An alternative mean estimator for processes monitored by SPC charts

International Journal of Production Research

Volumn 38, Issue 13, 2000, Pages 3093-3109

  Chen, Argon ^a   Elsayed, E A ^b  

^a NATIONAL TAIWAN UNIVERSITY   (Taiwan)

^b RUTGERS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL EQUIPMENT; GRAPHIC METHODS; MONITORING; STATISTICAL PROCESS CONTROL;

ALTERNATIVE MEAN ESTIMATORS;

MANUFACTURE;

EID: 0034633386     PISSN: 00207543     EISSN: 1366588X     Source Type: Journal    
DOI: 10.1080/00207540050117468     Document Type: Article

References (34)

1. Åström, K. J 1970, Stochastic Control Theory (New York: Academic Press).
2. Barnard, G. A., 1959, Control charts and stochastic processes. Journal of the Royal Statistics Society, Series B, 21, 239-257.
3. Boning, D., Hurwitz, A., Moyne, J., Moyne, W., Smith, T., Taylor, J. and Telfeyan, R., 1995, Run by run control of chemical mechanical polishing. IEEE Transactions on Components, Packaging and Manufacturing Technology — Part C, 19, 307-314.
4. Box, G. E. and Jenkins, G. M., 1968, Some recent advances in forecasting and control. Applied Statistics, 17, 91-109
5. Box, G. E. and Jenkins, G. M., 1970, Time Series Analysis: Forecasting and Control (San Francisco: Holden-Day).
6. Box, G. E. and Kramer, T., 1992, Statistical process monitoring and feedback adjustment - a discussion. Technometrics, 34, 251-285.
7. Brook, D. and Evans, D. A., 1972, An approach to the probability distribution of CUSUM run length. Biometrika, 59, 539-549.
8. Champ and Woodall, 1987, Exact results for Shewhart control charts with supplementary runs rules. Technometrics, 29, 393-399.
9. Chernoff, H. and Zacks, S., 1964, Estimating the current mean of a normal distribution which is subject to change in time. Annals of Mathematics and Statistics, 35, 999-1018.
10. COX, D. R., 1962, Renewal Theory (New York: Chapman and Hall).
11. Crowder, S. V., 1989, Design of exponentially weighted moving average schemes, 21, 155-162.
12. Davis, M. H. A. and VINTER, R. B., 1985, Stochastic Modeling and Control (New York: Chapman & Hall).
13. Fellner, W. H., 1990, Algorithm AS 258. Average run length for cumulative sum schemes. Applied Statistics, 39, 402-412.
14. Harrison, P. J. and Stevens, C. F., 1971, A Bayesian approach to short-term forecasting. Operational Research Quarterly, 22, 341-362
15. Harrison, P. J. and Stevens, C. F., 1976, Bayesian forecasting. Journal of Royal Statistics Society, Series B, 38, 205-247.
16. HOERL, R. W. and Palm, A., 1992, Discussion: integrating SPC and APC. Technometrics, 34, 268-272.
17. Ingolfsson, A. and Sachs, E., 1993, Stability and sensitivity of an EWMA controller. Journal of Quality Technology, 25, 271-287.
18. Kelton, W. D., Walton, M., Hancock, M. and Bischak, D.P., 1990, Adjustment rules based on quality control charts. International Journal of Production Research, 28, 385-400.
19. Lehmann, E. L., 1991, Theory of Point Estimation (Pacific Grove, California: Wadsworth), pp. 236-249.
20. Lucas, J. M. and Saccuci, M. S., 1990, Exponentially weighted moving average control schemes: properties and enhancements. Technometrics, 32, 1-27.
21. Macgregor, J. F., 1987, Interfaces between process control and online statistical process control. Computing and Systems Technology Division Communications, 10, 9-20
22. Macgregor, J. F., 1988, On line statistical process control. Chemical Engineering Progress, Oct., 21-31.
23. MONTGOMERY, D. C., 1996, Introduction to Statistical Quality Control (New York: Wiley).
24. Page, E. S., 1954, Continuous inspection schemes. Biometrika, 41, 100-116
25. Page, E. S., 1955, A test for a change in a parameter occurring at an unknown point. Biometrika, 42, 523-526.
26. Sachs, E., Hu, A. and Ingolfsson, A., 1995, Run by run process control: combining spc and feedback control. IEEE Transactions on Semiconductor Manufacturing, 8, 26-43.
27. Slegmund, D., 1985, Sequential Analysis: Tests and Confidence Intervals (New York: SpringerVerlag).
28. Shewhart, W. A., 1931, Economic Control of Quality Improvement (Princeton: Van Nostrand Reinhold).
29. Nishina, K., 1992, A comparison of contro charts from the viewpoint of change-point estimation. Quality and Reliability Engineering International, 8, 537-541.
30. Tucker, W. T., Faltin, F. W. and Vander Wiel, S. A., 1993, Algorithmic statistical process control: an elaboration. Technometrics, 35, 363-375.
31. Vander Wiel S. A., Tucker, W. T., Faltin, F. W. and Doganaksoy, N., 1992, Algorithmic statistical process control: concepts and an application. Technometrics, 34, 286-297.
32. Western Electric Company, 1958, Statistical Quality Control Handbook (New York: Western Electric Company).
33. Woodall, W. H. and Reynolds, M. R. R., Jr., 1983, A discrete Markov chain representation of the sequential probability ratio test. Communications in Statistics — Sequential Analysis, 2, 27-44.
34. Yashchin, E., 1995, Estimating the current mean of a process subject to abrupt changes. Technometrics, 37, 311-323.