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Volumn 42, Issue 6, 2014, Pages 2243-2281

Wild binary segmentation for multiple change-point detection

Author keywords

Bayesian information criterion; Binary segmentation; Change point detection; Multiple change points; Randomised algorithms; Thresholding

Indexed keywords


EID: 84908219936     PISSN: 00905364     EISSN: 21688966     Source Type: Journal    
DOI: 10.1214/14-AOS1245     Document Type: Article
Times cited : (638)

References (55)
  • 1
    • 84884704177 scopus 로고    scopus 로고
    • Testing for multiple change points
    • MR3107296
    • ANTOCH, J. and JARUKOVÁ, D. (2013). Testing for multiple change points. Comput. Statist. 28 2161-2183. MR3107296
    • (2013) Comput. Statist. , vol.28 , pp. 2161-2183
    • Antoch, J.1    Jaruková, D.2
  • 2
    • 0024541195 scopus 로고
    • Algorithms for the optimal identification of segment neighborhoods
    • MR0978902
    • AUGER, I. E. and LAWRENCE, C. E. (1989). Algorithms for the optimal identification of segment neighborhoods. Bull. Math. Biol. 51 39-54. MR0978902
    • (1989) Bull. Math. Biol. , vol.51 , pp. 39-54
    • Auger, I.E.1    Lawrence, C.E.2
  • 3
    • 0031492060 scopus 로고    scopus 로고
    • Estimating multiple breaks one at a time
    • MR1455175
    • BAI, J. (1997). Estimating multiple breaks one at a time. Econometric Theory 13 315-352. MR1455175
    • (1997) Econometric Theory , vol.13 , pp. 315-352
    • Bai, J.1
  • 4
    • 0037286212 scopus 로고    scopus 로고
    • Computation and analysis of multiple structural change models
    • BAI, J. and PERRON, P. (2003). Computation and analysis of multiple structural change models. J. Appl. Econometrics 18 1-22.
    • (2003) J. Appl. Econometrics , vol.18 , pp. 1-22
    • Bai, J.1    Perron, P.2
  • 7
    • 65349195520 scopus 로고    scopus 로고
    • Consistencies and rates of convergence of jump-penalized least squares estimators
    • MR2488348
    • BOYSEN, L., KEMPE, A., LIEBSCHER, V., MUNK, A. and WITTICH, O. (2009). Consistencies and rates of convergence of jump-penalized least squares estimators. Ann. Statist. 37 157-183. MR2488348
    • (2009) Ann. Statist. , vol.37 , pp. 157-183
    • Boysen, L.1    Kempe, A.2    Liebscher, V.3    Munk, A.4    Wittich, O.5
  • 8
    • 0347503105 scopus 로고    scopus 로고
    • Statistical methods for DNA sequence segmentation
    • BRAUN, J. and MUELLER, H.-G. (1998). Statistical methods for DNA sequence segmentation. Statist. Sci. 13 142-162.
    • (1998) Statist. Sci. , vol.13 , pp. 142-162
    • Braun, J.1    Mueller, H.-G.2
  • 10
    • 84873652512 scopus 로고    scopus 로고
    • Detection with the scan and the average likelihood ratio
    • MR3076173
    • CHAN, H. P. and WALTHER, G. (2013). Detection with the scan and the average likelihood ratio. Statist. Sinica 23 409-428. MR3076173
    • (2013) Statist. Sinica , vol.23 , pp. 409-428
    • Chan, H.P.1    Walther, G.2
  • 11
    • 79960063261 scopus 로고    scopus 로고
    • Consistent multiple testing for change points
    • MR2819952
    • CHEN, K.-M., COHEN, A. and SACKROWITZ, H. (2011). Consistent multiple testing for change points. J. Multivariate Anal. 102 1339-1343. MR2819952
    • (2011) J. Multivariate Anal. , vol.102 , pp. 1339-1343
    • Chen, K.-M.1    Cohen, A.2    Sackrowitz, H.3
  • 12
    • 84922147366 scopus 로고    scopus 로고
    • Multiple change-point detection for high-dimensional time series via sparsified binary segmentation
    • To appear
    • CHO, H. and FRYZLEWICZ, P. (2014). Multiple change-point detection for high-dimensional time series via sparsified binary segmentation. J. R. Stat. Soc. Ser. B Stat. Methodol. To appear.
    • (2014) J. R. Stat. Soc. Ser. B Stat. Methodol
    • Cho, H.1    Fryzlewicz, P.2
  • 13
    • 80051474495 scopus 로고    scopus 로고
    • Multiscale interpretation of taut string estimation and its connection to unbalanced Haar wavelets
    • MR2826700
    • CHO, H. and FRYZLEWICZ, P. (2011). Multiscale interpretation of taut string estimation and its connection to unbalanced Haar wavelets. Stat. Comput. 21 671-681. MR2826700
    • (2011) Stat. Comput. , vol.21 , pp. 671-681
    • Cho, H.1    Fryzlewicz, P.2
  • 14
    • 84858431431 scopus 로고    scopus 로고
    • Multiscale and multilevel technique for consistent segmentation of nonstationary time series
    • MR2933173
    • CHO, H. and FRYZLEWICZ, P. (2012). Multiscale and multilevel technique for consistent segmentation of nonstationary time series. Statist. Sinica 22 207-229. MR2933173
    • (2012) Statist. Sinica , vol.22 , pp. 207-229
    • Cho, H.1    Fryzlewicz, P.2
  • 15
    • 79956189452 scopus 로고    scopus 로고
    • A general criterion to determine the number of change-points
    • MR2803773
    • CIUPERCA, G. (2011). A general criterion to determine the number of change-points. Statist. Probab. Lett. 81 1267-1275. MR2803773
    • (2011) Statist. Probab. Lett. , vol.81 , pp. 1267-1275
    • Ciuperca, G.1
  • 16
    • 84897571683 scopus 로고    scopus 로고
    • Model selection by LASSO methods in a change-point model
    • MR3188408
    • CIUPERCA, G. (2014). Model selection by LASSO methods in a change-point model. Statist. Papers 55 349-374. MR3188408
    • (2014) Statist. Papers , vol.55 , pp. 349-374
    • Ciuperca, G.1
  • 17
    • 0035608644 scopus 로고    scopus 로고
    • Local extremes, runs, strings and multiresolution
    • MR1833958
    • DAVIES, P. L. and KOVAC, A. (2001). Local extremes, runs, strings and multiresolution. Ann. Statist. 29 1-65. MR1833958
    • (2001) Ann. Statist. , vol.29 , pp. 1-65
    • Davies, P.L.1    Kovac, A.2
  • 18
    • 33645513464 scopus 로고    scopus 로고
    • Structural break estimation for nonstationary time series models
    • MR2268041
    • DAV I S, R. A., LEE, T. C. M. and RODRIGUEZ-YAM, G. A. (2006). Structural break estimation for nonstationary time series models. J. Amer. Statist. Assoc. 101 223-239. MR2268041
    • (2006) J. Amer. Statist. Assoc. , vol.101 , pp. 223-239
    • Dav, I.S.R.A.1    Lee, T.C.M.2    Rodriguez-Yam, G.A.3
  • 19
    • 0035592604 scopus 로고    scopus 로고
    • Multiscale testing of qualitative hypotheses
    • MR1833961
    • DÜMBGEN, L. and SPOKOINY, V. G. (2001). Multiscale testing of qualitative hypotheses. Ann. Statist. 29 124-152. MR1833961
    • (2001) Ann. Statist. , vol.29 , pp. 124-152
    • Dümbgen, L.1    Spokoiny, V.G.2
  • 22
    • 84908220300 scopus 로고    scopus 로고
    • Multiple-change-point detection for auto-regressive conditional heteroscedastic processes
    • FRYZLEWICZ, P. and SUBBA RAO, S. (2014). Multiple-change-point detection for auto-regressive conditional heteroscedastic processes. J. R. Stat. Soc. Ser. B Stat. Methodol. 76 903-924.
    • (2014) J. R. Stat. Soc. Ser. B Stat. Methodol. , vol.76 , pp. 903-924
    • Fryzlewicz, P.1    Subba Rao, S.2
  • 23
    • 38349077212 scopus 로고    scopus 로고
    • Unbalanced Haar technique for nonparametric function estimation
    • MR2412552
    • FRYZLEWICZ, P. (2007). Unbalanced Haar technique for nonparametric function estimation. J. Amer. Statist. Assoc. 102 1318-1327. MR2412552
    • (2007) J. Amer. Statist. Assoc. , vol.102 , pp. 1318-1327
    • Fryzlewicz, P.1
  • 24
    • 84859107188 scopus 로고    scopus 로고
    • Time-threshold maps: Using information from wavelet reconstructions with all threshold values simultaneously (with discussion
    • FRYZLEWICZ, P. (2012). Time-threshold maps: Using information from wavelet reconstructions with all threshold values simultaneously (with discussion). J. Korean Statist. Soc. 41 145-159.
    • (2012) J. Korean Statist. Soc. , vol.41 , pp. 145-159
    • Fryzlewicz, P.1
  • 25
    • 84908150720 scopus 로고    scopus 로고
    • Discussion contribution to 'Multiscale change-point inference' by Frick, Munk and Sieling
    • FRYZLEWICZ, P. (2014). Discussion contribution to 'Multiscale change-point inference' by Frick, Munk and Sieling. J. R. Stat. Soc. Ser. B Stat. Methodol. 76 547-548.
    • (2014) J. R. Stat. Soc. Ser. B Stat. Methodol. , vol.76 , pp. 547-548
    • Fryzlewicz, P.1
  • 26
    • 79960425522 scopus 로고    scopus 로고
    • Finding structure with randomness: Probabilistic algorithms for constructing approximate matrix decompositions
    • MR2806637
    • HALKO, N., MARTINSSON, P. G. and TROPP, J. A. (2011). Finding structure with randomness: Probabilistic algorithms for constructing approximate matrix decompositions. SIAM Rev. 53 217-288. MR2806637
    • (2011) SIAM Rev. , vol.53 , pp. 217-288
    • Halko, N.1    Martinsson, P.G.2    Tropp, J.A.3
  • 27
    • 84950646761 scopus 로고
    • The influence curve and its role in robust estimation
    • MR0362657
    • HAMPEL, F. R. (1974). The influence curve and its role in robust estimation. J. Amer. Statist. Assoc. 69 383-393. MR0362657
    • (1974) J. Amer. Statist. Assoc. , vol.69 , pp. 383-393
    • Hampel, F.R.1
  • 28
    • 78651322176 scopus 로고    scopus 로고
    • Multiple change-point estimation with a total variation penalty
    • MR2796565
    • HARCHAOUI, Z. and LÉVY-LEDUC, C. (2010). Multiple change-point estimation with a total variation penalty. J. Amer. Statist. Assoc. 105 1480-1493. MR2796565
    • (2010) J. Amer. Statist. Assoc. , vol.105 , pp. 1480-1493
    • Harchaoui, Z.1    Lévy-Leduc, C.2
  • 29
    • 0035648135 scopus 로고    scopus 로고
    • Permutation tests for multiple changes
    • MR1877077
    • HUKOVÁ, M. and SLABÝ, A. (2001). Permutation tests for multiple changes. Kybernetika (Prague) 37 605-622. MR1877077
    • (2001) Kybernetika (Prague) , vol.37 , pp. 605-622
    • Huková, M.1    Slabý, A.2
  • 31
    • 84871961490 scopus 로고    scopus 로고
    • Optimal detection of changepoints with a linear computational cost
    • MR3036418
    • KILLICK, R., FEARNHEAD, P. and ECKLEY, I. A. (2012). Optimal detection of changepoints with a linear computational cost. J. Amer. Statist. Assoc. 107 1590-1598. MR3036418
    • (2012) J. Amer. Statist. Assoc. , vol.107 , pp. 1590-1598
    • Killick, R.1    Fearnhead, P.2    Eckley, I.A.3
  • 34
    • 0001342847 scopus 로고
    • Minimax estimation of a discontinuous signal
    • KOROSTELËV, A. P. (1987). Minimax estimation of a discontinuous signal. Theory Probab. Appl. 32 727-730.
    • (1987) Theory Probab. Appl. , vol.32 , pp. 727-730
    • Korostelëv, A.P.1
  • 35
    • 0043137789 scopus 로고    scopus 로고
    • Detection of multiple changes in a sequence of dependent variables
    • MR1705601
    • LAVIELLE, M. (1999). Detection of multiple changes in a sequence of dependent variables. Stochastic Process. Appl. 83 79-102. MR1705601
    • (1999) Stochastic Process. Appl. , vol.83 , pp. 79-102
    • Lavielle, M.1
  • 36
    • 19844378139 scopus 로고    scopus 로고
    • Using penalized contrasts for the change-point problem
    • LAVIELLE, M. (2005). Using penalized contrasts for the change-point problem. Signal Processing 85 1501-1510.
    • (2005) Signal Processing , vol.85 , pp. 1501-1510
    • Lavielle, M.1
  • 37
    • 0003074375 scopus 로고    scopus 로고
    • Least-squares estimation of an unknown number of shifts in a time series
    • MR1766173
    • LAVIELLE, M. and MOULINES, E. (2000). Least-squares estimation of an unknown number of shifts in a time series. J. Time Series Anal. 21 33-59. MR1766173
    • (2000) J. Time Series Anal. , vol.21 , pp. 33-59
    • Lavielle, M.1    Moulines, E.2
  • 38
    • 13844315857 scopus 로고    scopus 로고
    • Detecting multiple change-points in the mean of Gaussian process by model selection
    • LEBARBIER, E. (2005). Detecting multiple change-points in the mean of Gaussian process by model selection. Signal Processing 85 717-736.
    • (2005) Signal Processing , vol.85 , pp. 717-736
    • Lebarbier, E.1
  • 39
    • 0011493112 scopus 로고
    • Estimating the number of change points in a sequence of independent normal, random variables
    • MR1369518
    • LEE, C.-B. (1995). Estimating the number of change points in a sequence of independent normal random variables. Statist. Probab. Lett. 25 241-248. MR1369518
    • (1995) Statist. Probab. Lett. , vol.25 , pp. 241-248
    • Lee, C.-B.1
  • 41
    • 84901769096 scopus 로고    scopus 로고
    • A nonparametric approach for multiple change point analysis of multivariate data
    • MR3180567
    • MATTESON, D. S. and JAMES, N. A. (2014). A nonparametric approach for multiple change point analysis of multivariate data. J. Amer. Statist. Assoc. 109 334-345. MR3180567
    • (2014) J. Amer. Statist. Assoc. , vol.109 , pp. 334-345
    • Matteson, D.S.1    James, N.A.2
  • 42
    • 78651448134 scopus 로고    scopus 로고
    • Efficient change point detection for genomic sequences of continuous measurements
    • MUGGEO, V. and ADELFIO, G. (2011). Efficient change point detection for genomic sequences of continuous measurements. Bioinformatics 27 161-166.
    • (2011) Bioinformatics , vol.27 , pp. 161-166
    • Muggeo, V.1    Adelfio, G.2
  • 43
    • 3543105225 scopus 로고    scopus 로고
    • Circular binary segmentation for the analysis of array-based DNA copy number data
    • OLSHEN, A., VENKATRAMAN, E. S., LUCITO, R. and WIGLER, M. (2004). Circular binary segmentation for the analysis of array-based DNA copy number data. Biostatistics 5 557-572.
    • (2004) Biostatistics , vol.5 , pp. 557-572
    • Olshen, A.1    Venkatraman, E.S.2    Lucito, R.3    Wigler, M.4
  • 44
    • 33749126802 scopus 로고    scopus 로고
    • Application of modified information criterion to multiple change point problems
    • MR2301636
    • PAN, J. and CHEN, J. (2006). Application of modified information criterion to multiple change point problems. J. Multivariate Anal. 97 2221-2241. MR2301636
    • (2006) J. Multivariate Anal. , vol.97 , pp. 2221-2241
    • Pan, J.1    Chen, J.2
  • 46
    • 69049110995 scopus 로고    scopus 로고
    • Properties and refinements of the fused lasso
    • MR2541451
    • RINALDO, A. (2009). Properties and refinements of the fused lasso. Ann. Statist. 37 2922-2952. MR2541451
    • (2009) Ann. Statist. , vol.37 , pp. 2922-2952
    • Rinaldo, A.1
  • 48
    • 33947133769 scopus 로고    scopus 로고
    • Maxima of discretely sampled random fields with an application to 'bubbles'
    • MR2307898
    • TAYLOR, J. E., WORSLEY, K. J. and GOSSELIN, F. (2007). Maxima of discretely sampled random fields, with an application to 'bubbles'. Biometrika 94 1-18. MR2307898
    • (2007) Biometrika , vol.94 , pp. 1-18
    • Taylor, J.E.1    Worsley, K.J.2    Gosselin, F.3
  • 51
    • 0002085217 scopus 로고
    • Detecting 'disorder' in multidimensional random processes
    • VOSTRIKOVA, L. (1981). Detecting 'disorder' in multidimensional random processes. Soviet Math. Dokl. 24 55-59.
    • (1981) Soviet Math. Dokl. , vol.24 , pp. 55-59
    • Vostrikova, L.1
  • 52
    • 0000999642 scopus 로고
    • Jump and sharp cusp detection by wavelets
    • MR1354236
    • WANG, Y. (1995). Jump and sharp cusp detection by wavelets. Biometrika 82 385-397. MR1354236
    • (1995) Biometrika , vol.82 , pp. 385-397
    • Wang, Y.1
  • 53
    • 52749084912 scopus 로고    scopus 로고
    • Simultaneous change point analysis and variable selection in a regression problem
    • MR2466557
    • WU, Y. (2008). Simultaneous change point analysis and variable selection in a regression problem. J. Multivariate Anal. 99 2154-2171. MR2466557
    • (2008) J. Multivariate Anal. , vol.99 , pp. 2154-2171
    • Wu, Y.1
  • 54
    • 33847378251 scopus 로고
    • Estimating the number of change-points via Schwarz' criterion
    • MR0919373
    • YAO, Y.-C. (1988). Estimating the number of change-points via Schwarz' criterion. Statist. Probab. Lett. 6 181-189. MR0919373
    • (1988) Statist. Probab. Lett. , vol.6 , pp. 181-189
    • Yao, Y.-C.1
  • 55
    • 0001460041 scopus 로고
    • Least-squares estimation of a step function
    • MR1175613
    • YAO, Y.-C. and AU, S. T. (1989). Least-squares estimation of a step function. Sankhya¯ Ser. A 51 370-381. MR1175613
    • (1989) Sankhya¯ Ser. A , vol.51 , pp. 370-381
    • Yao, Y.-C.1    Au, S.2


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