Control charts for monitoring the mean and variance of autocorrelated processes

Journal of Quality Technology

Volumn 31, Issue 3, 1999, Pages 259-274

  Lu, Chao Wen ^a   Reynolds Jr , Marion R ^b  

^a CHAOYANG UNIVERSITY OF TECHNOLOGY   (Taiwan)

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

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION METHODS; ERROR ANALYSIS; MATHEMATICAL MODELS; PROCESS ENGINEERING; RANDOM PROCESSES; REGRESSION ANALYSIS; STATISTICAL PROCESS CONTROL; TIME SERIES ANALYSIS;

AUTOCORRELATED PROCESSES; EXPONENTIALLY WEIGHTED MOVING AVERAGE CHARTS; FIRST-ORDER AUTOREGRESSIVE PROCESSES;

QUALITY CONTROL;

EID: 0033154344     PISSN: 00224065     EISSN: None     Source Type: Journal    
DOI: 10.1080/00224065.1999.11979925     Document Type: Article

References (19)

1. 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.
2. 2-chart". Sankhya B 59, pp. 229-255.
3. AMIN, R. W. and LEE, S. J. (1999). "The Effects of Autocorrelation and Outliers on Two-sided Tolerance Limits". Journal of Quality Technology 31, pp. 286-300.
4. Box, G. E. P.; JENKINS, G. M.: and REINSEL, G. C. (1994). Time Series Analysis, Forecasting and Control, 3rd ed. Prentice-Hall, Englewood Cliffs, NJ.
5. CROWDER, S. V. (1989). "Design of Exponentially Weighted Moving Average Schemes". Journal of Quality Technology 21, pp. 155-162.
6. CROWDER, S. V. and HAMILTON, M. D. (1992). "An EWMA for Monitoring a Process Standard Deviation". Journal of Quality Technology 24, pp. 12 21.
7. FALTIN, F. W. and WOODALL, W. H. (1991). "Discussion of 'Some Statistical Process Control Methods for Autocorrelated Data' ". Journal of Quality Technology 23, pp. 194-197.
8. LAWLESS, J. F. (1982). Statistical Models and Methods for Lifetime Data. John Wiley & Sons, New York, NY.
9. LU, C. W. and REYNOLDS, M. R., JR. (1999). "EWMA Control Charts for Monitoring the Mean of Autocorrelated Processes". Journal of Quality Technology 31, pp. 166-188.
10. LUCAS, J. M. and SACCUCCI, M. S. (1990). "Exponentially Weighted Moving Average Control Schemes: Properties and Enhancements". Technometrics 32, pp. 1-12.
11. MACGREGOR, J. F. (1991). "Discussion of 'Some Statistical Process Control Methods for Autocorrelated Data' ". Journal of Quality Technology 23, pp. 198-199.
12. MACGREGOR, J. F. and HARRIS, T. J. (1993). "The Exponentially Weighted Moving Variance". Journal of Quality Technology 25, pp. 106-118.
13. MARAGAH, H. D. and WOODALL, W. H. (1992). "The Effect of Autocorrelation on the Retrospective X-Chart". Journal of Statistical Computation and Simulation 40, pp. 29 42.
14. MONTGOMERY, D. C. and MASTRANGELO, C. M. (1991). "Some Statistical Process Control Methods for Autocorrelated Data". Journal of Quality Technology 23, pp. 179-193.
15. PADGETT, C. S.; THOMBS, L. A.; and PADGETT, W. J. (1992). "On the α-risks for Shewhart Control Charts". Communications in Statistics - Simulation and Computation 21, pp. 1125 1147.
16. REYNOLDS, M. R., JR.: ARNOLD, J. C.; and BAIK. J. W. (1996). "Variable Sampling Interval X̄ Charts in the Presence of Correlation". Journal of Quality Technology 28, pp. 12-30.
17. RUNGER, G. C.; WILLEMAIN, T. R.; and Prabhu, S. (1995). "Average Run Lengths for CUSUM Control Charts Applied to Residuals". Communications in Statistics - Theory and Methods 24, pp. 273 282.
18. VANBRACKLE, L. N. and REYNOLDS, M. H., JR. (1997). "EWMA and CUSUM Control Charts in the Presence of Correlation". Communications in Statistics - Simulation end Computation 26, pp. 979-1008.
19. WAHDELL, D. G.: MOSKOWITZ, H.; and PLANTE, R. D. (1994). "Run Length Distributions of Special-Cause Control Charts for Correlated Processes". Technometrics 30, pp. 3 17.