Bayesian Detection of Changes of a Poisson Process Monitored at Discrete Time Points Where the Arrival Rates are Unknown

REFERENCES

• Brown , M. and Zacks , S. ( 2006a ). Note on Optimal Stopping for Possible Change in the Intensity of an Ordinary Polsson Process , Probability and Statistics Letters 76 : 1417 – 1425 .
   Web of Science ®Google Scholar
• Brown , M. and Zacks , S. ( 2006b ). On the Bayesian Detection of a Change in the Arrival Rate of a Poisson Process Monitored at Discrete Epochs , International Journal for Statistics and Systems 1 : 1 – 13 .
   Google Scholar
• 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 .
   Google Scholar
• Herberts , T. and Jensen , U. ( 2004 ). Optimal Detection of a Change Point in a Poisson Process for Different Observation Schemes , Scandinavian Journal of Statistics 31 : 347 – 366 .
   Web of Science ®Google Scholar
• Hinkley , D. and Hinkley , E. ( 1970 ). Inference about the Change-Point in a Sequence of Binomial Variables , Biometrika 57 : 477 – 488 .
   Web of Science ®Google Scholar
• Kander , Z. and Zacks , S. ( 1966 ). Test Procedures for Possible Changes in Parameters of Statistical Distributions Occurring at Unknown Time Points , Annals of Mathematical Statistics 37 : 1196 – 1210 .
   Google Scholar
• Page , E. S. ( 1954 ). Continuous Inspection Schemes , Biometrika 41 : 100 – 114 .
   Web of Science ®Google Scholar
• Page , E. S. ( 1962 ). Cumulative Sum Schemes Using Gouging , Technometrics 4 : 97 – 109 .
   Web of Science ®Google Scholar
• Peskir , G. and Shiryaev , A. N. ( 2002 ). Solving the Poisson Disorder Problem , in Advances in Finance and Stochastics: Essays in Honor of Dieter Sonderman , K. Sandmann and P. J. Schonbucher , eds., pp. 295 – 312 , New York : Springer .
   Google Scholar
• Shewhart , W. A. ( 1926 ). Quality Control Charts , Bell System Technical Journal 5 : 593 – 603 .
   Google Scholar
• Shiryaev , A. N. ( 1978 ). Statistical Sequential Analysis: Optimal Stopping Rules , in Translations of American Mathematical Society 38 , Providence : American Mathematical Society , 149 .
   Google Scholar
• Smith , A. F. M. ( 1975 ). A Bayesian Approach to Inference about a Change-Point in the Sequence of Random Variables , Biometrika 62 : 407 – 416 .
   Web of Science ®Google Scholar
• 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 .
   Google Scholar
• 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 .
   Web of Science ®Google Scholar
• Recommended by N. Mukhopadhyay
   Google Scholar