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Volumn 26, Issue 6, 1998, Pages 2179-2205

Quickest detection with exponential penalty for delay

Author keywords

Change point problems; Exponential cost; Optimal stopping; Quickest detection

Indexed keywords


EID: 0032251245     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/aos/1024691466     Document Type: Article
Times cited : (62)

References (33)
  • 2
    • 0040273829 scopus 로고
    • Bayes problems in change-point models for the Wiener process
    • (E. Carlstein, H.-G. Müller and D. Siegmund, eds.) IMS, Hayward, CA
    • BEIBEL, M. (1994). Bayes problems in change-point models for the Wiener process. In Change Point Problems (E. Carlstein, H.-G. Müller and D. Siegmund, eds.) 1-6. IMS, Hayward, CA.
    • (1994) Change Point Problems , pp. 1-6
    • Beibel, M.1
  • 3
    • 0030367277 scopus 로고    scopus 로고
    • A note on Ritov's approach to the minimax property of the cusum procedure
    • BEIBEL, M. (1996). A note on Ritov's approach to the minimax property of the cusum procedure. Ann. Statist. 24 1804-1812.
    • (1996) Ann. Statist. , vol.24 , pp. 1804-1812
    • Beibel, M.1
  • 4
    • 0031508322 scopus 로고    scopus 로고
    • A new look at optimal stopping problems related to mathematical finance
    • BEIBEL, M. and LERCHE, H. R. (1997). A new look at optimal stopping problems related to mathematical finance. Statist. Sinica 7 93-108.
    • (1997) Statist. Sinica , vol.7 , pp. 93-108
    • Beibel, M.1    Lerche, H.R.2
  • 11
    • 0040329151 scopus 로고
    • Optimal stopping when the future is discounted
    • DUBINS, L. E. and TEICHER, H. (1967). Optimal stopping when the future is discounted. Ann. Math. Statist. 38 601-605.
    • (1967) Ann. Math. Statist. , vol.38 , pp. 601-605
    • Dubins, L.E.1    Teicher, H.2
  • 12
    • 0007255130 scopus 로고
    • Sequential decision problems for processes with continuous time parameter. Testing hypotheses
    • DVORETSKY, A., KIEFER, J. and WOLFOWITZ, J. (1953). Sequential decision problems for processes with continuous time parameter. Testing hypotheses. Ann. Math. Statist. 24 254-264.
    • (1953) Ann. Math. Statist. , vol.24 , pp. 254-264
    • Dvoretsky, A.1    Kiefer, J.2    Wolfowitz, J.3
  • 13
    • 0039008821 scopus 로고
    • Conditional boundary crossing probabilities with applications to change-point problems
    • JAMES, B., JAMES, K. L. and SIEGMUND, D. (1988). Conditional boundary crossing probabilities with applications to change-point problems. Ann. Probab. 16 825-839.
    • (1988) Ann. Probab. , vol.16 , pp. 825-839
    • James, B.1    James, K.L.2    Siegmund, D.3
  • 14
    • 0000781836 scopus 로고
    • Moments for first-passage and last-exit times, the minimum, and related quantities for random walks with positive drift
    • JANSON, S. (1986). Moments for first-passage and last-exit times, the minimum, and related quantities for random walks with positive drift. Adv. in Appl. Probab. 18 865-879.
    • (1986) Adv. in Appl. Probab. , vol.18 , pp. 865-879
    • Janson, S.1
  • 15
    • 0006340716 scopus 로고
    • Wald's approximations to the average run length in cusum procedures
    • KHAN, R. A. (1978). Wald's approximations to the average run length in cusum procedures. J. Statist. Plann. Inference 2 63-77.
    • (1978) J. Statist. Plann. Inference , vol.2 , pp. 63-77
    • Khan, R.A.1
  • 16
    • 0040787211 scopus 로고
    • Martingales related to cumulative sum tests and single-server queues
    • KENNEDY, D. P. (1976). Martingales related to cumulative sum tests and single-server queues. Stochastic Process. Appl. 4 261-269.
    • (1976) Stochastic Process. Appl. , vol.4 , pp. 261-269
    • Kennedy, D.P.1
  • 18
    • 0040192743 scopus 로고
    • Formulas for stopped diffusion processes with stopping times based on the maximum
    • LEHOCZKY, J. P. (1977). Formulas for stopped diffusion processes with stopping times based on the maximum. Ann. Probab. 5 601-607.
    • (1977) Ann. Probab. , vol.5 , pp. 601-607
    • Lehoczky, J.P.1
  • 19
    • 0001524507 scopus 로고
    • Procedures for reacting to a change in distribution
    • LORDEN, G. (1971). Procedures for reacting to a change in distribution. Ann. Math. Statist. 42 1897-1908.
    • (1971) Ann. Math. Statist. , vol.42 , pp. 1897-1908
    • Lorden, G.1
  • 20
    • 0000317248 scopus 로고
    • Optimal stopping times for detecting changes in distributions
    • MOUSTAKIDES, G. B. (1986). Optimal stopping times for detecting changes in distributions. Ann. Statist. 14 1379-1387.
    • (1986) Ann. Statist. , vol.14 , pp. 1379-1387
    • Moustakides, G.B.1
  • 22
    • 0002916530 scopus 로고
    • Continuous inspection schemes
    • PAGE, E. S. (1954). Continuous inspection schemes. Biometrika 41 100-115.
    • (1954) Biometrika , vol.41 , pp. 100-115
    • Page, E.S.1
  • 23
    • 0039601508 scopus 로고
    • The general discrete time disorder problem
    • PELKOWITZ, L. (1987). The general discrete time disorder problem. Stochastics 20 89-110.
    • (1987) Stochastics , vol.20 , pp. 89-110
    • Pelkowitz, L.1
  • 24
    • 0016473197 scopus 로고
    • Approximations to the average run length in cumulative sum control charts
    • REYNOLDS, M. R., JR. (1975). Approximations to the average run length in cumulative sum control charts. Technometrics 17 65-71.
    • (1975) Technometrics , vol.17 , pp. 65-71
    • Reynolds M.R., Jr.1
  • 25
    • 0001031433 scopus 로고
    • Decision theoretic optimality of the cusum procedure
    • RITOV, Y. (1990). Decision theoretic optimality of the cusum procedure. Ann. Statist. 18 1464-1469.
    • (1990) Ann. Statist. , vol.18 , pp. 1464-1469
    • Ritov, Y.1
  • 26
    • 0039601507 scopus 로고
    • An extension of Wald's Lemma
    • ROBBINS, H. E. and SAMUEL, E. (1966). An extension of Wald's Lemma. J. Appl. Probab. 3 272-273.
    • (1966) J. Appl. Probab. , vol.3 , pp. 272-273
    • Robbins, H.E.1    Samuel, E.2
  • 27
    • 0002196122 scopus 로고
    • On optimum methods in quickest detection problems
    • SHIRYAYEV, A. N. (1963). On optimum methods in quickest detection problems. Theory Probab. Appl. 8 22-46.
    • (1963) Theory Probab. Appl. , vol.8 , pp. 22-46
    • Shiryayev, A.N.1
  • 31
    • 0039008804 scopus 로고
    • A stopped Brownian motion formula
    • TAYLOR, H. M. (1975). A stopped Brownian motion formula. Ann. Probab. 3 234-246.
    • (1975) Ann. Probab. , vol.3 , pp. 234-246
    • Taylor, H.M.1
  • 33
    • 0030354991 scopus 로고    scopus 로고
    • Dynamic sampling policy for detecting a change in distribution, with a probability bound on false alarm
    • YAKIR, B. (1996). Dynamic sampling policy for detecting a change in distribution, with a probability bound on false alarm. Ann. Statist. 24 2199-2214.
    • (1996) Ann. Statist. , vol.24 , pp. 2199-2214
    • Yakir, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.