Combined Shewhart–EWMA control charts with estimated parameters

References

• Montgomery , D. C. 2004 . Introduction to Statistical Quality Control , 5 , New York : Wiley .
   Google Scholar
• Shewhart , W. A. 1939 . Statistical Method from the Viewpoint of Quality Control , New York, NY : Dover Publications .
   Google Scholar
• Roberts , S. W. 1959 . Control chart tests based on geometric moving averages . Technometrics , 1 : 239 – 250 .
   Google Scholar
• Lucas , J. M. and Saccucci , M. S. 1990 . Exponentially weighted moving average control schemes: Properties and enhancements quality . Technometrics , 32 : 1 – 29 .
   Web of Science ®Google Scholar
• Woodall , W. H. and Montgomery , D. C. 1999 . Research issues and ideas in statistical process control . J. Qual. Technol. , 31 : 376 – 386 .
   Web of Science ®Google Scholar
• Sullivan , J. H. and Woodall , W. H. 2000 . A control charts for preliminary analysis of individual observations . J. Qual. Technol. , 28 : 265 – 278 .
   Web of Science ®Google Scholar
• Koning , A. J. and Does , R. J. M. 2000 . CUSUM charts for preliminary analysis of individual observations . J. Qual. Technol. , 32 : 122 – 132 .
   Web of Science ®Google Scholar
• Nedumaran , G. and Pignatiello Jr , J. J. 2004 . On Constructing Retrospective-X Control Charts Limits . Qual. Reliab. Eng. Int. , 21 : 81 – 89 .
   Web of Science ®Google Scholar
• Quesenberry , C. P. 1993 . The effect of sample size on estimated limits for X¯ and X control charts . J. Qual. Technol. , 25 : 237 – 247 .
   Web of Science ®Google Scholar
• Albers , W. and Kallenberg , W. C. 2004 . Estimation in Shewhart control charts: effects and corrections . Metrika , 59 : 207 – 234 .
   Web of Science ®Google Scholar
• Jones , A. L. , Champ , C. W. and Rigdon , S. E. 2001 . The performance of exponentially weighted moving average charts with estimated parameters . Technometrics , 42 : 156 – 167 .
   Web of Science ®Google Scholar
• Jones , A. L. , Champ , C. W. and Rigdon , S. E. 2004 . The run length distribution of the CUSUM with estimated parameters . J. Qual. Technol. , 36 : 95 – 108 .
   Web of Science ®Google Scholar
• Jensen , W. A. , Jones-Farmer , A. L. , Champ , C. W. and Woodall , W. H. 2006 . Effects of parameter estimation on control charts properties: A literature review . J. Qual. Technol. , 38 : 349 – 364 .
   Web of Science ®Google Scholar
• Brook , D. and Evans , D. A. 1972 . An approach to the probability distribution of CUSUM run length . Biometrika , 59 : 539 – 549 .
   Web of Science ®Google Scholar
• Crowder , S. V. 1987 . A simple method for studying run-length distributions of exponentially weighted moving average charts . Technometrics , 29 : 401 – 407 .
   Web of Science ®Google Scholar
• Brent , R. 1973 . Algorithms for Minimization without Derivatives , New Jersey : Prentice-Hall .
   Google Scholar
• Lange , K. 1999 . Numerical Analysis for Statisticians , Berlin : Springer-Verlag .
   Google Scholar
• Hawkins , D. M. , Qiu , P. and Kang , C. W. 2003 . A change-point model for statistical process control . J. Qual. Technol. , 35 : 355 – 366 .
   Web of Science ®Google Scholar
• Hawkins , D. M. 1987 . Self-starting cusum charts for location and scale . The Statistician , 36 : 299 – 315 .
   Google Scholar
• Quesenberry , C. P. 1991 . SPC Q charts for start-up processes and short or long runs . J. Qual. Technol. , 23 : 213 – 224 .
   Web of Science ®Google Scholar
• Zantek , P. F. 2006 . Design of cumulative sum schemes for start-up processes and short runs . J. Qual. Technol. , 38 : 365 – 375 .
   Web of Science ®Google Scholar
• Clenshaw , C. W. and Curtis , A. R. 1960 . A method for numerical integration on an automatic computer . Numer. Math. , 2 : 197 – 205 .
   Google Scholar
• Sloan , I. H. and Smith , W. E. 1982 . Properties of interpolatory product integration rules . SIAM J. Numer. Anal. , 19 : 427 – 442 .
   Web of Science ®Google Scholar
• Piessens , R. 2000 . Computing integral transforms and solving integral equations using Chebyshev polynomial approximations . J. Comput. Appl. Math. , 121 : 113 – 124 .
   Web of Science ®Google Scholar
• Kang , S. H. , Koltracht , I. and Rawitscher , G. 2002 . Nystrom–Clenshaw–Curtis quadrature for integral equations with discontinuous kernels . Math. Comput. , 72 : 729 – 756 .
   Web of Science ®Google Scholar
• Sloan , I. H. and Smith , W. E. 1978 . Product-integration with the Clenshaw and Curtis and related points . Numer. Math. , 30 : 415 – 428 .
   Web of Science ®Google Scholar
• Trefethen , L. 2008 . Is Gaussian quadrature better than Clenshaw-Curtis? . SIAM Rev. , 50 : 67 – 87 .
   Web of Science ®Google Scholar