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Sequential Analysis
Design Methods and Applications
Volume 35, 2016 - Issue 2
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Original Articles

A decision theoretic approach to change point estimation for binomial CUSUM control charts

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Pages 238-253 | Received 21 Jul 2015, Accepted 05 Mar 2016, Published online: 27 Jun 2016

References

  • Assareh, H., Smith, I., and Mengersen, K. (2015). Change Point Detection in Risk Adjusted Control Charts, Statistical Methods in Medical Reasearch 24: 747–768.
  • Burr, W. I. (1979). Elementary Statistical Quality Control, New York: Dekker.
  • Casella, G. and Berger, R. L. (2002). Statistical Inference, Pacific Grove: Duxbury.
  • Duran, R. I. and Albin, S. L. (2009). Monitoring a Fraction with Easy and Reliable Settings of the False Alarm Rate, Quality and Reliability Engineering International 25: 1026–1043.
  • Efron, B. and Tibshirani, R. J. (1993). An Introduction to the Bootstrap, London: Chapman & Hall.
  • Emura, T., Chen, Y. H., and Chen, H. Y. (2012). Survival Prediction Based on Compound Covariate Under Cox Proportional Hazard Models, PLoS ONE 7: e47627. doi:10.1371/journal.pone.0047627.
  • Emura, T., Kao, F. S., and Michimae, H. (2014). An Improved Nonparametric Estimator of Sub-Distribution Function for Bivariate Competing Risk Models, Journal of Multivariate Analysis 132: 229–241.
  • Emura, T. and Lin, Y. S. (2015). A Comparison of Normal Approximation Rules for Attribute Control Charts, Quality and Reliability Enginerring International 31: 411–418.
  • Fuh, C. D. and Mei, Y. (2008). Optimal Stationary Binary Quantizer for Decentralized Quickest Change Detection in Hidden Markov Models, in Proceedings of 11th International Conference on IEEE Information Fusion, Cologne, France.
  • Grigg, O. A., Farewell, V. T., and Spiegelhalter, D. J. (2003). Use of Risk-Adjusted CUSUM and RSPRT Charts for Monitoring in Medical Contexts, Statistical Methods in Medical Research 12: 147–170.
  • Hawkins, D. M. and Olwell, D. H. (1998). Cumulative Sum Charts and Charting for Quality Improvement, New York: Wiley.
  • James, W. and Stein, C. (1961). Estimation with Quadratic Loss, in Proceedings of Fourth Berkeley Symposium on Mathematical Statistics and Probability, Vol. 1, pp. 361–379.
  • Khan, R. A. (1968). A Note on Estimating the Mean of a Normal Distribution with Known Coefficient of Variation, Journal of American Statistical Association 63: 1039–1041.
  • Khan, R. A. (2008). Distributional Properties of CUSUM Stopping Times, Sequential Analysis, 27: 420–434.
  • Khan, R. A. and Khan, M. K. (2004). On the Use of the SPRT in Determining the Properties of Some CUSUM Procedures, Sequential Analysis 23: 355–378.
  • Laheetharan, A. and Wijekoon, P. (2010). Improved Estimation of the Population Parameters When Some Additional Information Is Available, Statistical Papers 51: 889–914.
  • Montgomery, D. C. (2009). Introduction to Statistical Quality Control, New York: Wiley.
  • Page, E. S. (1954). Continuous Inspection Schemes, Biometrika 41: 100–114.
  • Perry, M. B. and Pignatiello, J. J. Jr. (2005). Estimation of the Change Point of the Process Fraction Nonconforming in SPC Applications, Interational Journal of Reliability Quality and Safety Engineering 12: 95–110.
  • Perry, M. B. and Pignatiello, J. J. Jr. (2008). A Change Point Model for the Location Parameter of Exponential Family Densities, IIE Transactions 40: 947–956.
  • Perry, M. B., Pignatiello, J. J. Jr., and Simpson, J. R. (2007). Estimating the Change Point of the Process Fraction Nonconforming with a Monotonic Change Disturbance in SPC, Quality and Reliability Engineering Inernational 23: 327–339.
  • Pignatiello, J. J. Jr. and Samuel, T. R. (2001). Identifying the Time of a Step-Change in the Process Fraction Nonconforming, Quality Engineering 13: 357–365.
  • Rossi, G., Sarto, S. D., and Marchi, M. A. (2014). New Risk-Adjusted Bernoulli Cumulative Sum Chart for Monitoring Binary Health Data. Statistical Methods in Medical Reasearch. doi:10.1177/0962280214530883.
  • Wald, A. (1947). Sequential Analysis, New York: Wiley.
  • Wang, H. (2009). Comparison of P Control Charts for Low Defective Rate, Computational Statistics & Data Analysis 53: 4210–4220.
  • Wencheko, E. and Wijekoon, P. (2005). Improved Estimation of the Mean in One-Parameter Exponential Families with Known Coefficient of Variation, Statistical Papers 46: 101–115.
  • Wetherill, G. B. and Brown, D. B. (1991). Statistical Process Control, Theory and Practice, London: Chapman and Hall.
  • Yang, S. F., Cheng, T. C., Hung, Y. C., and Cheng, S. W. (2011). A New Chart for Monitoring Service Process Mean, Quality and Reliability Engineering International 28: 377–386.

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