Publication Cover
Sequential Analysis
Design Methods and Applications
Volume 33, 2014 - Issue 3
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Original Articles

Detection of Changes of a Multinomial Process Where the Probability Structure Before and After the Change Is Unknown

Pages 421-433 | Received 07 Jan 2014, Accepted 28 Mar 2014, Published online: 12 Jun 2014

REFERENCES

  • Batsidis , A. , Hovath , L. , Martin , N. , Pardo , L. , and Zografos , K. ( 2013 ). Change-Point Detection in Multinomial Data Using Phi-Divergence Test Statistics , Journal of Multivariate Analysis 118 : 53 – 66 .
  • Brown , M. ( 2008 ). Monitoring a Poisson Process in Several Categories Subject to Changes in the Arrival Rates , Statistics and Probability Letters 78 : 2637 – 2643 .
  • Brown , M. ( 2011 ). Detection of Changes of Multiple Poisson Processes Monitored at Discrete Time Points Where the Arrival Rates Are Unknown , Sequential Analysis 30 : 280 – 296 .
  • Brown , M. ( 2012 ). Detection of Changes in Multinomial Data , International Journal of Statistics and Probability 1 : 96 – 102 .
  • Brown , M. and Zacks , S. ( 2006 ). Note on Optimal Stopping for Possible Change in the Intensity of an Ordinary Poisson Process , Statistics and Probability Letters 76 : 1417 – 1425 .
  • Chernoff , H. and Zacks , S. ( 1964 ). Estimating the Current Mean of a Normal Distribution Which Is Subjected to Changes in Time , Annals of Mathematical Statistics 35 : 999 – 1018 .
  • Cho , H. ( 2009 ). Statistical Identification in Multinomial Models with Sequential Sampling , American Journal of Management and Mathematical Sciences 29 : 139 – 156 .
  • Page , E. S. ( 1954 ). Continuous Inspection Schemes , Biometrika 41 : 100 – 114 .
  • Robbins , M. , Lund , R. B. , Gallagher , C. , and Lu , Q. ( 2011 ). Changepoints in the North Atlantic Tropical Cyclone Record , Journal of American Statistical Association 106 : 89 – 99 .
  • Shewhart , W. A. ( 1926 ). Quality Control Charts , Bell System Technical Journal 5 : 593 – 603 .
  • Shiryaev , A. N. ( 1978 ). Statistical Sequential Analysis: Optimal Stopping Rules , Translations of American Society 38 , Providence : American Mathematical Society .
  • Zacks , S. ( 1983 ). Survey of Classical and Bayesian Approaches to the Change-Point Problem: Fixed Sample and Sequential Procedures for Testing and Estimation , in Recent Advances in Statistics , M. H. Rizvi , J. Rastogi and D. Siegmund , eds., pp. 245 – 269 , New York : Academic Press .
  • Zacks , S. and Barzily , Z. ( 1981 ). Bayes Procedures for Detecting a Shift in the Probability of Success in a Series of Bernoulli Trials , Journal of Statistical Planning and Inference 5 : 107 – 119 .
  • Recommended by N. Mukhopadhyay

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