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Volumn 99, Issue 8, 2008, Pages 1733-1757

Successive direction extraction for estimating the central subspace in a multiple-index regression

Author keywords

62B05; 62H20; Dimension reduction subspaces; Permutation test; primary; Regression graphics; secondary; Sufficient dimension reduction

Indexed keywords


EID: 48749099148     PISSN: 0047259X     EISSN: 10957243     Source Type: Journal    
DOI: 10.1016/j.jmva.2008.01.006     Document Type: Article
Times cited : (179)

References (31)
  • 1
    • 0010629996 scopus 로고    scopus 로고
    • A semiparametric maximum likelihood estimator
    • Ai C. A semiparametric maximum likelihood estimator. Econometrica 65 (1997) 933-963
    • (1997) Econometrica , vol.65 , pp. 933-963
    • Ai, C.1
  • 3
    • 0036278223 scopus 로고    scopus 로고
    • Dimension reduction in regressions with categorical predictors
    • Chiaromonte F., Cook R.D., and Li B. Dimension reduction in regressions with categorical predictors. The Annals of Statistics 30 (2002) 475-497
    • (2002) The Annals of Statistics , vol.30 , pp. 475-497
    • Chiaromonte, F.1    Cook, R.D.2    Li, B.3
  • 7
    • 0442278036 scopus 로고    scopus 로고
    • Dimension reduction in regressions with a binary response
    • Cook R.D., and Lee H. Dimension reduction in regressions with a binary response. Journal of American Statistical Association 94 (1999) 1187-1200
    • (1999) Journal of American Statistical Association , vol.94 , pp. 1187-1200
    • Cook, R.D.1    Lee, H.2
  • 8
    • 0036284461 scopus 로고    scopus 로고
    • Dimension reduction for the conditional mean in regression
    • Cook R.D., and Li B. Dimension reduction for the conditional mean in regression. The Annals of Statistics 30 (2002) 455-474
    • (2002) The Annals of Statistics , vol.30 , pp. 455-474
    • Cook, R.D.1    Li, B.2
  • 9
    • 21644461782 scopus 로고    scopus 로고
    • Determining the dimension of iterative Hessian transformation
    • Cook R.D., and Li B. Determining the dimension of iterative Hessian transformation. The Annals of Statistics 32 (2004) 2501-2531
    • (2004) The Annals of Statistics , vol.32 , pp. 2501-2531
    • Cook, R.D.1    Li, B.2
  • 11
    • 20444454672 scopus 로고    scopus 로고
    • Sufficient dimension reduction via inverse regression: A minimum discrepancy approach
    • Cook R.D., and Ni L. Sufficient dimension reduction via inverse regression: A minimum discrepancy approach. Journal of the American Statistical Association 100 (2005) 410-428
    • (2005) Journal of the American Statistical Association , vol.100 , pp. 410-428
    • Cook, R.D.1    Ni, L.2
  • 13
    • 0033484637 scopus 로고    scopus 로고
    • Graphs in statistical analyses: Is the medium the message?
    • Cook R.D., and Weisberg S. Graphs in statistical analyses: Is the medium the message?. The American Statistician 53 (1999) 29-37
    • (1999) The American Statistician , vol.53 , pp. 29-37
    • Cook, R.D.1    Weisberg, S.2
  • 14
    • 0012657603 scopus 로고    scopus 로고
    • Dimension reduction and visualization in discriminant analysis (with discussion)
    • Cook R.D., and Yin X. Dimension reduction and visualization in discriminant analysis (with discussion). Australian & New Zealand Journal of Statistics 43 2 (2001) 147-199
    • (2001) Australian & New Zealand Journal of Statistics , vol.43 , Issue.2 , pp. 147-199
    • Cook, R.D.1    Yin, X.2
  • 17
    • 0041753016 scopus 로고
    • On almost linearity of low dimensional projections from high dimensional data
    • Hall P., and Li K.C. On almost linearity of low dimensional projections from high dimensional data. The Annals of Statistics 21 (1993) 867-889
    • (1993) The Annals of Statistics , vol.21 , pp. 867-889
    • Hall, P.1    Li, K.C.2
  • 18
    • 0002470428 scopus 로고
    • Investigating smooth multiple regression by the method of average derivatives
    • Härdle W., and Stoker T.M. Investigating smooth multiple regression by the method of average derivatives. Journal of the American Statistical Association 84 (1989) 986-995
    • (1989) Journal of the American Statistical Association , vol.84 , pp. 986-995
    • Härdle, W.1    Stoker, T.M.2
  • 20
    • 0035539851 scopus 로고    scopus 로고
    • Direct estimation of the index coefficient in a single-index model
    • Hristache M., Juditsky A., and Spokoiny V. Direct estimation of the index coefficient in a single-index model. The Annals of Statistics 29 (2001) 595-623
    • (2001) The Annals of Statistics , vol.29 , pp. 595-623
    • Hristache, M.1    Juditsky, A.2    Spokoiny, V.3
  • 21
    • 0003187405 scopus 로고
    • Semiparametric least squares (SLS) and weighted SLS estimation of single-index models
    • Ichimura H. Semiparametric least squares (SLS) and weighted SLS estimation of single-index models. Journal of Econometrics 58 (1993) 71-120
    • (1993) Journal of Econometrics , vol.58 , pp. 71-120
    • Ichimura, H.1
  • 22
    • 48749088727 scopus 로고    scopus 로고
    • D. Kalliers, R. Mattern, W. Härdle, Verhalten des EUROSID beim 90 grad seitenaufprall im vergleich zu PMTO sowie US-SID, HYBRID II und APROD, in: Forschungsvereinigung Automobiltechnik (FAT) Schriftenreihe, Frankfurt am Main, 1989
    • D. Kalliers, R. Mattern, W. Härdle, Verhalten des EUROSID beim 90 grad seitenaufprall im vergleich zu PMTO sowie US-SID, HYBRID II und APROD, in: Forschungsvereinigung Automobiltechnik (FAT) Schriftenreihe, Frankfurt am Main, 1989
  • 23
    • 84945116550 scopus 로고
    • Sliced inverse regression for dimension reduction (with discussion)
    • Li K.C. Sliced inverse regression for dimension reduction (with discussion). Journal of the American Statistical Association 86 (1991) 316-342
    • (1991) Journal of the American Statistical Association , vol.86 , pp. 316-342
    • Li, K.C.1
  • 24
    • 84950441056 scopus 로고
    • On principal Hessian directions for data visualization and dimension reduction: Another application of Stein's lemma
    • Li K.C. On principal Hessian directions for data visualization and dimension reduction: Another application of Stein's lemma. Journal of the American Statistical Association 87 (1992) 1025-1039
    • (1992) Journal of the American Statistical Association , vol.87 , pp. 1025-1039
    • Li, K.C.1
  • 25
    • 21144467148 scopus 로고
    • Exploring regression structure using nonparametric functional estimation
    • Samarov A.M. Exploring regression structure using nonparametric functional estimation. Journal of the American Statistical Association 88 (1993) 836-847
    • (1993) Journal of the American Statistical Association , vol.88 , pp. 836-847
    • Samarov, A.M.1
  • 26
  • 28
    • 48749084436 scopus 로고    scopus 로고
    • Y. Xia, A constructive approach to the estimation of dimension reduction directions. http://arxiv.org/abs/math/0701761, 2007
    • Y. Xia, A constructive approach to the estimation of dimension reduction directions. http://arxiv.org/abs/math/0701761, 2007
  • 29
    • 1142265318 scopus 로고    scopus 로고
    • Using the bootstrap to select one of a new class of dimension reduction methods
    • Ye Z., and Weiss R.E. Using the bootstrap to select one of a new class of dimension reduction methods. Journal of the American Statistical Association 98 (2003) 968-979
    • (2003) Journal of the American Statistical Association , vol.98 , pp. 968-979
    • Ye, Z.1    Weiss, R.E.2
  • 30
    • 21244477445 scopus 로고    scopus 로고
    • Direction estimation in single-index regression
    • Yin X., and Cook R.D. Direction estimation in single-index regression. Biometrika 92 (2005) 371-384
    • (2005) Biometrika , vol.92 , pp. 371-384
    • Yin, X.1    Cook, R.D.2
  • 31
    • 33846068932 scopus 로고    scopus 로고
    • Fourier methods for estimating the central subspace and the central mean subspace in regression
    • Zhu Y., and Zeng P. Fourier methods for estimating the central subspace and the central mean subspace in regression. Journal of American Statistical Association 101 (2006) 1638-1651
    • (2006) Journal of American Statistical Association , vol.101 , pp. 1638-1651
    • Zhu, Y.1    Zeng, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.