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Volumn 33, Issue 4, 2005, Pages 1580-1616

Contour regression: A general approach to dimension reduction

Author keywords

Central subspace; Data visualization; Empirical directions; Nonparametric regression; PCA

Indexed keywords


EID: 26444566340     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/009053605000000192     Document Type: Article
Times cited : (265)

References (23)
  • 1
    • 0041611455 scopus 로고    scopus 로고
    • Sufficient dimension reduction and graphics in regression
    • CHIAROMONTE, F. and COOK, R. D. (2002). Sufficient dimension reduction and graphics in regression. Ann. Inst. Statist. Math. 54 768-795.
    • (2002) Ann. Inst. Statist. Math. , vol.54 , pp. 768-795
    • Chiaromonte, F.1    Cook, R.D.2
  • 2
    • 0036278223 scopus 로고    scopus 로고
    • Sufficient dimension reduction in regressions with categorical predictors
    • CHIAROMONTE, F., COOK, R. D. and LI, B. (2002). Sufficient dimension reduction in regressions with categorical predictors. Ann. Statist. 30 475-497.
    • (2002) Ann. Statist. , vol.30 , pp. 475-497
    • Chiaromonte, F.1    Cook, R.D.2    Li, B.3
  • 3
    • 0012390848 scopus 로고
    • Using dimension reduction subspaces to identify important inputs in models of physical systems
    • Amer. Statist. Assoc., Alexandria, VA
    • COOK, R. D. (1994). Using dimension reduction subspaces to identify important inputs in models of physical systems. In Proc. Section on Physical and Engineering Sciences 18-25. Amer. Statist. Assoc., Alexandria, VA.
    • (1994) Proc. Section on Physical and Engineering Sciences , pp. 18-25
    • Cook, R.D.1
  • 5
    • 0036284461 scopus 로고    scopus 로고
    • Dimension reduction for conditional mean in regression
    • COOK, R. D. and LI, B. (2002). Dimension reduction for conditional mean in regression. Ann. Statist. 30 455-474.
    • (2002) Ann. Statist. , vol.30 , pp. 455-474
    • Cook, R.D.1    Li, B.2
  • 6
    • 21344494639 scopus 로고
    • Reweighting to achieve elliptically contoured covariates in regression
    • COOK, R. D. and NACHTSHEIM, C. J. (1994). Reweighting to achieve elliptically contoured covariates in regression. J. Amer. Statist. Assoc. 89 592-599.
    • (1994) J. Amer. Statist. Assoc. , vol.89 , pp. 592-599
    • Cook, R.D.1    Nachtsheim, C.J.2
  • 7
    • 84881499895 scopus 로고
    • Discussion of "Sliced inverse regression for dimension reduction"
    • K.-C. Li
    • COOK, R. D. and WEISBERG, S. (1991). Discussion of "Sliced inverse regression for dimension reduction," by K.-C. Li. J. Amer. Statist. Assoc. 86 328-332.
    • (1991) J. Amer. Statist. Assoc. , vol.86 , pp. 328-332
    • Cook, R.D.1    Weisberg, S.2
  • 8
    • 0002384709 scopus 로고
    • Conditional independence in statistical theory
    • |8] DAWID, A. P. (1979). Conditional independence in statistical theory (with discussion). J. Roy. Statist. Soc. Ser. B 41 1-31.
    • (1979) J. Roy. Statist. Soc. Ser. B , vol.41 , pp. 1-31
    • Dawid, A.P.1
  • 9
    • 0000975683 scopus 로고
    • Slicing regression: A link-free regression method
    • DUAN, N. and LI, K.-C. (1991). Slicing regression: A link-free regression method. Ann. Statist. 19 505-530.
    • (1991) Ann. Statist. , vol.19 , pp. 505-530
    • Duan, N.1    Li, K.-C.2
  • 10
    • 0000804789 scopus 로고
    • The asymptotic distribution of singular values with application to canonical correlations and correspondence analysis
    • EATON, M. L. and TYLER, D. (1994). The asymptotic distribution of singular values with application to canonical correlations and correspondence analysis. J. Multivariate Anal. 50 238-264.
    • (1994) J. Multivariate Anal. , vol.50 , pp. 238-264
    • Eaton, M.L.1    Tyler, D.2
  • 11
    • 3042869574 scopus 로고
    • Local linear regression smoothers and their minimax efficiencies
    • FAN, J. (1993). Local linear regression smoothers and their minimax efficiencies. Ann. Statist. 21 196-216.
    • (1993) Ann. Statist. , vol.21 , pp. 196-216
    • Fan, J.1
  • 12
    • 0642314553 scopus 로고
    • Multicollinearity etc., some "new" examples
    • Amer. Statist. Assoc., Washington
    • FREUND, R. J. (1979). Multicollinearity etc., some "new" examples. ASA Proc. Statistical Computing Section 111-112. Amer. Statist. Assoc., Washington.
    • (1979) ASA Proc. Statistical Computing Section , pp. 111-112
    • Freund, R.J.1
  • 13
  • 14
    • 0242679764 scopus 로고    scopus 로고
    • Dimension reduction for the conditional mean in regressions with categorical predictors
    • LI, B., COOK, R. D. and CHIAROMONTE, F. (2003). Dimension reduction for the conditional mean in regressions with categorical predictors. Ann. Statist. 31 1636-1668.
    • (2003) Ann. Statist. , vol.31 , pp. 1636-1668
    • Li, B.1    Cook, R.D.2    Chiaromonte, F.3
  • 15
    • 84945116550 scopus 로고
    • Sliced inverse regression for dimension reduction
    • LI, K.-C. (1991). Sliced inverse regression for dimension reduction (with discussion). J. Amer. Statist. Assoc. 86 316-342.
    • (1991) J. Amer. Statist. Assoc. , vol.86 , pp. 316-342
    • Li, K.-C.1
  • 16
    • 84950441056 scopus 로고
    • On principal Hessian directions for data visualization and dimension reduction: Another application of Stein's lemma
    • LI, K.-C. (1992). On principal Hessian directions for data visualization and dimension reduction: Another application of Stein's lemma. J. Amer. Statist. Assoc. 87 1025-1039.
    • (1992) J. Amer. Statist. Assoc. , vol.87 , pp. 1025-1039
    • Li, K.-C.1
  • 17
    • 0001017987 scopus 로고
    • Regression analysis under link violation
    • LI, K.-C. and DUAN, N. (1989). Regression analysis under link violation. Ann. Statist. 17 1009-1052.
    • (1989) Ann. Statist. , vol.17 , pp. 1009-1052
    • Li, K.-C.1    Duan, N.2
  • 18
    • 0000570382 scopus 로고
    • On estimating regression
    • NADARAYA, E. A. (1964). On estimating regression. Theory Probab. Appl. 9 141-142.
    • (1964) Theory Probab. Appl. , vol.9 , pp. 141-142
    • Nadaraya, E.A.1
  • 19
    • 24344439109 scopus 로고
    • Characterizations of linear sufficient statistics
    • PETERS, B. C., JR., REDNER, R. and DECELL, H. P., JR. (1978). Characterizations of linear sufficient statistics. Sankhyā Ser. A 40 303-309.
    • (1978) Sankhyā Ser. A , vol.40 , pp. 303-309
    • Peters Jr., B.C.1    Redner, R.2    Decell Jr., H.P.3
  • 21
    • 0000388992 scopus 로고
    • Consistent nonparametric regression
    • STONE, C. J. (1977). Consistent nonparametric regression (with discussion). Ann. Statist. 5 595-645.
    • (1977) Ann. Statist. , vol.5 , pp. 595-645
    • Stone, C.J.1
  • 22
    • 0001762424 scopus 로고
    • Smooth regression analysis
    • WATSON, G. S. (1964). Smooth regression analysis. Sankhyā Ser. A 26 359-372.
    • (1964) Sankhyā Ser. A , vol.26 , pp. 359-372
    • Watson, G.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.