Sequential Change-Point Detection in State-Space Models

REFERENCES

• Banzal , R. K. and Papantoni-Kazakos , P. ( 1983 ). An Algorithm for Detecting a Change in a Stochastic Process , IEEE Transactions on Information Theory 20 : 709 – 723 .
   Google Scholar
• Basseville , M. and Nikiforov , I. ( 1993 ). Detection of Abrupt Changes: Theory and Applications , New York : Prentice-Hall .
   Google Scholar
• Bradley , R. C. ( 2005 ). Basic Properties of Strong Mixing Conditions. A Survey and Some Open Questions , Probability Surveys 2 : 107 – 144 .
   Google Scholar
• Brodsky , B. E. ( 2009 ). Sequential Detection of Change-Points in Linear Models , Sequential Analysis 28 : 1 – 28 .
   Google Scholar
• Brodsky , B. and Darkhovsky , B. ( 2000 ). Non-Parametric Statistical Diagnosis: Problems and Methods. Dordrecht: Kluwer.
   Google Scholar
• Brodsky , B. E. and Darkhovsky , B. S. ( 2005 ). Asymptotically Optimal Methods of Change-Point Detection for Composite Hypotheses , Journal of Statistical Planning and Inference 133 : 123 – 138 .
   Web of Science ®Google Scholar
• Brodsky , B. E. and Darkhovsky , B. S. ( 2008 ). Sequential Change-Point Detection for Mixing Random Sequences Under Composite Hypotheses , Statistical Inference for Stochastic Processes 11 : 35 – 54 .
   Google Scholar
• Chu , C. , Stinchcombe , M. , and White , H. ( 1996 ). Monitoring Structural Change , Econometrica 64 : 1045 – 1065 .
   Web of Science ®Google Scholar
• Dragalin , V. P. , Tartakovsky , A. , and Veeravalli , V. V. ( 1999 ). Multihypothesis Sequential Probability Ratio Tests, I: Asymptotic Optimality , IEEE Transactions in Information Theory 45 : 2448 – 2461 .
   Web of Science ®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
• Fuh , C. D. ( 2006 ). Efficient Likelihood Estimation in State-Space Models , Annals of Statistics 34 : 2026 – 2068 .
   Web of Science ®Google Scholar
• Girshick , M. A. and Rubin , H. ( 1952 ). A Bayes Approach to a Quality Control Model , Annals of Mathematical Statistics 23 : 114 – 125 .
   Google Scholar
• Horvath , L. , Huskova , M. , Kokoszka , P. , and Steinebach , J. ( 2004 ). Monitoring Changes in Linear Models , Journal of Statistical Planning and Inference 126 : 225 – 251 .
   Web of Science ®Google Scholar
• Horvath , L. , Kühn , M. , and Steinebach , J. ( 2008 ). On the Performance of the Fluctuation Test for Structural Change , Sequential Analysis 27 : 126 – 140 .
   Google Scholar
• Ibragimov , I. A. and Linnik , Yu. V. ( 1965 ). Independent and Stationary Dependent Variables , Moscow : Nauka .
   Google Scholar
• Khan , R. A. ( 1995 ). Detecting Changes in Probabilities of a Multi-Component Process , Sequential Analysis 14 : 375 – 388 .
   Google Scholar
• Lai , T. L. ( 1995 ). Sequential Change-Point Detection in Quality Control and Dynamical Systems , Journal of Royal Statistical Society, Series B 57 : 613 – 658 .
   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
• Lai , T. L. ( 2000 ). Sequential Multiple Hypothesis Testing and Efficient Fault Detection-Isolation in Stochastic Systems , IEEE Transactions on Information Theory 46 : 595 – 608 .
   Web of Science ®Google Scholar
• Lai , T. L. (2001). Sequential Analysis: Some Classical Problems and New Challenges, Statistica Sinica 11: 303–408.
   Web of Science ®Google Scholar
• Lai , T. L. and Shan , J. Z. ( 1999 ). Efficient Recursive Algorithms for Detection of Abrupt Changes in Signals and Control Systems , IEEE Transactions on Automatic Control 44 : 952 – 966 .
   Web of Science ®Google Scholar
• Lorden , G. ( 1971 ). Procedures for Reacting to a Change in Distribution , Annals of Mathematical Statistics 42 : 1897 – 1908 .
   Google Scholar
• Mei , Y. ( 2006 ). Sequential Change-Point Detection When Unknown Parameters are Present in the Pre-Change Distribution , Annals of Statistics 34 : 92 – 122 .
   Web of Science ®Google Scholar
• Moustakides , G. V. ( 1986 ). Optimal Stopping Times for Detecting Changes in Distribution , Annals of Statistics 14 : 1379 – 1387 .
   Web of Science ®Google Scholar
• Page , E. S. ( 1955 ). A Test for a Change in a Parameter Occuring at an Unknown Point , Biometrika 42 : 523 – 526 .
   Web of Science ®Google Scholar
• Petrov , V. V. ( 1987 ). Sums of Independent Random Variables , Moscow : Nauka .
   Google Scholar
• Pollak , M. ( 1985 ). Optimal Detection of a Change in Distribution , Annals of Statistics 13 : 206 – 227 .
   Web of Science ®Google Scholar
• Roberts , S. W. ( 1966 ). A Comparison of Some Control Chart Procedures , Technometrics 8 : 239 – 250 .
   Web of Science ®Google Scholar
• Shiryaev , A. N. ( 1961 ). Detection of Spontaneous Effects , Doklady Akademii Nauk SSSR 138 : 799 – 801 .
   Google Scholar
• Shiryaev , A. N. ( 1963 ). Optimal Methods in Sequential Change-Point Detection Problems , Probability Theory and Its Applications 8 : 26 – 51 .
   Google Scholar
• Shiryaev , A. N. ( 1996 ). Minimax Optimality of the CUSUM Method for Continuous Time , Advances of Mathematical Sciences 310 : 173 – 174 .
   Google Scholar
• Willsky , A. S. ( 1976 ). A Survey of Design Methods for Failure Detection in Dynamic Systems , Automatica 12 : 601 – 611 .
   Web of Science ®Google Scholar
• Willsky , A. S. and Jones , H. L. ( 1976 ). A Generalized Likelihood Ratio Approach to Detection and Estimation of Jumps in Linear Systems , IEEE Transactions on Automatic Control 21 : 108 – 112 .
   Web of Science ®Google Scholar
• Recommended by N. Mukhopadhyay
   Google Scholar