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Volumn 2005, Issue , 2005, Pages 320-325

Asymptotic performance of a multichart CUSUM test under false alarm probability constraint

Author keywords

Asymptotic optimality; Change point detection; False alarm probability; Multichart CUSUM test; Renewal theory; Sequential detection

Indexed keywords

ASYMPTOTIC OPTIMALITY; CHANGE-POINT DETECTION; FALSE ALARM PROBABILITY; MULTICHART CUSUM TEST; RENEWAL THEORY; SEQUENTIAL DETECTION;

EID: 33847199765     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2005.1582175     Document Type: Conference Paper
Times cited : (61)

References (25)
  • 3
    • 33746934958 scopus 로고
    • Optimality of a generalized CUSUM procedure in quickest detection problem
    • American Mathematical Society: Providence, Rhode Island
    • V.P. Dragalin, "Optimality of a generalized CUSUM procedure in quickest detection problem," In Statistics and Control of Random Processes: Proceedings of the Steklov Institute of Mathematics, Vol. 202, Issue 4, pp. 107-120, 1994. American Mathematical Society: Providence, Rhode Island.
    • (1994) Statistics and Control of Random Processes: Proceedings of the Steklov Institute of Mathematics , vol.202 , Issue.4 , pp. 107-120
    • Dragalin, V.P.1
  • 4
    • 0033349954 scopus 로고    scopus 로고
    • Multihypothesis sequential probability ratio tests, part I: Asymptotic optimality
    • V.P. Dragalin, A.G. Tartakovsky, and V.V. Veeravalli, "Multihypothesis sequential probability ratio tests, part I: asymptotic optimality," IEEE Trans. Inform. Theory, Vol. 45, pp. 2448-2461, 1999.
    • (1999) IEEE Trans. Inform. Theory , vol.45 , pp. 2448-2461
    • Dragalin, V.P.1    Tartakovsky, A.G.2    Veeravalli, V.V.3
  • 5
    • 0034588633 scopus 로고    scopus 로고
    • On the trial of intrusions into information systems
    • S. Kent, "On the trial of intrusions into information systems," IEEE Spectrum, Vol. 37, No. 12, pp. 52-56, 2000.
    • (2000) IEEE Spectrum , vol.37 , Issue.12 , pp. 52-56
    • Kent, S.1
  • 6
    • 33745402920 scopus 로고
    • Detecting changes in probabilities of a multi-component process
    • R.A. Khan, "Detecting changes in probabilities of a multi-component process," Sequential Analysis, Vol. 14, No. 4, pp. 375-388, 1995.
    • (1995) Sequential Analysis , vol.14 , Issue.4 , pp. 375-388
    • Khan, R.A.1
  • 7
    • 0032202049 scopus 로고    scopus 로고
    • Information bounds and quick detection of parameter changes in stochastic systems
    • T.L. Lai, "Information bounds and quick detection of parameter changes in stochastic systems," IEEE Trans. Inform. Theory, Vol. 4, pp. 2917-2929, 1998.
    • (1998) IEEE Trans. Inform. Theory , vol.4 , pp. 2917-2929
    • Lai, T.L.1
  • 8
    • 0001524507 scopus 로고
    • Procedures for reacting to a change in distribution
    • G. Lorden, "Procedures for reacting to a change in distribution," Ann. Math. Statist., Vol. 42, pp. 1897-1908, 1971.
    • (1971) Ann. Math. Statist , vol.42 , pp. 1897-1908
    • Lorden, G.1
  • 9
    • 0000317248 scopus 로고
    • Optimal stopping times for detecting changes in distributions
    • G.V. Moustakides, "Optimal stopping times for detecting changes in distributions," Ann. Statist., Vol. 14, pp. 1379-1387, 1986.
    • (1986) Ann. Statist , vol.14 , pp. 1379-1387
    • Moustakides, G.V.1
  • 10
    • 26844483539 scopus 로고    scopus 로고
    • Optimality of the CUSUM procedure in continuous time
    • G.V. Moustakides, "Optimality of the CUSUM procedure in continuous time," Ann. Statist., Vol. 32, pp. 302-315, 2004.
    • (2004) Ann. Statist , vol.32 , pp. 302-315
    • Moustakides, G.V.1
  • 11
    • 0002916530 scopus 로고
    • Continuous inspection schemes
    • E.S. Page, "Continuous inspection schemes," Biometrika, Vol. 41, pp. 100-115, 1954.
    • (1954) Biometrika , vol.41 , pp. 100-115
    • Page, E.S.1
  • 12
    • 0000783098 scopus 로고
    • Optimal detection of a change in distribution
    • M. Pollak, "Optimal detection of a change in distribution," Ann. Statist., Vol. 13, pp. 206-227, 1985.
    • (1985) Ann. Statist , vol.13 , pp. 206-227
    • Pollak, M.1
  • 13
    • 0030352449 scopus 로고    scopus 로고
    • Minimax optimality of the method of cumulative sum (cusum) in the case of continuous time
    • A.N. Shiryaev, "Minimax optimality of the method of cumulative sum (cusum) in the case of continuous time," Russian Math. Surveys, Vol. 51, No. 4, pp. 750-751, 1996.
    • (1996) Russian Math. Surveys , vol.51 , Issue.4 , pp. 750-751
    • Shiryaev, A.N.1
  • 16
    • 27144439689 scopus 로고
    • Asymptotically minimax multialternative sequential rule for disorder detection
    • American Mathematical Society: Providence, Rhode Island
    • A.G. Tartakovsky, "Asymptotically minimax multialternative sequential rule for disorder detection," In Statistics and Control of Random Processes: Proceedings of the Steklov Institute of Mathematics, Vol. 202, Issue 4, pp. 229-236, 1994. American Mathematical Society: Providence, Rhode Island.
    • (1994) Statistics and Control of Random Processes: Proceedings of the Steklov Institute of Mathematics , vol.202 , Issue.4 , pp. 229-236
    • Tartakovsky, A.G.1
  • 17
    • 0346500982 scopus 로고
    • Asymptotic properties of CUSUM and Shiryaev's procedures for detecting a change in a nonhomogeneous Gaussian process
    • A.G. Tartakovsky, "Asymptotic properties of CUSUM and Shiryaev's procedures for detecting a change in a nonhomogeneous Gaussian process," Mathematical Methods of Statistics, Vol. 4, pp. 389-404, 1995.
    • (1995) Mathematical Methods of Statistics , vol.4 , pp. 389-404
    • Tartakovsky, A.G.1
  • 18
    • 0000923134 scopus 로고    scopus 로고
    • Asymptotic optimality of certain multihypothesis sequential tests: Non-i.i.d. case
    • A.G. Tartakovsky, "Asymptotic optimality of certain multihypothesis sequential tests: non-i.i.d. case," Statistical Inference for Stochastic Processes, Vol. 1, No. 3, pp. 265-295, 1998.
    • (1998) Statistical Inference for Stochastic Processes , vol.1 , Issue.3 , pp. 265-295
    • Tartakovsky, A.G.1
  • 19
    • 33747018121 scopus 로고
    • Comparison of some sequential rules for detecting changes in distributions
    • A.G. Tartakovsky and I.A. Ivanova, "Comparison of some sequential rules for detecting changes in distributions," Problems of Information Transmission, Vol. 28, pp. 117-124, 1992.
    • (1992) Problems of Information Transmission , vol.28 , pp. 117-124
    • Tartakovsky, A.G.1    Ivanova, I.A.2
  • 20
    • 27144533043 scopus 로고    scopus 로고
    • An efficient sequential procedure for detecting changes in multichannel and distributed systems
    • Annapolis, Maryland
    • A.G. Tartakovsky and V.V. Veeravalli, "An efficient sequential procedure for detecting changes in multichannel and distributed systems," In Proceeding of the 5th International Conference on Information Fusion, Annapolis, Maryland, Vol. 1, pp. 41-48, 2002.
    • (2002) Proceeding of the 5th International Conference on Information Fusion , vol.1 , pp. 41-48
    • Tartakovsky, A.G.1    Veeravalli, V.V.2
  • 21
    • 27144525195 scopus 로고    scopus 로고
    • General asymptotic Bayesian theory of quickest change detection
    • A.G. Tartakovsky and V.V. Veeravalli, "General asymptotic Bayesian theory of quickest change detection," Theory Prob. Appl., Vol. 49, No. 3, pp. 538-582, 2004.
    • (2004) Theory Prob. Appl , vol.49 , Issue.3 , pp. 538-582
    • Tartakovsky, A.G.1    Veeravalli, V.V.2
  • 22
    • 33747009728 scopus 로고    scopus 로고
    • Change-point detection in multichannel and distributed systems with applications
    • N. Mukhopadhyay, S. Datta and S. Chattopadhyay, Eds, Marcel Dekker, Inc, New York, pp
    • A.G. Tartakovsky and V.V. Veeravalli, "Change-point detection in multichannel and distributed systems with applications," In Applications of Sequential Methodologies; N. Mukhopadhyay, S. Datta and S. Chattopadhyay, Eds.; Marcel Dekker, Inc., New York, pp. 339-370, 2004.
    • (2004) Applications of Sequential Methodologies , pp. 339-370
    • Tartakovsky, A.G.1    Veeravalli, V.V.2
  • 24
    • 0017022844 scopus 로고
    • A survey of design methods for failure detection in dynamical systems
    • A.S. Willsky, "A survey of design methods for failure detection in dynamical systems," Automatica, Vol. 12, pp. 601-611, 1976.
    • (1976) Automatica , vol.12 , pp. 601-611
    • Willsky, A.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.