A general framework for constructing control charts

Quality and Reliability Engineering International

Volumn 21, Issue 6, 2005, Pages 633-653

  Polansky, Alan M ^a  

^a NORTHERN ILLINOIS UNIVERSITY   (United States)

Author keywords

Average run length; Bootstrap; Kernel density estimation; Multivariate processes; Non parametric

Indexed keywords

AVERAGE RUN LENGTH; BOOTSTRAP; KERNEL DENSITY ESTIMATION; MULTIVARIATE PROCESSES; NON-PARAMETRIC;

MODAL ANALYSIS; PARAMETER ESTIMATION; SAMPLING; STATISTICAL METHODS;

MULTIVARIABLE CONTROL SYSTEMS;

EID: 26644445001     PISSN: 07488017     EISSN: None     Source Type: Journal    
DOI: 10.1002/qre.680     Document Type: Article

References (36)

1. Montgomery DC. Introduction to Statistical Quality Control (4th edn). Wiley: New York, 2002.
2. Alt FB. Multivariate quality control. Encyclopedia of Statistical Sciences, vol. 6, Kotz S, Johnson NL (eds.). Wiley: New York, 1985; 110-122.
3. Jackson EJ. Multivariate quality control. Communications in Statistics-Theory and Methods 1985; 14:2657-2688.
4. Mason RL, Young JC. Multivariate Statistical Process Control with Industrial Applications. SIAM: Philadelphia, PA, 2002.
5. Randles RH, Wolfe DA. Introduction to the Theory of Nonparametric Statistics. Wiley: New York, 1999.
6. Alloway JA, Raghavachari M. Control chart based on the Hodges-Lehmann estimator. Journal of Quality Technology 1991; 23:336-347.
7. Burr IW. The effect of nonnormality on constants for X̄ and R charts. Industrial Quality Control 1967; 23:563-569.
8. Schilling EG, Nelson PR. The effect of non-normality on the control limits of X̄ charts. Journal of Quality Technology 1976; 8:183-188.
9. Yourstone SA, Zimmer WJ. Nonnormality and the design of control charts for averages. Decision Sciences 1992; 23:1099-1113.
10. Chou YM, Polansky AM, Mason RL. Transforming non-normal data to normality in statistical process control. Journal of Quality Technology 1998; 30:133-141.
11. Nichols MD, Padgett WJ. A bootstrap control chart for Weibull percentiles. Quality and Reliability Engineering International 2005; (to appear).
12. Hall P. The Bootstrap and Edgeworth Expansion. Springer: New York, 1992.
13. Langenberg P, Iglewicz B. Trimmed mean X̄ and R charts. Journal of Quality Technology 1986; 18:152-161.
14. Bai DS, Choi IS. X̄ and R charts for skewed populations. Journal of Quality Technology 1995; 27:120-131.
15. Jones LA, Woodall WH. The performance of bootstrap control charts. Journal of Quality Technology 1998; 30:362-375.
16. Bowman AW, Azzalini A. Applied Smoothing Techniques for Data Analysis. Clarendon Press: Oxford, 1997.
17. Scott DW. Multivariate Density Estimation. Wiley: New York, 1992.
18. Simonoff JS. Smoothing Methods in Statistics. Springer: New York, 1996.
19. Wand MP, Jones MC. Kernel Smoothing. Chapman and Hall: London, 1995.
20. Efron B. Bootstrap methods: Another look at the jackknife. The Annals of Statistics 1979; 7:1-26.
21. Seppala T, Moskowitz H, Plante R, Tang J. Statistical process control via the subgroup bootstrap. Journal of Quality Technology 1995; 27:139-153.
22. Bajgier SM. The use of bootstrapping to construct limits for control charts. Proceedings of the Decision Science Institute, San Diego, CA, 1992. Decision Science Institute: Atlanta, GA, 1992; 1611-1613.
23. Liu RY, Tang J. Control charts for dependent and independent measurements based on the bootstrap. Journal of the American Statistical Association 1996; 91:1694-1700.
24. Polansky AM. Stabilizing bootstrap-t confidence intervals for small samples. Canadian Journal of Statistics 2000; 59:821-838.
25. Sheather SJ, Jones MC. A reliable data-based bandwidth selection method for kernel density estimation. Journal of the Royal Statistical Society B 1991; 53:683-690.
26. Silverman BW. Density Estimation for Statistics and Data Analysis. Chapman and Hall: London, 1986.
27. Conte SD, de Boor C. Elementary Numerical Analysis. McGraw-Hill: New York, 1980.
28. Deheuvels P. Estimation nonparamétrique de la densité par histogrammes généralisés (II). Publications de l'Institut Statistique de l'Université de Paris 1977; 22:1-23.
29. Wand MP, Jones MC. Multivariate plug-in bandwidth selection. Computational Statistics 1994; 9:97-117.
30. Wand MP, Jones MC. Comparison of smoothing parameterizations in bivariate kernel density estimation. Journal of the American Statistical Association 1993; 88:520-528.
31. Liu RY. Control charts for multivariate processes. Journal of the American Statistical Association 1995; 90:1380-1387.
32. Liu RY. On a notion of data depth based on random simplicies. The Annals of Statistics 1990; 18:405-414.
33. Tracy ND, Young JC, Mason RL. A bivariate control chart for paired measurements. Journal of Quality Technology 1995; 27:370-376.
34. Marron JS, Wand MP. Exact mean integrated squared error. The Annals of Statistics 1992; 20:712-736.
35. Efron B. Better bootstrap confidence intervals. Journal of the American Statistical Association 1987; 82:171-200.
36. Loh WY. Calibrating confidence coefficients. Journal of the American Statistical Association 1987; 82:155-162.