimization 11:1, pages 105-133.
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Marion R. ReynoldsJr.Jr. & Zachary G. Stoumbos. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
Manuel do Carmo, Paulo Infante & Jorge M Mendes. (2014) A different and simple approach for comparing sampling methods in quality control. International Journal of Quality & Reliability Management 31:5, pages 478-499.
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Ming Ha Lee & Michael B. C. Khoo. (2013) Design of a multivariate exponentially weighted moving average control chart with variable sampling intervals. Computational Statistics 29:1-2, pages 189-214.
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Liaosa Xu, Sai Wang & Marion R. ReynoldsJrJr. (2013) A Generalized Likelihood Ratio Control Chart for Monitoring the Process Mean Subject to Linear Drifts. Quality and Reliability Engineering International 29:4, pages 545-553.
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Yan-Kwang Chen. (2013) Cumulative conformance count charts with variable sampling intervals for correlated samples. Computers & Industrial Engineering 64:1, pages 302-308.
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Sze Jeeu Fong, Sze San Nah & Pooi Ah Hin. (2012) New control chart for multivariate process. New control chart for multivariate process.
Thomas P. Ryan. 2011. Statistical Methods for Quality Improvement. Statistical Methods for Quality Improvement 353 384 .
Yan-Kwang Chen, Chien-Yue Chen & Kuo-Ching Chiou. (2011) Cumulative conformance count chart with variable sampling intervals and control limits. Applied Stochastic Models in Business and Industry 27:4, pages 410-420.
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Shashibhushan B. Mahadik & Digambar T. Shirke. (2010) A special variable sample size and sampling interval Hotelling’s T 2 chart. The International Journal of Advanced Manufacturing Technology 53:1-4, pages 379-384.
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James J. Cochran, Louis A. CoxJr.Jr., Pinar Keskinocak, Jeffrey P. Kharoufeh & J. Cole SmithFlavio Sanson Fogliatto & Michel J. Anzanello. 2011. Wiley Encyclopedia of Operations Research and Management Science. Wiley Encyclopedia of Operations Research and Management Science.
Eugenio K. Epprecht, Bruno F. T. Simões & Flávia C. T. Mendes. (2009) A variable sampling interval EWMA chart for attributes. The International Journal of Advanced Manufacturing Technology 49:1-4, pages 281-292.
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Su‐Fen Yang & Yi‐Ning Yu. (2009) Monitoring cascade processes using VSI EWMA control charts. Journal of Chemometrics 23:9, pages 449-462.
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Yunzhao Luo, Zhonghua Li & Zhaojun Wang. (2009) Adaptive CUSUM control chart with variable sampling intervals. Computational Statistics & Data Analysis 53:7, pages 2693-2701.
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M. H. Lee. (2009) Multivariate EWMA Charts with Variable Sampling Intervals. Economic Quality Control 24:2.
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Su-Fen Yang & Yi-Ning Yu. (2009) Using VSI EWMA charts to monitor dependent process steps with incorrect adjustment. Expert Systems with Applications 36:1, pages 442-454.
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Willis A. Jensen, G. Rex Bryce & Marion R. ReynoldsJrJr. (2008) Design issues for adaptive control charts. Quality and Reliability Engineering International 24:4, pages 429-445.
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Marion R. ReynoldsJr.Jr. & Zachary G. Stoumbos. 2007. Encyclopedia of Statistics in Quality and Reliability. Encyclopedia of Statistics in Quality and Reliability.
Sven Knoth. (2006) Computation of the ARL for CUSUM- schemes. Computational Statistics & Data Analysis 51:2, pages 499-512.
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Philippe Castagliola, Giovanni Celano & Sergio Fichera. 2006. Springer Handbook of Engineering Statistics. Springer Handbook of Engineering Statistics 291 325 .
Marion R. ReynoldsJr.Jr. & Zachary G. Stoumbos. 2006. Frontiers in Statistical Quality Control 8. Frontiers in Statistical Quality Control 8 172 184 .
Zachary G. Stoumbos & Marion R. Reynolds Jr.. (2005) Economic statistical design of adaptive control schemes for monitoring the mean and variance: An application to analyzers. Nonlinear Analysis: Real World Applications 6:5, pages 817-844.
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Eugenio Kahn Epprecht, Antonio Fernando Branco Costa & Flávia Cesar Teixeira Mendes. (2005) Gráficos adaptativos de controle por atributos e seu projeto na prática. Pesquisa Operacional 25:1, pages 113-134.
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Dong Han & Fugee Tsung. (2004) A generalized EWMA control chart and its comparison with the optimal EWMA, CUSUM and GLR schemes. The Annals of Statistics 32:1.
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Zachary G. Stoumbos & Marion R. ReynoldsJr.Jr.. 2004. Frontiers in Statistical Quality Control 7. Frontiers in Statistical Quality Control 7 79 100 .
Zachary G. Stoumbos, Marion R. ReynoldsJr.Jr. & William H. Woodall. 2003. Statistics in Industry. Statistics in Industry 553 571 .
Renato Michel & Flávio S. Fogliatto. (2002) Projeto econômico de cartas adaptativas para monitoramento de processos. Gestão & Produção 9:1, pages 17-31.
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D.S. Bai & K.T. Lee. (2002) Variable sampling interval X̄ control charts with an improved switching rule. International Journal of Production Economics 76:2, pages 189-199.
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Zachary G. Stoumbos & Marion R. ReynoldsJr.Jr.. (2001) The SPRT control chart for the process mean with samples starting at fixed times. Nonlinear Analysis: Real World Applications 2:1, pages 1-34.
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Antonio F. B. Costa & M. A. Rahim. (2000) Economic design of ?? andR charts under Weibull shock models. Quality and Reliability Engineering International 16:2, pages 143-156.
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Zachary G. Stoumbos & Marion R. ReynoldsJr.Jr.. (1997) Corrected diffusion theory approximations in evaluating properties of SPRT charts for monitoring a process mean. Nonlinear Analysis: Theory, Methods & Applications 30:7, pages 3987-3996.
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