Individuals control schemes for monitoring the mean and variance of processes subject to drifts

Stochastic Analysis and Applications

Volumn 19, Issue 5, 2001, Pages 863-892

  Reynolds Jr , Marion R ^a   Stoumbos, Zachary G ^b  

^a VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

^b RUTGERS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035628146     PISSN: 07362994     EISSN: None     Source Type: Journal    
DOI: 10.1081/SAP-120000226     Document Type: Article

References (35)

1. Gibbons, R.D. Statistical Methods for Groundwater Monitoring; Wiley: New York, 1994.
2. Lai, T.L. Sequential changepoint detection in quality control and dynamical systems (with discussion). Journal of the Royal Statistical Society, Ser. B 1995, 57, 613-658.
3. Montgomery, D.C. Introduction to Statistical Quality Control; third edition; Wiley: New York, 1997.
4. Ryan, T.P. Statistical Methods for Quality Improvement; second edition; Wiley: New York, 2000.
5. Shewhart, W.A. Economic Control of Quality of Manufactured Product; Van Nostrand: New York, 1931.
6. Roberts, S.W. Control charts based on geometric moving averages. Technometrics 1959, 1, 239-250.
7. Page, E.S. Continuous inspection schemes. Biometrika 1954, 41, 100-114.
8. Reynolds, M.R., Jr. and Z. G. Stoumbos. Monitoring the process mean and variance using individual observations and variable sampling intervals. To appear in the Journal of Quality Technology 33, 2001.
9. Stoumbos, Z.G.; Reynolds, M.R., Jr. Robustness to non-normality and autocorrelation of individuals control charts. Journal of Statistical Computation and Simulation, Special Issue on Statistics: Modeling of Processes in Science and Industry 2000, 66, 145-187.
10. Davis, R.B.; Woodall, W.H. Performance of the control chart trend rule under linear shift. Journal of Quality Technology 1988, 20, 260-262.
11. Gan, F.F. EWMA control chart under linear drift. Journal of Statistical Computation and Simulation 1991, 38, 181-200.
12. Aerne, L.A.; Champ, C. W.; Rigdon, S.E. Evaluation of control charts under linear trend. Communications in Statistics-Theory and Methods 1991, 20, 3341-3349.
13. Nelson, L.S. Control charts for individual measurements. Journal of Quality Technology 1982, 14, 172-173.
14. Roes, K.C.B.; Does, R.J.M.M.; Schurink, Y. Shewhart-type control charts for irdividual observations. Journal of Quality Technology 1993, 25, 188-198.
15. Rigdon, S.E.; Cruthis, E.N.; Champ, C.W. Design strategies for individuals and proving range control charts. Journal of Quality Technology 1994, 26, 274-287.
16. Albin, S.L.; Kang, L.; Shea, G. An X and EWMA chart for individual observations. Journal of Quality Technology 1997, 29, 41-48.
17. Amin R.W.; Ethridge, R.A. A note on individual and moving range control charts. Journal of Quality Technology 1998, 30, 70-74.
18. Lucas, J.M.; Saccucci, M.S. Exponentially weighted moving average control schemes: properties and enhancements. Technometrics 1990, 32, 1-12.
19. Domangue, R.; Patch, S.C. Some omnibus exponentially weighted moving average statistical process monitoring schemes. Technometrics 1991, 33, 299-313.
20. Shamma, S.E.; Amin, R.W. An EWMA quality control procedure for jointly monitoring the mean and variance. International Journal of Quality and Reliability Management 1993, 10, 58-67.
21. MacGregor, J.F.; Harris, T.J. The exponentially weighted moving variance. Journal of Quality Technology 1993, 25, 106-118.
22. Gan, F.F. Joint monitoring of process mean and variance using exponentially weighted moving average control charts. Technometrics 1995, 37, 446-453.
23. Yashchin, E. Statistical control schemes: methods, applications and generalizations. International Statistical Review 1993, 61, 41-66.
24. Reynolds, M.R., Jr. Evaluating properties of variable sampling interval control charts. Sequential Analysis 1995, 14, 59-97.
25. Stoumbos, Z.G.; Reynolds, M.R., Jr. Control charts applying a general sequential test at each sampling point. Sequential Analysis 1996, 15, 159-183.
26. Z. G. Stoumbos, J. Mittenthal, G. C. Runger. Steady-state-optimal adaptive control charts based on variable sampling intervals. To appear in Stochastic Analysis and Applications, 2001.
27. Reynolds, M.R., Jr. Variable sampling interval control charts with sampling at fixed times. IIE Transactions 1996, 28, 497-510.
28. Stoumbos, Z.G.; Reynolds, M.R., Jr. Control charts applying a sequential test at fixed sampling intervals. Journal of Quality Technology 1997, 29, 21-40.
29. Z. G. Stoumbos and M. R. Reynolds, Jr. The SPRT control chart for the process mean with samples starting at fixed times. To appear in Nonlinear Analysis, 2001.
30. M. R. Reynolds, Jr. and J. C. Arnold. EWMA control charts with variable sample sizes and variable sampling intervals. To appear in IIE Transactions on Quality and Reliability Engineering, 2001.
31. Stoumbos, Z.G.; Reynolds, M.R., Jr.; Ryan, T.P., Jr.; Woodall, W.H., Jr. The state of statistical process control as we proceed into the 21st century. Journal of the American Statistical Association 2000, 95, 992-998.
32. Woodall, W.H.; Montgomery, D.C. Research issues and ideas in statistical process control. Journal of Quality Technology 1999, 31, 376-386.
33. Chengular, I.N.; Arnold, J.C.; Reynolds, M.R., Jr. Variable sampling intervals for multiparameter Shewhart charts. Communications in Statistics-Theory and Methods 1993, 18, 1769-1792.
34. Reynolds, M.R., Jr. Optimal variable sampling interval control charts. Sequential Analysis 1989, 8, 361-379.
35. Baxley, R. V., Jr. An application of variable sampling interval control charts. Journal of Quality Technology 1995, 27, 275-282.