33
Views
80
CrossRef citations to date
0
Altmetric
Original Articles

Monitoring Processes That Wander Using Integrated Moving Average Models

Pages 139-151 | Published online: 12 Mar 2012

REFERENCES

  • Alwan , L. C. and Roberts , H. V. 1988 . “Time-Series Modeling for Statistical Process Control,” . Journal of Business & Economic Statistics , 6 : 87 – 95 .
  • Bagshaw , M. and Johnson , R. A. 1975 . “The Effect of Serial Correlation on the Performance of Cusum Tests, II,” . Technometrics , 17 : 73 – 80 .
  • Becker , R. A. , Chambers , J. M. and Wilks , A. R. 1988 . The New S Language: A Programming Environment for Data Analysis and Graphics Belmont , CA : Wadsworth. .
  • Box , G. E. P. and Jenkins , G. M. 1976 . Time Series Analysis: Forecasting and Control, , rev. ed. San Francisco : Holden-Day. .
  • Box , G. E. P. and Kramer , T. 1992 . “Statistical Process Monitoring and Feedback Adjustment—a Discussion,” . Technometrics , 34 : 393 – 399 .
  • Box , G. E. P. and Ramirez , J. 1992 . “Cumulative Score Charts,” . Quality and Reliability Engineering International , 8 : 17 – 27 .
  • Brook , D. and Evans , D. A. 1972 . “An Approach to the Probability Distribution of Cusum Run Lengths,” . Biometrika , 59 : 539 – 549 .
  • Brown , R. G. 1962 . Smoothing, Forecasting and Prediction of Discrete Time Series Englewood Cliffs , NJ : Prentice-Hall. .
  • Champ , C. W. and Rigdon , S. E. 1991 . “A Comparison of the Markov Chain and the Integral Equation Approaches for Evaluating the Run Length Distribution of Quality Control Charts,” . Communications in Statistics, Part B—Simulation and Computation , 20 : 191 – 204 .
  • Crowder , S. V. 1987 . “A Simple Method for Studying Run-Length Distributions of Exponentially Weighted Moving Average Charts,” . Technometrics , 29 : 401 – 407 .
  • Fuller , W. A. 1976 . Introduction to Statistical Time Series New York : John Wiley. .
  • Gan , F. F. 1991 . “An Optimal Design of CUSUM Quality Control Charts,” . Journal of Quality Technology , 23 : 279 – 286 .
  • Gardner , E. S. J. 1983 . “The Trade-offs in Choosing a Time Series Method,” . Journal of Forecasting , 2 : 263 – 267 .
  • Goel , A. L. and Wu , S. M. 1971 . “Determination of A.R.L. and a Contour Nomogram for Cusum Charts to Control Normal Mean,” . Technometrics , 13 : 221 – 230 .
  • Goldberg , S. 1958 . Introduction to Different Equations New York : John Wiley. .
  • Golder , E. R. and Settle , J. G. 1976 . “Monitoring Schemes in Short-term Forecasting,” . Operations Research Quarterly , 27 : 489 – 501 .
  • Goldsmith , P. L. and Whitfield , H. 1961 . “Average Run Lengths in Cumulative Chart Quality Control Schemes,” . Technometrics , 3 : 11 – 20 .
  • Harris , T. J. and Ross , W. H. 1991 . “Statistical Process Control Procedures for Correlated Observations,” . The Canadian Journal of Chemical Engineering , 69 : 48 – 57 .
  • Johnson , R. A. and Bagshaw , M. 1974 . “The Effect of Serial Correlation on the Performance of Cusum Tests,” . Technometrics , 16 : 103 – 112 .
  • Longnecker , M. T. and Ryan , T. P. 1992 . “Charting Correlated Process Data,” Texas A&M University, Dept. of Statistics. . Technical Report 166
  • Lu , C.-W. and Reynolds , M. R.J. 1994 . “Control Charts Based on Residuals for Monitoring Autocorrelated Processes,” Virginia Polytechnic Institute and State University, Dept. of Statistics. . Technical Report 94–8
  • Lucas , J. M. 1982 . “Combined Shewhart-CUSUM Quality Control Schemes,” . Journal of Quality Technology , 14 : 51 – 59 .
  • Lucas , J. M. and Crosier , R. B. 1982 . “Fast Initial Response for Cusum Quality-Control Schemes: Give Your Cusum a Head Start,” . Technometrics , 24 : 199 – 205 .
  • Lucas , J. M. and Saccucci , M. S. 1990 . “Exponentially Weighted Moving Average Control Schemes: Properties and Enhancements,” . Technometrics , 32 : 1 – 12 .
  • MacGregor , J. F. 1988 . “On-line Statistical Process Control,” . Chemical Engineering Progress , 84 : 2 – 31 .
  • Montgomery , D. C. and Friedman , D. J. 1989 . “Statistical Process Control in a Computer-Integrated Manufacturing Environment,”. ” . In Statistical Process Control in Automated Manufacturing Edited by: Keats , J. B. and Hubele , N. F. 67 – 87 . New York : Marcel-Dekker. .
  • Montgomery , D. C. and Mastrangelo , C. M. 1991 . “Some Statistical Process Control Methods for Autocorrelated Data,” . Journal of Quality Technology , 23 : 179 – 193 .
  • Page , E. 1954 . “Continuous Inspection Schemes,” . Biometrika , 41 : 100 – 115 .
  • Runger , G. C. 1995 . “Average Run Lengths for CUSUM Control Charts Applied to Residuals,” . Communications in Statistics—Theory and Methods , 5 : 273
  • Superville , C. R. and Adams , B. M. 1994 . “An Evaluation of Forecast-Based Quality Control Schemes,” . Communications in Statistics—Simulation and Computation , 23 : 645 – 661 .
  • Trigg , D. W. 1964 . “Monitoring a Forecasting System,” . Operations Research Quarterly , 15 : 271 – 325 .
  • Vander Wiel , S. A. 1994 . “Statistical Process Monitoring Using Integrated Moving Averages,” Murray Hill , NJ : AT&T Bell Laboratories. . technical report
  • Vander Wiel , S. A. , Tucker , W. T. , Faltin , F. W. and Doganaksoy , N. 1992 . “Algorithmic Statistical Process Control: Concepts and an Application,” . Technometrics , 34 : 286 – 297 .
  • Vasilopoulos , A. V. and Stamboulis , A. P. 1978 . “Modification of Control Chart Limits in the Presence of Data Correlation,” . Journal of Quality Technology , 10 : 20 – 30 .
  • Wardell , D. G. , Moskowitz , H. and Plante , R. D. 1992 . “Control Charts in the Presence of Data Correlation,” . Management Science , 38 : 1084 – 1105 .
  • Wardell , D. G. , Moskowitz , H. and Plante , R. D. 1994 . “Run Length Distributions of Special-Cause Control Charts for Correlated Processes,” . Technometrics , 36 : 3 – 17 .
  • Woodall , W. H. 1984 . “On the Markov Chain Approach to the Two-Sided CUSUM Procedure,” . Technometrics , 26 : 41 – 6 .
  • Yashchin , E. 1993 . “Performance of CUSUM Control Schemes for Serially Correlated Observations,” . Technometrics , 35 : 37 – 52 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.