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Original Articles

A Fixed-Size Sample Strategy for the Sequential Detection and Isolation of Non-Orthogonal Alternatives

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Pages 176-192 | Received 03 Apr 2009, Accepted 08 Jul 2009, Published online: 17 May 2010

REFERENCES

  • Basseville , M. and Nikiforov , I. V. ( 1993 ). Detection of Abrupt Changes: Theory and Application , Englewood Cliffs , NJ : Prentice Hall .
  • Baygün , B. and Hero , A. O. ( 1995 ). Optimal Simultaneous Detection and Estimation under a False Alarm Constraint , IEEE Transactions on Information Theory 41 : 688 – 703 .
  • Casas , P. , Fillatre , L. , and Vaton , S. ( 2008 ). Robust and Reactive Traffic Engineering for Dynamic Traffic Demands, in Proceedings of Next Generation Internet Networks, Krakóv, Poland, April 28–30, pp. 69–76.
  • Dragalin , V. P. ( 1994 ). A Multi-Channel Change Point Problem, in Proceedings of the 3rd Umea-Würzburg Conference in Statistics, Umea, Sweden, pp. 97–108.
  • Dragalin , V. P. , Tartakovsky , A. G. , and Veeravalli , V. V. ( 1999 ). Multihypothesis Sequential Probability Ratio Tests, Part I: Asymptotic Optimality , IEEE Transactions on Information Theory 45 : 2448 – 2461 .
  • Ferguson , T. S. ( 1967 ). Mathematical Statistics: A Decision Theoretic Approach , New York : Academic Press .
  • Fillatre , L. and Nikiforov , I. ( 2007 ). Non-Bayesian Detection and Detectability of Anomalies from a Few Noisy Tomographic Projections , IEEE Transactions on Signal Processing 55 : 401 – 413 .
  • Fillatre , L. , Nikiforov , I. , Vaton , S. , and Casas , P. ( 2008 ). Sequential Non-Bayesian Network Traffic Flows Anomaly Detection and Isolation, in Proceedings of International Workshop on Applied Probability, Compiègne, France, July 7–10, pp. 1–6.
  • Ghosh , B. K. ( 1970 ). Sequential Tests of Statistical Hypotheses , Cambridge : Addison-Wesley .
  • Ghosh , B. K. and Sen , P. K. ( 1991 ). Handbook of Sequential Analysis , New York : Marcel Dekker .
  • Joshi , P. C. ( 1972 ). Some Slippage Tests of Mean for a Single Outlier in Linear Regression , Biometrika 59 : 109 – 120 .
  • Lai , T. L. ( 1995 ). Sequential Changepoint Detection in Quality Control and Dynamical Systems , Journal of Royal Statistical Society, Series B 57 : 613 – 658 .
  • Lai , T. L. ( 1998 ). Information Bounds and Quick Detection of Parameter Changes in Stochastic Systems , IEEE Transactions on Information Theory 44 : 2917 – 2929 .
  • Lai , T. L. ( 2000 ). Sequential Multiple Hypothesis Testing and Efficient Fault Detection-Isolation in Stochastic Systems , IEEE Transactions on Information Theory 46 : 595 – 608 .
  • Lorden , G. ( 1971 ). Procedures for Reacting to a Change in Distribution , Annals of Mathematical Statistics 42 : 1897 – 1908 .
  • Malladi , D. P. and Speyer , J. L. ( 1999 ). A Generalized Shiryayev Sequential Probability Ratio Test for Change Detection and Isolation , IEEE Transactions on Automatic Control 44 : 1522 – 1534 .
  • Moustakides , G. ( 1986 ). Optimal Procedures for Detecting Changes in Distributions , Annals of Statistics 14 : 1379 – 1387 .
  • Nikiforov , I. (1995). A Generalized Change Detection Problem, IEEE Transactions on Information Theory 41: 171–187.
  • Nikiforov , I. ( 1997 ). Two Strategies in the Problem of Change Detection and Isolation , IEEE Transactions on Information Theory 43 : 770 – 776 .
  • Nikiforov , I. ( 2000 ). A Simple Recursive Algorithm for Diagnosis of Abrupt Changes in Random Signals , IEEE Transactions on Information Theory 46 : 2740 – 2746 .
  • Nikiforov , I. ( 2003 ). A Lower Bound for the Detection/Isolation Delay in a Class of Sequential Tests , IEEE Transactions on Information Theory 49 : 3037 – 3046 .
  • Pelkowitz , L. and Schwartz , S. C. ( 1987 ). Asymptotically Optimum Sample Size for Quickest Detection , IEEE Transactions on Aerospace and Electronic Systems 23 : 263 – 272 .
  • Pollak , M. and Siegmund , D. ( 1975 ). Approximations to the Expected Sample Size of Certain Sequential Tests , Annals of Statistics 3 : 1267 – 1282 .
  • Shiryaev , A. N. ( 1961 ). The Problem of the Most Rapid Detection of a Disturbance in a Stationary Regime , Doklady Mathematics 2 : 795 – 799 .
  • Shiryaev , A. N. ( 1963a ). On Detection of Disorder in a Manufacturing Process II , Theory of Probability and Its Applications 8 : 402 – 413 .
  • Shiryaev , A. N. ( 1963b ). On Optimum Methods in Quickest Detection Problems , Theory of Probability and Its Applications 8 : 22 – 46 .
  • Tartakovsky , A. G. ( 1992 ). Efficiency of the Generalized Neyman–Pearson Test for Detecting Changes in a Multichannel System , Problems of Information Transmission 28 : 341 – 350 .
  • Tartakovsky , A. G. ( 2008 ). Multidecision Quickest Change-Point Detection: Previous Achievements and Open Problems , Sequential Analysis 27 : 201 – 231 .
  • Wald , A. ( 1947 ). Sequential Analysis , New York : Wiley .
  • Weisstein , E. W. ( 1999 ). CRC Concise Encyclopedia of Mathematics , Boca Raton , FL : Chapman & Hall .
  • Recommended by A. G. Tartakovsky

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