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Volumn 27, Issue 1, 2008, Pages 68-77

Bayesian detection of changes of a poisson process monitored at discrete time points where the arrival rates are unknown

Author keywords

Bayesian stopping rules; Change point detection; Dynamic programming; Poisson processes; Risk; Unknown arrival rates

Indexed keywords

ARRIVAL RATES; BAYESIAN DETECTION; CHANGE POINT DETECTION; EARLY STOPPING; LOSS FUNCTIONS; NUMERICAL RESULTS; POISSON PROCESS; STOPPING RULE;

EID: 38949153708     PISSN: 07474946     EISSN: 15324176     Source Type: Journal    
DOI: 10.1080/07474940701801994     Document Type: Article
Times cited : (9)

References (14)
  • 1
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    • (2006) Probability and Statistics Letters , vol.76 , pp. 1417-1425
    • Brown, M.1    Zacks, S.2
  • 2
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    • On the Bayesian Detection of a Change in the Arrival Rate of a Poisson Process Monitored at Discrete Epochs
    • Brown, M. and Zacks, S. (2006b). On the Bayesian Detection of a Change in the Arrival Rate of a Poisson Process Monitored at Discrete Epochs, International Journal for Statistics and Systems 1: 1-13.
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    • Brown, M.1    Zacks, S.2
  • 3
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    • Estimating the Current Mean of a Normal Distribution Which is Subjected to Changes in Time
    • Chernoff, H. and Zacks, S. (1964). Estimating the Current Mean of a Normal Distribution Which is Subjected to Changes in Time, Annals of Mathematical Statistics 35: 999-1018.
    • (1964) Annals of Mathematical Statistics , vol.35 , pp. 999-1018
    • Chernoff, H.1    Zacks, S.2
  • 4
    • 4043050928 scopus 로고    scopus 로고
    • Optimal Detection of a Change Point in a Poisson Process for Different Observation Schemes
    • Herberts, T. and Jensen, U. (2004). Optimal Detection of a Change Point in a Poisson Process for Different Observation Schemes, Scandinavian Journal of Statistics 31: 347-366.
    • (2004) Scandinavian Journal of Statistics , vol.31 , pp. 347-366
    • Herberts, T.1    Jensen, U.2
  • 5
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    • Inference about the Change-Point in a Sequence of Binomial Variables
    • Hinkley, D. and Hinkley, E. (1970). Inference about the Change-Point in a Sequence of Binomial Variables, Biometrika 57: 477-488.
    • (1970) Biometrika , vol.57 , pp. 477-488
    • Hinkley, D.1    Hinkley, E.2
  • 6
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    • Test Procedures for Possible Changes in Parameters of Statistical Distributions Occurring at Unknown Time Points
    • Kander, Z. and Zacks, S. (1966). Test Procedures for Possible Changes in Parameters of Statistical Distributions Occurring at Unknown Time Points, Annals of Mathematical Statistics 37: 1196-1210.
    • (1966) Annals of Mathematical Statistics , vol.37 , pp. 1196-1210
    • Kander, Z.1    Zacks, S.2
  • 7
    • 0002916530 scopus 로고
    • Continuous Inspection Schemes
    • Page, E. S. (1954). Continuous Inspection Schemes, Biometrika 41: 100-114.
    • (1954) Biometrika , vol.41 , pp. 100-114
    • Page, E.S.1
  • 8
    • 1842806217 scopus 로고
    • Cumulative Sum Schemes Using Gouging
    • Page, E. S. (1962). Cumulative Sum Schemes Using Gouging, Technometrics 4: 97-109.
    • (1962) Technometrics , vol.4 , pp. 97-109
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  • 11
    • 0012068964 scopus 로고
    • Statistical Sequential Analysis: Optimal Stopping Rules
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    • Shiryaev, A. N. (1978). Statistical Sequential Analysis: Optimal Stopping Rules, in Translations of American Mathematical Society 38, Providence: American Mathematical Society, 149.
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  • 12
    • 0016768340 scopus 로고
    • A Bayesian Approach to Inference about a Change-Point in the Sequence of Random Variables
    • Smith, A. F. M. (1975). A Bayesian Approach to Inference about a Change-Point in the Sequence of Random Variables, Biometrika 62: 407-416.
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  • 13
    • 0002367537 scopus 로고
    • Survey of Classical and Bayesian Approaches to the Change-Point Problem: Fixed Sample and Sequential Procedures for Testing and Estimation
    • M H. Rizvi, J. Rastogi, and D. Siegmund, eds, pp, New York: Academic Press
    • Zacks, S. (1983). Survey of Classical and Bayesian Approaches to the Change-Point Problem: Fixed Sample and Sequential Procedures for Testing and Estimation, in Recent Advances in Statistics, M H. Rizvi, J. Rastogi, and D. Siegmund, eds., pp. 245-269, New York: Academic Press.
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  • 14
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    • Bayes Procedures for Detecting a Shift in the Probability of Success in a Series of Bernoulli Trials
    • Zacks, S. and Barzily, Z. (1981). Bayes Procedures for Detecting a Shift in the Probability of Success in a Series of Bernoulli Trials, Journal of Statistical Planning and Inference 5: 107-119.
    • (1981) Journal of Statistical Planning and Inference , vol.5 , pp. 107-119
    • Zacks, S.1    Barzily, Z.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.