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Volumn 77, Issue 2, 2015, Pages 475-507

Multiple-change-point detection for high dimensional time series via sparsified binary segmentation

Author keywords

Binary segmentation; Cumulative sum statistic; High dimensional time series; Locally stationary wavelet model; Multiple change point detection; Thresholding

Indexed keywords


EID: 84993730671     PISSN: 13697412     EISSN: 14679868     Source Type: Journal    
DOI: 10.1111/rssb.12079     Document Type: Article
Times cited : (328)

References (33)
  • 1
    • 73949121215 scopus 로고    scopus 로고
    • Break detection in the covariance structure of multivariate time series models
    • Aue, A., Hörmann, S., Horváth, L. and Reimherr, M. (2009) Break detection in the covariance structure of multivariate time series models. Ann. Statist., 37, 4046-4087.
    • (2009) Ann. Statist. , vol.37 , pp. 4046-4087
    • Aue, A.1    Hörmann, S.2    Horváth, L.3    Reimherr, M.4
  • 3
    • 0031515592 scopus 로고    scopus 로고
    • Testing and locating variance change-points with application to stock prices
    • Chen, J. and Gupta, A. K. (1997) Testing and locating variance change-points with application to stock prices. J. Am. Statist. Ass., 92, 739-747.
    • (1997) J. Am. Statist. Ass. , vol.92 , pp. 739-747
    • Chen, J.1    Gupta, A.K.2
  • 4
    • 80051474495 scopus 로고    scopus 로고
    • Multiscale interpretation of taut string estimation and its connection to Unbalanced Haar wavelets
    • Cho, H. and Fryzlewicz, P. (2011) Multiscale interpretation of taut string estimation and its connection to Unbalanced Haar wavelets. Statist. Comput., 21, 671-681.
    • (2011) Statist. Comput. , vol.21 , pp. 671-681
    • Cho, H.1    Fryzlewicz, P.2
  • 5
    • 84858431431 scopus 로고    scopus 로고
    • Multiscale and multilevel technique for consistent segmentation of nonstationary time series
    • Cho, H. and Fryzlewicz, P. (2012) Multiscale and multilevel technique for consistent segmentation of nonstationary time series. Statist. Sin., 22, 207-229.
    • (2012) Statist. Sin. , vol.22 , pp. 207-229
    • Cho, H.1    Fryzlewicz, P.2
  • 6
    • 33645513464 scopus 로고    scopus 로고
    • Structural break estimation for non-stationary time series
    • Davis, R. A., Lee, T. C. M. and Rodriguez-Yam, G. A. (2006) Structural break estimation for non-stationary time series. J. Am. Statist. Ass., 101, 223-239.
    • (2006) J. Am. Statist. Ass. , vol.101 , pp. 223-239
    • Davis, R.A.1    Lee, T.C.M.2    Rodriguez-Yam, G.A.3
  • 7
    • 49549085281 scopus 로고    scopus 로고
    • Break detection for a class of nonlinear time series models
    • Davis, R. A., Lee, T. C. M. and Rodriguez-Yam, G. A. (2008) Break detection for a class of nonlinear time series models. J. Time Ser. Anal., 29, 834-867.
    • (2008) J. Time Ser. Anal. , vol.29 , pp. 834-867
    • Davis, R.A.1    Lee, T.C.M.2    Rodriguez-Yam, G.A.3
  • 8
    • 78650069723 scopus 로고    scopus 로고
    • A test for second-order stationarity of a time series based on the discrete Fourier transform
    • Dwivedi, Y. and Subba Rao, S. (2011) A test for second-order stationarity of a time series based on the discrete Fourier transform. J. Time Ser. Anal., 32, 68-91.
    • (2011) J. Time Ser. Anal. , vol.32 , pp. 68-91
    • Dwivedi, Y.1    Subba Rao, S.2
  • 9
    • 80051767239 scopus 로고    scopus 로고
    • Sparse high-dimensional models in economics
    • Fan, J., Lv, J. and Qi, L. (2011) Sparse high-dimensional models in economics. Ann. Rev. Econ., 3, 291-317.
    • (2011) Ann. Rev. Econ. , vol.3 , pp. 291-317
    • Fan, J.1    Lv, J.2    Qi, L.3
  • 10
    • 23044507598 scopus 로고    scopus 로고
    • Modelling and forecasting financial log-returns as locally stationary wavelet processes
    • Fryzlewicz, P. (2005) Modelling and forecasting financial log-returns as locally stationary wavelet processes. J. App. Statist., 32, 503-528.
    • (2005) J. App. Statist. , vol.32 , pp. 503-528
    • Fryzlewicz, P.1
  • 11
    • 84908219936 scopus 로고    scopus 로고
    • Wild Binary Segmentation for multiple change-point detection
    • to be published.
    • Fryzlewicz, P. (2014) Wild Binary Segmentation for multiple change-point detection. Ann. Statist., to be published.
    • (2014) Ann. Statist.
    • Fryzlewicz, P.1
  • 12
    • 33746216309 scopus 로고    scopus 로고
    • Haar-Fisz estimation of evolutionary wavelet spectra
    • Fryzlewicz, P. and Nason, G. (2006) Haar-Fisz estimation of evolutionary wavelet spectra. J. R. Statist. Soc. B, 68, 611-634.
    • (2006) J. R. Statist. Soc. B , vol.68 , pp. 611-634
    • Fryzlewicz, P.1    Nason, G.2
  • 13
    • 11144355355 scopus 로고    scopus 로고
    • Forecasting non-stationary time series by wavelet process modelling
    • Fryzlewicz, P., Van Bellegem, S. and von Sachs, R. (2003) Forecasting non-stationary time series by wavelet process modelling. Ann. Inst. Statist. Math., 55, 737-764.
    • (2003) Ann. Inst. Statist. Math. , vol.55 , pp. 737-764
    • Fryzlewicz, P.1    Vanbellegem, S.2    vonsachs, R.3
  • 14
    • 84874021075 scopus 로고    scopus 로고
    • Multivariate methods for monitoring structural change
    • Groen, J., Kapetanios, G. and Price, S. (2013) Multivariate methods for monitoring structural change. J. Multiv. Time Ser., 28, 250-274.
    • (2013) J. Multiv. Time Ser. , vol.28 , pp. 250-274
    • Groen, J.1    Kapetanios, G.2    Price, S.3
  • 15
    • 84862498943 scopus 로고    scopus 로고
    • Change-point detection in panel data
    • Horváth, L. and Hušková, M. (2012) Change-point detection in panel data. J. Time Ser. Anal., 33, 631-648.
    • (2012) J. Time Ser. Anal. , vol.33 , pp. 631-648
    • Horváth, L.1    Hušková, M.2
  • 16
    • 33749848531 scopus 로고
    • Use of cumulative sums of squares for retrospective detection of changes of variance
    • Inclán, C. and Tiao, G. C. (1994) Use of cumulative sums of squares for retrospective detection of changes of variance. J. Am. Statist. Ass., 89, 913-923.
    • (1994) J. Am. Statist. Ass. , vol.89 , pp. 913-923
    • Inclán, C.1    Tiao, G.C.2
  • 19
    • 0001342847 scopus 로고
    • On minimax estimation of a discontinuous signal
    • Korostelev, A. (1987) On minimax estimation of a discontinuous signal. Theor. Probab. Appl., 32, 727-730.
    • (1987) Theor. Probab. Appl. , vol.32 , pp. 727-730
    • Korostelev, A.1
  • 20
    • 0003074375 scopus 로고    scopus 로고
    • Least-squares estimation of an unknown number of shifts in a time series
    • Lavielle, M. and Moulines, E. (2000) Least-squares estimation of an unknown number of shifts in a time series. J. Time Ser. Anal., 21, 33-59.
    • (2000) J. Time Ser. Anal. , vol.21 , pp. 33-59
    • Lavielle, M.1    Moulines, E.2
  • 21
    • 33751270911 scopus 로고    scopus 로고
    • Detection of multiple change-points in multivariate time series
    • Lavielle, M. and Teyssière, G. (2006) Detection of multiple change-points in multivariate time series. Lith. Math. J., 46, 287-306.
    • (2006) Lith. Math. J. , vol.46 , pp. 287-306
    • Lavielle, M.1    Teyssière, G.2
  • 22
    • 12144287086 scopus 로고    scopus 로고
    • Nonstationarities in financial time series, the long-range dependence, and the IGARCH effects
    • Mikosch, T. and Stărică, C. (2004) Nonstationarities in financial time series, the long-range dependence, and the IGARCH effects. Rev. Econ. Statist., 86, 378-390.
    • (2004) Rev. Econ. Statist. , vol.86 , pp. 378-390
    • Mikosch, T.1    Stărică, C.2
  • 23
    • 84885852189 scopus 로고    scopus 로고
    • A test for second-order stationarity and approximate confidence intervals for localized autocovariances for locally stationary time series
    • Nason, G. P. (2013) A test for second-order stationarity and approximate confidence intervals for localized autocovariances for locally stationary time series. J. R. Statist. Soc. B, 75, 879-904.
    • (2013) J. R. Statist. Soc. B , vol.75 , pp. 879-904
    • Nason, G.P.1
  • 24
    • 0034354958 scopus 로고    scopus 로고
    • Wavelet processes and adaptive estimation of the evolutionary wavelet spectrum
    • Nason, G. P., von Sachs, R. and Kroisandt, G. (2000) Wavelet processes and adaptive estimation of the evolutionary wavelet spectrum. J. R. Statist. Soc. B, 62, 271-292.
    • (2000) J. R. Statist. Soc. B , vol.62 , pp. 271-292
    • Nason, G.P.1    von Sachs, R.2    Kroisandt, G.3
  • 27
    • 85012564551 scopus 로고    scopus 로고
    • Automatic statistical analysis of bivariate nonstationary time series
    • Ombao, H. C., Raz, J. A., von Sachs, R. and Malow, B. A. (2001) Automatic statistical analysis of bivariate nonstationary time series. J. Am. Statist. Ass., 96, 543-560.
    • (2001) J. Am. Statist. Ass. , vol.96 , pp. 543-560
    • Ombao, H.C.1    Raz, J.A.2    von Sachs, R.3    Malow, B.A.4
  • 28
    • 20444432356 scopus 로고    scopus 로고
    • SLEX analysis of multivariate nonstationary time series. J
    • Ombao, H., von Sachs, R. and Guo, W. (2005) SLEX analysis of multivariate nonstationary time series. J. Am. Statist. Ass., 100, 519-531.
    • (2005) Am. Statist. Ass. , vol.100 , pp. 519-531
    • Ombao, H.1    von Sachs, R.2    Guo, W.3
  • 29
    • 77952792812 scopus 로고    scopus 로고
    • Estimating linear dependence between non-stationary time series using the locally stationary wavelet model
    • Sanderson, J., Fryzlewicz, P. and Jones, M. (2010) Estimating linear dependence between non-stationary time series using the locally stationary wavelet model. Biometrika, 97, 435-446.
    • (2010) Biometrika , vol.97 , pp. 435-446
    • Sanderson, J.1    Fryzlewicz, P.2    Jones, M.3
  • 31
    • 85162047618 scopus 로고    scopus 로고
    • Fast detection of multiple change-points shared by many signals using group LARS
    • Vert, J. and Bleakley, K. (2010) Fast detection of multiple change-points shared by many signals using group LARS. Adv. Neur. Inform. Process. Syst., 23, 2343-2351.
    • (2010) Adv. Neur. Inform. Process. Syst. , vol.23 , pp. 2343-2351
    • Vert, J.1    Bleakley, K.2
  • 33
    • 33645035051 scopus 로고    scopus 로고
    • Model selection and estimation in regression with grouped variables
    • Yuan, M. and Lin, Y. (2006) Model selection and estimation in regression with grouped variables. J. R. Statist. Soc. B, 68, 49-67.
    • (2006) J. R. Statist. Soc. B , vol.68 , pp. 49-67
    • Yuan, M.1    Lin, Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.