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Volumn 136, Issue 9, 2006, Pages 3101-3120

Guaranteed testing for epidemic changes of a linear regression model

Author keywords

Change point; CUSUM statistics; Epidemic alternative; Invariant statistics; Martingale structure; Maximum likelihood; Segmented linear regression; Shiryayev Roberts statistics

Indexed keywords


EID: 33646504134     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2004.11.010     Document Type: Article
Times cited : (15)

References (23)
  • 1
    • 0001652129 scopus 로고    scopus 로고
    • Multiple changepoint fitting via quasilikelihood, with application to DNA sequence segmentation
    • Braun J.V., Braun R.K., and Müller H.-G. Multiple changepoint fitting via quasilikelihood, with application to DNA sequence segmentation. Biometrika 87 (2000) 301-314
    • (2000) Biometrika , vol.87 , pp. 301-314
    • Braun, J.V.1    Braun, R.K.2    Müller, H.-G.3
  • 3
    • 0000473798 scopus 로고
    • Techniques for testing the constancy of regression relationships over time (with discussion)
    • Brown R.L., Durbin J., and Evans J.M. Techniques for testing the constancy of regression relationships over time (with discussion). J. Roy. Statist. Soc. B 37 (1975) 149-192
    • (1975) J. Roy. Statist. Soc. B , vol.37 , pp. 149-192
    • Brown, R.L.1    Durbin, J.2    Evans, J.M.3
  • 4
    • 23744453541 scopus 로고    scopus 로고
    • The sequential change point problem
    • Dragalin V.P. The sequential change point problem. Econom. Quality Control 12 (1997) 95-122
    • (1997) Econom. Quality Control , vol.12 , pp. 95-122
    • Dragalin, V.P.1
  • 5
    • 14044264842 scopus 로고    scopus 로고
    • Gurevich, G., Vexler, A., 2005. Change point problems in the model of logistic regression. J. Statist. Plann. Inference, in press.
  • 6
    • 0001028687 scopus 로고    scopus 로고
    • Sample splitting and threshold estimation
    • Hansen B.E. Sample splitting and threshold estimation. Econometrica 68 3 (2000) 575-603
    • (2000) Econometrica , vol.68 , Issue.3 , pp. 575-603
    • Hansen, B.E.1
  • 7
    • 33646522503 scopus 로고
    • Estimators for epidemic alternatives
    • Hušková M. Estimators for epidemic alternatives. Comment. Math. Univ. Carolinae. 36 2 (1995) 281-293
    • (1995) Comment. Math. Univ. Carolinae. , vol.36 , Issue.2 , pp. 281-293
    • Hušková, M.1
  • 8
    • 0040481291 scopus 로고    scopus 로고
    • Inference and estimation in a change point regression problem
    • Julious S.A. Inference and estimation in a change point regression problem. J. Roy. Statist. Soc. D 50 (2001) 51-61
    • (2001) J. Roy. Statist. Soc. D , vol.50 , pp. 51-61
    • Julious, S.A.1
  • 9
    • 0037211063 scopus 로고    scopus 로고
    • Asymptotics of M-estimators in two-phase linear regression models
    • Koul H.L., Qian L., and Surgailis D. Asymptotics of M-estimators in two-phase linear regression models. Stochastic Processes Appl. 103 (2003) 123-154
    • (2003) Stochastic Processes Appl. , vol.103 , pp. 123-154
    • Koul, H.L.1    Qian, L.2    Surgailis, D.3
  • 10
    • 1842331566 scopus 로고    scopus 로고
    • Segmented regression with errors in predictors. semi-parametric and parametric methods
    • Küchenhoff H., and Carroll R.J. Segmented regression with errors in predictors. semi-parametric and parametric methods. Statist. Med. 16 (1997) 169-188
    • (1997) Statist. Med. , vol.16 , pp. 169-188
    • Küchenhoff, H.1    Carroll, R.J.2
  • 11
    • 0001300222 scopus 로고
    • Sequential changepoint detection in quality control and dynamical systems
    • Lai T.L. Sequential changepoint detection in quality control and dynamical systems. J. Roy. Statist. Soc. B 57 4 (1995) 613-658
    • (1995) J. Roy. Statist. Soc. B , vol.57 , Issue.4 , pp. 613-658
    • Lai, T.L.1
  • 12
    • 0035976640 scopus 로고    scopus 로고
    • Comparison of several methods to test for the existence of a monotonic dose-response relationship in clinical and epidemiological studies
    • Leuraud K., and Benichou J.A. Comparison of several methods to test for the existence of a monotonic dose-response relationship in clinical and epidemiological studies. Statist. Med. 20 (2001) 3335-3351
    • (2001) Statist. Med. , vol.20 , pp. 3335-3351
    • Leuraud, K.1    Benichou, J.A.2
  • 13
    • 23744436154 scopus 로고    scopus 로고
    • Lorden, G., Pollak, M., 2005. Non-anticipating estimation applied to sequential analysis and changepoint detection. Ann. Statist. 33, in press.
  • 14
    • 33646510378 scopus 로고    scopus 로고
    • Petrov, V.V., 1975. Sums of Independent Random Variables. Springer, Heidelberg, Berlin, New York (translated from the Russian by A.A. Brown).
  • 15
    • 0010458140 scopus 로고
    • Average run lengths of an optimal method of detecting a change in distribution
    • Pollak M. Average run lengths of an optimal method of detecting a change in distribution. Ann. Statist. 15 (1987) 749-779
    • (1987) Ann. Statist. , vol.15 , pp. 749-779
    • Pollak, M.1
  • 16
    • 0012061816 scopus 로고
    • Sequential detection of a change in a normal mean when the initial value is unknown
    • Pollak M., and Siegmund D. Sequential detection of a change in a normal mean when the initial value is unknown. Ann. Statist. 19 (1991) 394-416
    • (1991) Ann. Statist. , vol.19 , pp. 394-416
    • Pollak, M.1    Siegmund, D.2
  • 17
    • 33646501593 scopus 로고    scopus 로고
    • Račkauskas, A., Suquet, C., 2003. Testing epidemic changes of infinite dimensional parameters. Pub. IRMA lille 60-VIII, preprint.
  • 18
    • 33646507163 scopus 로고    scopus 로고
    • Robbins, H., Siegmund, D., 1973. A class of stopping rules for testing parametric hypotheses. Proceedings of the Sixth Berkeley Symposium, Mathematics and Statistical Probability 4, University of California Press.
  • 20
    • 21844513835 scopus 로고
    • A note on the run length to false alarm of a change-point detection policy
    • Yakir B. A note on the run length to false alarm of a change-point detection policy. Ann. Statist. 23 (1995) 272-281
    • (1995) Ann. Statist. , vol.23 , pp. 272-281
    • Yakir, B.1
  • 21
    • 0033473629 scopus 로고    scopus 로고
    • Detecting a change in regression. first-order optimality
    • Yakir B., Krieger A.M., and Pollak M. Detecting a change in regression. first-order optimality. Ann. Statist. 27 (1999) 1896-1913
    • (1999) Ann. Statist. , vol.27 , pp. 1896-1913
    • Yakir, B.1    Krieger, A.M.2    Pollak, M.3
  • 22
    • 0000366933 scopus 로고
    • Tests for change-points with epidemic alternatives
    • Yao Q. Tests for change-points with epidemic alternatives. Biometrika 80 (1993) 179-191
    • (1993) Biometrika , vol.80 , pp. 179-191
    • Yao, Q.1
  • 23
    • 0141931984 scopus 로고    scopus 로고
    • stucchange. an R package for testing for structural change in linear regression models
    • Zeileis A., Leisch F., Hornik K., and Kleiber C. stucchange. an R package for testing for structural change in linear regression models. J. Stat. Software 7 (2002) 1-38
    • (2002) J. Stat. Software , vol.7 , pp. 1-38
    • Zeileis, A.1    Leisch, F.2    Hornik, K.3    Kleiber, C.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.