A change point model for the location parameter of exponential family densities

IIE Transactions (Institute of Industrial Engineers)

Volumn 40, Issue 10, 2008, Pages 947-956

  Perry, Marcus B ^a   Pignatiello Jr , Joseph J ^b  

^a UNIVERSITY OF ALABAMA   (United States)

^b FLORIDA STATE UNIVERSITY   (United States)

Author keywords

Exponential family; Generalized linear model; Maximum likelihood estimation; Process improvement; Quality control; Special cause identification; Statistical process control

Indexed keywords

CONTROL THEORY; ESTIMATION; FLOWCHARTING; PARAMETER ESTIMATION; PRODUCTION CONTROL; PRODUCTION ENGINEERING; STATISTICAL PROCESS CONTROL;

CHANGE POINT ESTIMATOR; CHANGE POINTS; DISCRETE SAMPLING; EXPONENTIAL FAMILIES; EXPONENTIAL FAMILY; GENERALIZED LINEAR MODEL; LINEAR PREDICTOR; MAXIMUM LIKELIHOOD ESTIMATION; MAXIMUM-LIKELIHOOD; PROCESS CHANGE; PROCESS ENGINEERS; PROCESS IMPROVEMENT; QUALITY CONTROL; ROOT CAUSES; SPECIAL-CAUSE IDENTIFICATION; UNIVARIATE STATISTICAL PROCESS CONTROL;

PROCESS CONTROL;

EID: 49249122725     PISSN: 0740817X     EISSN: 15458830     Source Type: Journal    
DOI: 10.1080/07408170701775102     Document Type: Article

References (17)

1. Box, G. E. P. and Cox, D. R. (1964) An analysis of transformations. Journal of the Royal Statistical Society, pp. 211-243.
2. Fahmy, H. M. and Elsayed, E. A. (2006) Drift time detection and adjustment procedures for processes subject to linear trend. International Journal of Production Research, 44:16, pp. 3257-3278.
3. Meyers, R. H., Montgomery, D. C. and Vining, G. G. (2002) Generalized Linear Models: With Applications in Engineering and the Sciences, Wiley, New York, NY
4. Nishina, K. (1992) A comparison of control charts from the viewpoint of change point estimation. Quality and Reliability Engineering International, 8, pp. 537-541.
5. Page, E. S. (1954) Continuous inspection schemes. Biometrika, 41, pp. 1-9.
6. Page, E. S. (1961) Cumulative sum control charts. Technometrics, 3, pp. 1-9.
7. Perry, M. B. and Pignatiello Jr., J. J. (2005) Estimating the change point of the process fraction nonconforming for SPC application. International Journal of Reliability, Quality and Safety Engineering, 12:2, pp. 95-110.
8. Perry, M. B. and Pignatiello Jr., J. J. (2006) Estimating the change point of a normal process mean with a linear trend disturbance in SPC. Quality Technology and Quantitative Management, 3:3, pp. 325-334.
9. Perry, M. B., Pignatiello Jr., J. J. and Simpson, J. R. (2006) Estimating the change point of a poisson rate parameter with a linear trend disturbance. Quality and Reliability Engineering International, 22:4, pp. 82-95.
10. Perry, M. B., Pignatiello Jr., J. J. and Simpson, J. R. (2007) Change point estimation for monotonically changing poisson rates in SPC. International Journal of Production Research, 45:8, pp. 1791-1813.
11. Perry, M. B., Pignatiello Jr., J. J. and Simpson, J. R. (2007) Estimation of the change point of the process fraction nonconforming with a monotonic change disturbance in SPC. Quality and Reliability Engineering International, 23:3, pp. 327-339.
12. Pignatiello Jr., J. J. and Samuel, T. R. (2001) Estimation of the change point of a normal process mean in SPC applications. Journal of Quality Technology, 33:1, pp. 82-95.
13. Roberts, S. W. (1959) Control chart tests based on geometric moving averages. Technometrics, 1, pp. 239-250.
14. Samuel, T. R. and Pignatiello Jr., J. J. (1998) Identifying the time of a change in a poisson rate parameter. Quality Engineering, 10:4, pp. 673-681.
15. Samuel, T. R. and Pignatiello Jr., J. J. (2001) Identifying the time of a step change in the process fraction nonconforming. Quality Engineering, 13, pp. 357-365.
16. Samuel, T. R., Pignatiello Jr., J. J. and Calvin, J. A. (1998) Identifying the time of a step change with Xbar control charts. Quality Engineering, 10:3, pp. 521-527.
17. Siegmund, D. (1986) Boundary crossing probabilities and statistical applications. Annals of Statistics, 14, pp. 361-404.