Joint estimation: SPC method for short-run autocorrelated data

Journal of Quality Technology

Volumn 33, Issue 3, 2001, Pages 365-378

  Wright, C M ^a   Booth, D E ^b   Hu, M Y ^b  

^a WESTERN CAROLINA UNIVERSITY   (United States)

^b KENT STATE UNIVERSITY   (United States)

Author keywords

Autocorrelated observations; Statistical process control

Indexed keywords

COMPUTER SIMULATION; CORRELATION METHODS; ESTIMATION; MATHEMATICAL MODELS; TIME SERIES ANALYSIS;

AUTOCORRELATED DATA; JOINT ESTIMATION;

STATISTICAL PROCESS CONTROL;

EID: 0038253690     PISSN: 00224065     EISSN: None     Source Type: Journal    
DOI: 10.1080/00224065.2001.11980086     Document Type: Article

References (48)

1. Alwan, L. C. (1991). "Autocorrelation: Fixed Versus Variable Control Limits". Quality Engineering 4, pp. 167-188.
2. Alwan, L. C. (1992). "Effects of Autocorrelation on Control Chart Performance". Communications in Statistics - Theory and Methods 21, pp. 1025-1049.
3. Alwan, L. C. and Radson, D. (1992). "Time-Series Investigation of Subsample Mean Charts". IIE Transactions 24, pp. 66-80.
4. Alwan, L. C. and Roberts, H. V. (1988). "Time Series Modeling for Statistical Process Control". Journal of Business and Economic Statistics 6, pp. 87-95.
5. Baxley, R. V. (1990). Comment on "EWMA Control Schemes: Properties and Enhancements". Technometrics 32, pp. 13-16.
6. Berthouex, P. M.; Hunter W. G.; and Pallesen, L. (1978). "Monitoring Sewage Treatment Plants: Some Quality Control Aspects". Journal of Quality Technology 10, pp. 139-149.
7. Booth, D. E. and Isenhour, T. L. (1985). "A Method for Early Discovery of Poisoning in Catalytic Chemical Processes". Journal of Chemical Information and Computer Sciences 25, pp. 81-84.
8. Box, G. E. P.; Jenkins, G. M.; Reinsel, G. C.; and Jenkins, G. (1994). Time Series Analysis: Forecasting and Control. Prentice Hall, Englewood Cliffs, NJ.
9. Chen, C. and Liu, L. (1993a). "Joint Estimation of Model Parameters and Outlier Effects in Time-Series". Journal of the American Statistical Association 88, pp. 284-297.
10. Chen, C. and Liu, L. (1993b). "Forecasting Time-series with Outliers". Journal of Forecasting 12, pp. 13-35.
11. Crowder, S. V. (1992). "An SPC Model for Short Production Runs: Minimizing Expected Cost". Technometrics 34, pp. 64-73.
12. Del Castillo, E. (1996). "A Multivariate Self-Tuning Controller for Run-to-Run Process Control under Shift and Trend Disturbances". IIE Transactions 28, pp. 1011-1021.
13. Del Castillo, E. and Montgomery, D. C. (1996). "A General Model for the Optimal Economic Design of X̄ Charts used to Control Short or Long-run Processes". IIE Transactions 28, pp. 193-201.
14. Denby, L. and Martin, R. D. (1979). "Robust Estimation of the First-Order Autoregressive Parameter". Journal of the American Statistical Association, 74, pp. 140-146.
15. Ermer, D. S.; Chow, M. C.; and Wu, S. M. (1979). "A Time-Series Control Chart for a Nuclear Reactor". In Proceedings of the 1979 Annual Reliability and Maintainability Symposium. Institute of Electrical and Electronic Engineers, New York, pp. 92-98.
16. Faltin, F. W.; Mastrangelo, C. M.; Runger, G. C.; and Ryan, T. P. (1997). "Considerations in the Monitoring of Autocorrelated and Independent Data". Journal of Quality Technology 29, pp. 131-133.
17. Flack, T.; Schmid, W.; and Sigmund, R. (1996). "A Comparison of Several Procedures for Identifying Outliers in Contaminated ARMA processes". Computational Statistics 11, pp. 175-195.
18. Harris, T. H. and Ross, W. H. (1991). "Statistical Process Control Procedures for Correlated Observations". Canadian Journal of Chemical Engineering 69, pp. 48-57.
19. Hillier, F. S. (1969). "X̄ and R-Chart Control Limits Based on a Small Number of Subgroups". Journal of Quality Technology 1, pp. 17-26.
20. Hunter, J. S. (1990). Comment on "EWMA Control Schemes: Properties and Enhancements". Technometrics 32, pp. 21-22.
21. Jenkins, G. M. (1979). Practical Experiences with Modeling and Forecasting Time-Series. Gwilym Jenkins and Partners, Jersey, U.K.
22. Liu, L. and Hudak, G. B. in collaboration with Box, G. E. P.; Muller, M. E.; and Tiao, G. C. (1992). Forecasting and Time Series Analysis Using the SCA Statistical System, Volume I, Oak Brook, IL: Scientific Computing Associates Corp.
23. MacGregor, J. F. (1991). Discussion of "Some Statistical Process Control Methods for Autocorrelated Data". Journal of Quality Technology 23, pp. 198-199.
24. Mastrangelo, C. M. and Montgomery, D. C. (1995). "Characterization of a Moving Centerline Exponentially Weighted Moving Average". Quality and Reliability Engineering International 11, pp. 79-89.
25. Montgomery, D. C. (1996). Introduction to Statistical Quality Control. Third edition, John Wiley and Sons, Inc., New York, NY.
26. Montgomery, D. C. and Friedman, D. J. (1989). "Statistical Process Control in a Computer-Integrated Manufacturing Environment" in Statistical Process Control in Automated Manufacturing edited by J. B. Keats and N. F. Hubele. Marcel-Dekker, New York, NY.
27. Montgomery, D. C. and Mastrangelo, C. M. (1991). "Some Statistical Process Control Methods for Autocorrelated Data". Journal of Quality Technology 23, pp. 179-193.
28. Ng, C. H. and Case, K. E. (1989). "Development and Evaluation of Control Charts Using Exponentially Weighted Moving Averages". Journal of Quality Technology 21, pp. 242-250.
29. Notohardjono, B. D. and Ermer D. S. (1986). "Time Series Control Charts for Correlated and Contaminated Data". Journal of Engineering for Industry 108, pp. 219-225.
30. Pankratz, A. (1983). Forecasting with Univariate Box-Jenkins Models, Concepts and Cases. John Wiley and Sons, New York, NY.
31. PC SCA System for Forecasting and Time Series Analysis, PC-EXPERT and XUTS Modules. Scientific Computing Associates (SCA), Oak Brook, IL. (1992).
32. Prasad, S.; Booth, D. E.; and Hu, M. Y. (1995). "Monitoring the Quality of a Chemical Production Process Using the Joint Estimation Method". Journal of Chemical Information and Computer Science 35, pp. 53-58.
33. Prasad, S.; Booth, D. E.; Hu, M. Y.; and Deligonul, S. (1995). "The Detection of Nuclear Material Losses". Decision Sciences 26, pp. 265-281.
34. Pyzdek, T. (1993). "Process Control for Short and Small Runs". Quality Progress, April, pp. 51-60.
35. Quesenberry, C. P. (1991a). "SPC Q Charts for Start-up Processes and Short or Long Runs". Journal of Quality Technology 23, pp. 213-224.
36. Quesenberry, C. P. (1991b). "SPC Q Charts for a Binomial Parameter p: Short or Long Runs". Journal of Quality Technology 23, pp. 239-246.
37. Reynolds, M. R., Jr.; Arnold, J. C.; and Baik, J. W. (1996). "Variable Sampling Interval Mean Charts in the Presence of Correlation". Journal of Quality Technology 28, pp. 12-30.
38. Runger, G. C.; Willemain, T. R.; and Prahabu, S. S. (1995) "Average Run Lengths for CUSUM Control Charts Applied to Residuals". Communications in Statistics - Theory and Methods 25, pp. 273-282.
39. Runger, G. C. and Willemain, T. R. (1996). "Model-Based and Model-Free Control of Autocorrelated Processes". Journal of Quality Technology 27, pp. 283-292.
40. Tsay, R. S. (1988). "Outliers, Level Shifts, and Variance Changes in Time Series". Journal of Forecasting 7, pp. 1-20.
41. Vasilopoulos, A. V. and Stamboulis, A. P. (1978). "Modification of Control Chart Limits in the Presence of Data Correlation". Journal of Quality Technology 10, pp. 20-30.
42. Wardell, D. G.; Moskowitz, H.; and Plante, R. D. (1992). "Control Charts in the Presence of Data Correlation". Management Science 38, pp. 1084-1105.
43. Wardell, D. G.; Moskowitz, H.; and Plante, R. D. (1994). "Run-Length Distributions of Special-Cause Control Charts for Correlated Processes" (with discussion). Technometrics 36, pp. 3-27.
44. Wasserman, G. S. (1994). "Short-run SPC Using Dynamic Control Chart". Computers in Industrial Engineering 27, pp. 353-356.
45. Wasserman, G. S. and Sudjianto, A. (1993). "Short-run SPC Based upon the Second Order Dynamic Linear Model for Trend Detection". Communications in Statistics - Simulation and Computation 22, pp. 1011-1036.
46. Wright, C. M.; Hu, My. Y.; and Booth, D. E. (1999). "Effectiveness of Joint Estimation when the Outlier is the last Observation in an Autocorrelated Short Time Series". Decision Sciences 30, pp. 825-847.
47. Yashchin, E. (1993). "Performance of CUSUM Control Schemes for Serially Correlated Observations". Technometrics 35, pp. 37-52.
48. Yourstone, S. A. and Montgomery, D. C. (1989). "Development of a Real-Time Statistical Process Control Algorithm". Quality and Reliability Engineering International 5, pp. 309-317.