Discussion on “Is Average Run Length to False Alarm Always an Informative Criterion?” by Yajun Mei

REFERENCES

• Baron , M. and Tartakovsky , A. G. ( 2006 ). Asymptotic Bayesian Change-Point Detection Theory for General Continuous-Time Models , Sequential Analysis 25 : 257 – 296 .
   Google Scholar
• Fuh , C. D. ( 2003 ). SPRT and CUSUM in Hidden Markov Models , Annals of Statistics 31 : 942 – 977 .
   Web of Science ®Google Scholar
• Fuh , C. D. ( 2004 ). Asymptotic Operating Characteristics of an Optimal Change Point Detection in Hidden Markov Models , Annals of Statistics 32 : 2305 – 2339 .
   Web of Science ®Google Scholar
• Lai , T. L. ( 1998 ). Information Bounds and Quick Detection of Parameter Changes in Stochastic Systems , IEEE Transactions on Information Theory 44 : 2917 – 2929 .
   Web of Science ®Google Scholar
• Moustakides , G. ( 2004 ). Optimality of the Cusum Procedure in Continuous Time , Annals of Statistics 32 : 302 – 315 .
   Web of Science ®Google Scholar
• Pollak , M. and Tartakovsky , A. G. ( 2008a ). Asymptotic Exponentiality of the Distribution of First Exit Times for a Class of Markov Processes with Applications to Quickest Change Detection , Theory of Probability and Its Applications 52 , in press .
   Google Scholar
• Pollak , M. and Tartakovsky , A. G. ( 2008b ). Optimality Properties of the Shiryaev–Roberts Procedure , Statistica Sinica , in press .
   Google Scholar
• Siegmund , D. ( 1985 ). Sequential Analysis: Tests and Confidence Intervals , New York : Springer-Verlag .
   Google Scholar
• Shiryaev , A. N. ( 1963 ). On Optimum Methods in Quickest Detection Problems , Theory of Probability and Its Applications 8 : 22 – 46 .
   Google Scholar
• Tartakovsky , A. G. (1998). Extended Asymptotic Optimality of Certain Change-Point Detection Procedures, Technical report/preprint, Center for Applied Mathematical Sciences, University of Southern California , Los Angeles.
   Google Scholar
• Tartakovsky , A. G. ( 2005 ). Asymptotic Performance of a Multichart CUSUM Test Under False Alarm Probability Constraint , Proceedings of 44th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC'05) , December 12–15, 2005 , pp. 320 – 325 , Seville , Spain , Omnipress CD-ROM, ISBN 0-7803-9568-9 .
   Google Scholar
• Tartakovsky , A. G. and Veeravalli , V. V. ( 2004 ). Change-Point Detection in Multichannel and Distributed Systems with Applications , in Applications of Sequential Methodologies , N. Mukhopadhyay , S. , Datta , and Chattopadhyay , S. , eds., pp. 339 – 370 , New York : Marcel Dekker .
   Google Scholar
• Tartakovsky , A. G. and Veeravalli , V. V. ( 2005 ). General Asymptotic Bayesian Theory of Quickest Change Detection , Theory of Probability and Its Applications 49 : 458 – 497 .
   Web of Science ®Google Scholar
• Tartakovsky , A. G. , Pollak , M. , and Polunchenko , A. ( 2008 ). Asymptotic Exponentiality of First Exit Times for Recurrent Markov Processes and Applications to Change-Point Detection, International Workhop on Applied Probability, July 7–10, 2008, Compiègne , France .
   Google Scholar
• Woodroofe , M. ( 1982 ). Nonlinear Renewal Theory in Sequential Analysis , Philadelphia : SIAM .
   Google Scholar
• Recommended by Nitis Mukhopadhyay
   Google Scholar