Multivariate extensions to cumulative sum control charts

Quality and Reliability Engineering International

Volumn 20, Issue 6, 2004, Pages 587-606

  Runger, George C ^a   Testik, Murat C ^b  

^a ARIZONA STATE UNIVERSITY   (United States)

^b CUKUROVA UNIVERSITY   (Turkey)

Author keywords

Cumulative sum; Exponentially weighted moving average; Generalized likelihood ratio; Multivariate process monitoring

Indexed keywords

COMPUTER SIMULATION; DATA ACQUISITION; MATHEMATICAL MODELS; PROBABILITY; PROCESS CONTROL; REAL TIME SYSTEMS;

CUMULATIVE SUM; EXPONENTIALLY WEIGHTED MOVING AVERAGE; GENERALIZED LIKELIHOOD RATIO; MULTIVARIATE PROCESS MONITORING;

CONTROL SYSTEMS;

EID: 6444239951     PISSN: 07488017     EISSN: None     Source Type: Journal    
DOI: 10.1002/qre.571     Document Type: Article

References (23)

1. Page ES. Continuous inspection schemes. Biometrika 1954; 41:100-114.
2. Hawkins DM, Olwell DH. Cumulative Sum Charts and Charting for Quality Improvement. Springer: New York, 1998.
3. Wald A. Sequential Analysis. Wiley: New York, 1947.
4. Hinkley DV. Inference about the change point from cumulative sum tests. Biometrika 1971; 58:509-523.
5. Kemp KW. The average run length of the cumulative sum chart when a V-mask is used. Journal of the Royal Statistical Society, Series B 1961; 20:149-153.
6. Van Dobben de Bruyn CS. Cumulative Sum Tests: Theory and Practice. Hafner: New York, 1968.
7. Lucas JM. The design and use of cumulative sum quality control schemes. Journal of Quality Technology 1976; 8:1-12.
8. Hinkley DV. Inferences about the change point in a sequence of random variables. Biometrika 1970; 57:1-17.
9. Eaton ML. Multivariate Statistics. Wiley: New York, 1983.
10. Healy JD. A note on multivariate CUSUM procedures. Technometrics 1987; 29:409-412.
11. Woodall WH, Ncube MM. Multivariate CUSUM quality control procedures. Technometrics 1985; 27:285-292.
12. Basseville M, Nikiforov IV. Detection of Abrupt Changes: Theory and Application. Prentice-Hall: Englewood Cliffs, NJ, 1993.
13. Hotelling HH. Multivariate quality control-illustrated by the air testing of sample bombsights. Techniques of Statistical Analysis, Eisenhart C, Hastay MW, Wallis WA (eds.). McGraw-Hill: New York, 1947.
14. Wijsman RA. Invariant Measures on Groups and Their Use in Statistics. Institute of Mathematical Statistics: Hayward, CA, 1990.
15. Mardia KV. Statistics of Directional Data. Academic Press: London, 1972.
16. Mardia KV, Kent JT, Bibby JM. Multivariate Analysis. Academic Press: New York, 1979.
17. Pignatiello JJ, Runger GC. Comparisons of multivariate CUSUM charts. Journal of Quality Technology 1990; 22:173-186.
18. Crosier RB. Multivariate generalizations of cumulative sum quality control schemes. Technometrics 1988; 30:291-303.
19. Willsky AS, Jones HL. A generalized likelihood ratio approach to the detection and estimation of jumps in linear systems. IEEE Transactions on Automatic Control 1976; AC 21:108-112.
20. Lowry CA, Woodall WH, Champ CW, Rigdon SE. A multivariate exponentially weighted moving average chart. Technometrics 1992; 34:46-53.
21. Runger GC, Prabhu SS. A markov chain model for the multivariate exponentially weighted moving averages control chart. Journal of the American Statistical Association 1996; 91:1701-1706.
22. Prabhu SS, Runger GC. Analysis of a two-dimensional Markov chain. Communications In Statistics-Simulation And Computation 1996; 25:75-79.
23. Prabhu SS, Runger GC. Designing a multivariate EWMA control chart. Journal of Quality Technology 1997; 29:8-15.