Multivariate Control Charts for Monitoring the Mean Vector and Covariance Matrix with Variable Sampling Intervals

REFERENCES

• Alt , F. A. ( 1984 ). Multivariate Quality Control , in Encyclopedia of Statistical Sciences , S. Kotz , N. L. Johnson , N. L. and C. R. Reid , eds., pp. 110 – 122 , New York : Wiley .
   Google Scholar
• Aparisi , F. ( 1996 ). Hotelling's T 2 Control Chart with Adaptive Sample Sizes , International Journal of Production Research 34 : 2853 – 2862 .
   Web of Science ®Google Scholar
• Aparisi , F. and Haro , C. L. ( 2001 ). Hotelling's T 2 Control Chart with Variable Sampling Intervals , International Journal of Production Research 39 : 3127 – 3140 .
   Web of Science ®Google Scholar
• Aparisi , F. and Haro , C. L. ( 2003 ). A Comparison of T 2 Control Charts with Variable Sampling Schemes as Opposed to MEWMA Chart , International Journal of Production Research 41 : 2169 – 2182 .
   Web of Science ®Google Scholar
• Baxley , R. V. , Jr. ( 1995 ). An Application of Variable Sampling Interval Control Charts , Journal of Quality Technology 27 : 275 – 282 .
   Web of Science ®Google Scholar
• Bersimis , S. , Psarakis , S. , and Panaretos , J. ( 2007 ). Multivariate Statistical Process Control Charts: An Overview , Quality and Reliability Engineering International 23 : 517 – 543 .
   Web of Science ®Google Scholar
• Chengalur-Smith , I. N. , Arnold , J. C. , and Reynolds , M. R. , Jr. ( 1993 ). Multiple Means Shewhart Charts Using Variable Sampling Intervals , Journal of Statistical Computation and Simulation 45 : 1 – 21 .
   Web of Science ®Google Scholar
• Domangue , R. and Patch , S. C. ( 1991 ). Some Omnibus Exponentially Weighted Moving Average Statistical Process Monitoring Schemes , Technometrics 33 : 299 – 313 .
   Web of Science ®Google Scholar
• Hawkins , D. M. ( 1991 ). Multivariate Quality Control Based on Regression-Adjusted Variables , Technometrics 33 : 61 – 75 .
   Web of Science ®Google Scholar
• Hawkins , D. M. ( 1993 ). Regression Adjustment for Variables in Multivariate Quality Control , Journal of Quality Technology 25 : 170 – 182 .
   Web of Science ®Google Scholar
• Hawkins , D. M. and Olwell , D. H. ( 1998 ). Cumulative Sum Control Charts and Charting for Quality Improvement , New York : Springer-Verlag .
   Google Scholar
• Hotelling , H. ( 1947 ). Techniques of Statistical Analysis , C. Eisenhart , M. W. Hastay , and W. A. , Wallis eds., pp. 111 – 184 , New York : McGraw-Hill .
   Google Scholar
• Lowry , C. A. and Montgomery , D. C. ( 1995 ). A Review of Multivariate Control Charts , IIE Transactions 27 : 800 – 810 .
   Web of Science ®Google Scholar
• Lowry , C. A. , Woodall , W. H. , Champ , C. W. , and Rigdon , S. E. ( 1992 ). A Multivariate Exponentially Weighted Moving Average Control Chart , Technometrics 34 : 46 – 53 .
   Web of Science ®Google Scholar
• MacGregor , J. F. and Harris , T. J. ( 1993 ). The Exponentially Weighted Moving Variance , Journal of Quality Technology 25 : 106 – 118 .
   Web of Science ®Google Scholar
• Mason , R. L. and Young , J. C. ( 2002 ). Multivariate Statistical Process Control with Industrial Applications , Philadelphia : ASA-SIAM .
   Google Scholar
• Montgomery , D. C. ( 2009 ). Introduction to Statistical Quality Control , 6th edition , New York : Wiley .
   Google Scholar
• Qui , P. and Hawkins , D. M. ( 2001 ). A Rank-Based Multivariate CUSUM Procedure , Technometrics 43 : 120 – 132 .
   Web of Science ®Google Scholar
• Reynolds , M. R. , Jr. ( 1995 ). Evaluating Properties of Variable Sampling Interval Control Charts , Sequential Analysis 14 : 59 – 97 .
   Google Scholar
• Reynolds , M. R. , Jr. ( 1996 ). Shewhart and EWMA Variable Sampling Interval Control Charts with Sampling at Fixed Times , Journal of Quality Technology 28 : 199 – 212 .
   Web of Science ®Google Scholar
• Reynolds , M. R. Jr. , and Cho , G. Y. ( 2006 ). Multivariate Control Charts for Monitoring the Mean Vector and Covariance Matrix , Journal of Quality Technology 38 : 230 – 253 .
   Web of Science ®Google Scholar
• Reynolds , M. R. , Jr. and Ghosh , B. K. ( 1981 ). Designing Control Charts for Means and Variances, 35th Annual Quality Congress Transactions, 400–407.
   Google Scholar
• Reynolds , M. R. , Jr. and Kim , K. ( 2005 ). Multivariate Monitoring of the Process Mean Vector with Sequential Sampling , Journal of Quality Technology 37 : 149 – 162 .
   Web of Science ®Google Scholar
• Reynolds , M. R. , Jr. and Kim , K. ( 2007 ). Multivariate Control Charts for Monitoring the Process Mean and Variability using Sequential Sampling , Sequential Analysis 26 : 283 – 315 .
   Google Scholar
• Reynolds , M. R. , Jr. and Stoumbos , Z. G. (2001). Monitoring the Process Mean and Variance Using Individual Observations and Variable Sampling Intervals, Journal of Quality Technology 33: 181–205.
   Web of Science ®Google Scholar
• Reynolds , M. R. , Jr. and Stoumbos , Z. G. ( 2004a ). Control Charts and the Efficient Allocation of Sampling Resources , Technometrics 46 : 200 – 214 .
   Web of Science ®Google Scholar
• Reynolds , M. R. , Jr. and Stoumbos , Z. G. ( 2004b ). Should Observations be Grouped for Effective Process Monitoring? , Journal of Quality Technology 36 : 343 – 366 .
   Web of Science ®Google Scholar
• Reynolds , M. R. , Jr. and Stoumbos , Z. G. ( 2005 ). Should Exponentially Weighted Moving Average and Cumulative Sum Charts be Used with Shewhart Limits? , Technometrics 47 : 409 – 424 .
   Web of Science ®Google Scholar
• Reynolds , M. R. , Jr. and Stoumbos , Z. G. ( 2006 ). Comparisons of Some EWMA Control Charts for Monitoring the Process Mean and Variance , Technometrics 48 : 550 – 567 .
   Web of Science ®Google Scholar
• Reynolds , M. R. , Jr. and Stoumbos , Z. G. ( 2007 ). Variable Sampling Rate Control Charts , in Encyclopedia of Statistics in Quality and Reliability , F. Ruggeri , R. Kennett and F. W. Faltin , eds., pp. 2045 – 2050 , Chichester , UK : Wiley .
   Google Scholar
• Reynolds , M. R. , Jr. and Stoumbos , Z. G. ( 2008 ). Combinations of Multivariate Shewhart and MEWMA Control Charts for Monitoring the Mean Vector and Covariance Matrix , Journal of Quality Technology 40 : 381 – 393 .
   Web of Science ®Google Scholar
• Reynolds , M. R. , Jr. and Stoumbos , Z. G. ( 2010 ). Multivariate Monitoring of the Process Mean and Variability Using Combinations of Shewhart and MEWMA Control Charts , in Frontiers in Statistical Quality Control 9 , H.-J. Lenz , P.-T. Wilrich , and W. Schmid , eds., pp. 37 – 54 , Berlin : Springer-Verlag .
   Google Scholar
• Reynolds , M. R. , Jr. , Amin , R. W. , and Arnold , J. C. ( 1990 ). CUSUM Charts with Variable Sampling Intervals , Technometrics 32 : 371 – 384 .
   Web of Science ®Google Scholar
• Reynolds , M. R. , Jr. , Amin , R. W. , Arnold , J. C. , and Nachlas , J. A. ( 1988 ). Charts with Variable Sampling Intervals , Technometrics 30 : 181 – 192 .
   Web of Science ®Google Scholar
• Runger , G. C. and Pignatiello , J. J. ( 1991 ). Adaptive Sampling for Process Control , Journal of Quality Technology 23 : 135 – 155 .
   Web of Science ®Google Scholar
• Shamma , S. E. and Amin , R. W. ( 1993 ). An EWMA Quality Control Procedure for Jointly Monitoring the Mean and Variance , International Journal of Quality and Reliability Management 10 : 58 – 67 .
   Google Scholar
• Stoumbos , Z. G. and Reynolds , M. R. , Jr. ( 1996 ). Control Charts Applying a General Sequential Test at Each Sampling Point , Sequential Analysis 15 : 159 – 183 .
   Google Scholar
• Stoumbos , Z. G. and Reynolds , M. R. , Jr. ( 1997 ). Control Charts Applying a Sequential Test at Fixed Sampling Intervals , Journal of Quality Technology 29 : 21 – 40 .
   Web of Science ®Google Scholar
• Stoumbos , Z. G. and Reynolds , M. R. , Jr. ( 2001 ). The SPRT Control Chart for the Process Mean with Samples Starting at Fixed Times , Nonlinear Analysis—Real-World Applications 2 : 1 – 34 .
   Web of Science ®Google Scholar
• Stoumbos , Z. G. and Reynolds , M. R. , Jr. ( 2005 ). Economic Statistical Design of Adaptive Control Schemes for Monitoring the Mean and Variance: An Application to Analyzers , Nonlinear Analysis—Real-World Applications 6 : 817 – 844 .
   Web of Science ®Google Scholar
• Stoumbos , Z. G. , Mittenthal , J. , and Runger , G. C. ( 2001 ). Steady-State-Optimal Adaptive Control Charts Based on Variable Sampling Intervals , Stochastic Analysis and Applications 19 : 1025 – 1057 .
   Web of Science ®Google Scholar
• Tagaras , G. ( 1998 ). A Survey of Recent Developments in the Design of Adaptive Control Charts , Journal of Quality Technology 30 : 212 – 231 .
   Web of Science ®Google Scholar
• Wierda , S. J. ( 1994 ). Multivariate Statistical Process Control—Recent Results and Directions for Future Research , Statistica Neerlandica 48 : 147 – 168 .
   Google Scholar
• Yeh , A. B. , Lin , D. K. J. , Zhou , H. , and McGrath , R. N. ( 2006 ). Multivariate Control Charts for Monitoring the Covariance Matrix: a Review , Quality Technology and Quantitative Management 3 : 415 – 436 .
   Google Scholar
• Zhang , S. and Wu , Z. ( 2006 ). Monitoring the Process Mean and Variance Using a Weighted Loss Function CUSUM Scheme with Variable Sampling Intervals , IIE Transactions 38 : 377 – 387 .
   Web of Science ®Google Scholar
• Recommended by Hock Peng Chan
   Google Scholar