메뉴 건너뛰기




Volumn 81, Issue 1, 2013, Pages 134-150

A review on dimension reduction

Author keywords

Dimension reduction; Double robustness; Efficiency bound; Estimating equation; Linearity condition; Sliced inverse regression; Sufficient dimension reduction

Indexed keywords


EID: 84875651600     PISSN: 03067734     EISSN: 17515823     Source Type: Journal    
DOI: 10.1111/j.1751-5823.2012.00182.x     Document Type: Article
Times cited : (197)

References (84)
  • 1
    • 73349108769 scopus 로고    scopus 로고
    • Sufficient dimension reduction and prediction in regressions
    • Adragni, K. & Cook, R.D. (2009). Sufficient dimension reduction and prediction in regressions. Philos. Trans. R. Soc., A, 367, 4385-4405.
    • (2009) Philos. Trans. R. Soc., A , vol.367 , pp. 4385-4405
    • Adragni, K.1    Cook, R.D.2
  • 2
    • 0031477519 scopus 로고    scopus 로고
    • A Gauss implementation of multivariate sliced inverse regression
    • Aragon, Y. (1997). A Gauss implementation of multivariate sliced inverse regression. Comput. Statist., 12, 355-372.
    • (1997) Comput. Statist. , vol.12 , pp. 355-372
    • Aragon, Y.1
  • 4
    • 0000133998 scopus 로고
    • An analysis of transformations (with discussion)
    • Box, G.E.P. & Cox, D.R. (1964). An analysis of transformations (with discussion). J. R. Stat. Soc. Ser. B, 26, 211-252.
    • (1964) J. R. Stat. Soc. Ser. B , vol.26 , pp. 211-252
    • Box, G.E.P.1    Cox, D.R.2
  • 5
    • 0442280663 scopus 로고    scopus 로고
    • Extending sliced inverse regression: the weighted Chi-squared test
    • Bura, E. & Cook, R.D. (2001). Extending sliced inverse regression: the weighted Chi-squared test. J. Amer. Statist. Assoc., 96, 996-1003.
    • (2001) J. Amer. Statist. Assoc. , vol.96 , pp. 996-1003
    • Bura, E.1    Cook, R.D.2
  • 6
    • 77957756004 scopus 로고    scopus 로고
    • Dimension estimation in sufficient dimension reduction: a unifying approach
    • Bura, E. & Yang, J. (2011). Dimension estimation in sufficient dimension reduction: a unifying approach. J. Multivariate Anal., 102, 130-142.
    • (2011) J. Multivariate Anal. , vol.102 , pp. 130-142
    • Bura, E.1    Yang, J.2
  • 7
    • 34548275795 scopus 로고    scopus 로고
    • The Dantzig selector: statistical estimation when p is much larger than n (with discussion)
    • Candes, E. & Tao, T. (2007). The Dantzig selector: statistical estimation when p is much larger than n (with discussion). Ann. Statist., 35, 2313-2404.
    • (2007) Ann. Statist. , vol.35 , pp. 2313-2404
    • Candes, E.1    Tao, T.2
  • 8
    • 0032367227 scopus 로고    scopus 로고
    • Can SIR be as popular as multiple linear regression
    • Chen, C.H. & Li, K.C. (1998). Can SIR be as popular as multiple linear regression? Statist. Sinica, 8, 289-316.
    • (1998) Statist. Sinica , vol.8 , pp. 289-316
    • Chen, C.H.1    Li, K.C.2
  • 9
    • 21344476749 scopus 로고
    • On the interpretation of regression plots
    • Cook, R.D. (1994). On the interpretation of regression plots. J. Amer. Statist. Assoc., 89, 177-189.
    • (1994) J. Amer. Statist. Assoc. , vol.89 , pp. 177-189
    • Cook, R.D.1
  • 11
    • 15844416978 scopus 로고    scopus 로고
    • Testing predictor contributions in sufficient dimension reduction
    • Cook, R.D. (2004). Testing predictor contributions in sufficient dimension reduction. Ann. Statist., 32, 1062-1092.
    • (2004) Ann. Statist. , vol.32 , pp. 1062-1092
    • Cook, R.D.1
  • 12
    • 67649383322 scopus 로고    scopus 로고
    • Principal fitted components for dimension reduction in regression
    • Cook, R.D. & Forzani, L. (2008). Principal fitted components for dimension reduction in regression. Statist. Sci., 23, 485-501.
    • (2008) Statist. Sci. , vol.23 , pp. 485-501
    • Cook, R.D.1    Forzani, L.2
  • 13
    • 0442278036 scopus 로고    scopus 로고
    • Dimension reduction in binary response regression
    • Cook, R.D. & Lee, H. (1999). Dimension reduction in binary response regression. J. Amer. Statist. Assoc., 94, 1187-1200.
    • (1999) J. Amer. Statist. Assoc. , vol.94 , pp. 1187-1200
    • Cook, R.D.1    Lee, H.2
  • 14
    • 0036284461 scopus 로고    scopus 로고
    • Dimension reduction for conditional mean in regression
    • Cook, R.D. & 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
  • 15
    • 21644461782 scopus 로고    scopus 로고
    • Determining the dimension of iterative Hessian transformation
    • Cook, R.D. & Li, B. (2004). Determining the dimension of iterative Hessian transformation. Ann. Statist., 32, 2501-2531.
    • (2004) Ann. Statist. , vol.32 , pp. 2501-2531
    • Cook, R.D.1    Li, B.2
  • 16
    • 34548529252 scopus 로고    scopus 로고
    • Dimension reduction in regression without matrix inversion
    • Cook, R.D., Li, B. & Chiaromonte, F. (2007). Dimension reduction in regression without matrix inversion. Biometrika, 94, 569-584.
    • (2007) Biometrika , vol.94 , pp. 569-584
    • Cook, R.D.1    Li, B.2    Chiaromonte, F.3
  • 17
    • 78349232766 scopus 로고    scopus 로고
    • Envelope models for parsimonious and efficient multivariate liner regression
    • Cook, R.D., Li, B. & Chiaromonte, F. (2010). Envelope models for parsimonious and efficient multivariate liner regression. Statist. Sinica, 20, 927-1010.
    • (2010) Statist. Sinica , vol.20 , pp. 927-1010
    • Cook, R.D.1    Li, B.2    Chiaromonte, F.3
  • 18
    • 21344494639 scopus 로고
    • Reweighting to achieve elliptically contoured covariates in regression
    • Cook, R.D. & 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
  • 19
    • 20444454672 scopus 로고    scopus 로고
    • Sufficient dimension reduction via inverse regression: a minimum discrepancy approach
    • Cook, R.D. & Ni, L. (2005). Sufficient dimension reduction via inverse regression: a minimum discrepancy approach. J. Amer. Statist. Assoc., 100, 410-428.
    • (2005) J. Amer. Statist. Assoc. , vol.100 , pp. 410-428
    • Cook, R.D.1    Ni, L.2
  • 20
    • 0001659464 scopus 로고
    • Discussion of "Sliced inverse regression for dimension reduction"
    • Cook, R.D. & Weisberg, S. (1991). Discussion of "Sliced inverse regression for dimension reduction". J. Amer. Statist. Assoc., 86, 28-33.
    • (1991) J. Amer. Statist. Assoc. , vol.86 , pp. 28-33
    • Cook, R.D.1    Weisberg, S.2
  • 21
    • 0041743092 scopus 로고    scopus 로고
    • A model-free test for reduced rank in multivariate regression
    • Cook, R.D. & Setodji, C.M. (2003). A model-free test for reduced rank in multivariate regression. J. Amer. Statist. Assoc., 98, 340-351.
    • (2003) J. Amer. Statist. Assoc. , vol.98 , pp. 340-351
    • Cook, R.D.1    Setodji, C.M.2
  • 22
    • 0012657603 scopus 로고    scopus 로고
    • Dimension reduction and visualization in discriminant analysis (with discussion)
    • Cook, R. D. & Yin, X. (2001). Dimension reduction and visualization in discriminant analysis (with discussion). Aust. N. Z. J. Stat., 43, 147-199.
    • (2001) Aust. N. Z. J. Stat. , vol.43 , pp. 147-199
    • Cook, R.D.1    Yin, X.2
  • 23
    • 77952861561 scopus 로고    scopus 로고
    • Dimension reduction for non-elliptically distributed predictors: second-order moments
    • Dong, Y. & Li, B. (2010). Dimension reduction for non-elliptically distributed predictors: second-order moments. Biometrika, 97, 279-294.
    • (2010) Biometrika , vol.97 , pp. 279-294
    • Dong, Y.1    Li, B.2
  • 24
    • 0007188052 scopus 로고
    • A characterization of spherical distributions
    • Eaton, M.L. (1986). A characterization of spherical distributions. J. Multivariate Anal., 34, 439-446.
    • (1986) J. Multivariate Anal. , vol.34 , pp. 439-446
    • Eaton, M.L.1
  • 26
    • 1542784498 scopus 로고    scopus 로고
    • Variable selection via nonconcave penalized likelihood and its oracle properties
    • Fan, J. & Li, R. (2001). Variable selection via nonconcave penalized likelihood and its oracle properties. J. Amer. Statist. Assoc., 96, 1348-1360.
    • (2001) J. Amer. Statist. Assoc. , vol.96 , pp. 1348-1360
    • Fan, J.1    Li, R.2
  • 27
    • 53849086824 scopus 로고    scopus 로고
    • Sure independence screening for ultrahigh dimensional feature space (with discussion)
    • Fan, J. & Lv, J. (2008). Sure independence screening for ultrahigh dimensional feature space (with discussion). J. R. Stat. Soc. Ser. B, 70, 849-911.
    • (2008) J. R. Stat. Soc. Ser. B , vol.70 , pp. 849-911
    • Fan, J.1    Lv, J.2
  • 28
    • 0001400429 scopus 로고    scopus 로고
    • Estimation of conditional densities and sensitivity measures in nonlinear dynamical systems
    • Fan, J., Yao, Q. & Tong, H. (1996). Estimation of conditional densities and sensitivity measures in nonlinear dynamical systems. Biometrika, 83, 189-196.
    • (1996) Biometrika , vol.83 , pp. 189-196
    • Fan, J.1    Yao, Q.2    Tong, H.3
  • 29
    • 0036822251 scopus 로고    scopus 로고
    • Dimension reduction based on canonical correlation
    • Fung, W.K., He, X., Liu, L. & Shi, P. (2002). Dimension reduction based on canonical correlation. Statist. Sinica, 12, 1093-1113.
    • (2002) Statist. Sinica , vol.12 , pp. 1093-1113
    • Fung, W.K.1    He, X.2    Liu, L.3    Shi, P.4
  • 30
    • 0041753016 scopus 로고
    • On almost linearity of low dimensional projection from high dimensional data
    • Hall, P. & Li, K.C. (1993). On almost linearity of low dimensional projection from high dimensional data. Ann. Statist., 21, 867-889.
    • (1993) Ann. Statist. , vol.21 , pp. 867-889
    • Hall, P.1    Li, K.C.2
  • 32
    • 25844518492 scopus 로고    scopus 로고
    • A paradox concerning nuisance parameters and projected estimating functions
    • Henmi, M. & Eguchi, S. (2004). A paradox concerning nuisance parameters and projected estimating functions. Biometrika, 91, 929-941.
    • (2004) Biometrika , vol.91 , pp. 929-941
    • Henmi, M.1    Eguchi, S.2
  • 33
    • 29544445970 scopus 로고    scopus 로고
    • Dimension reduction in nonparametric kernel discriminant analysis
    • Hernández, A. & Velilla, S. (2005). Dimension reduction in nonparametric kernel discriminant analysis. J. Comput. Graph. Statist., 14, 847-866.
    • (2005) J. Comput. Graph. Statist. , vol.14 , pp. 847-866
    • Hernández, A.1    Velilla, S.2
  • 34
    • 0033423359 scopus 로고    scopus 로고
    • Nearest neighbor inverse regression
    • Hsing, T. (1999). Nearest neighbor inverse regression. Ann. Statist., 27, 697-731.
    • (1999) Ann. Statist. , vol.27 , pp. 697-731
    • Hsing, T.1
  • 35
    • 0003187405 scopus 로고
    • Semiparametric least squares (SLS) and weighted SLS estimation of single-index models
    • Ichimura, H. (1993). Semiparametric least squares (SLS) and weighted SLS estimation of single-index models. J. Econometrics, 58, 71-120.
    • (1993) J. Econometrics , vol.58 , pp. 71-120
    • Ichimura, H.1
  • 36
    • 68649110509 scopus 로고    scopus 로고
    • Dimension reduction for non-elliptically distributed predictors
    • Li, B. & Dong, Y. (2009). Dimension reduction for non-elliptically distributed predictors. Ann. Statist., 37, 1272-1298.
    • (2009) Ann. Statist. , vol.37 , pp. 1272-1298
    • Li, B.1    Dong, Y.2
  • 37
    • 35348849313 scopus 로고    scopus 로고
    • On directional regression for dimension reduction
    • Li, B. & Wang, S. (2007). On directional regression for dimension reduction. J. Amer. Statist. Assoc., 102, 997-1008.
    • (2007) J. Amer. Statist. Assoc. , vol.102 , pp. 997-1008
    • Li, B.1    Wang, S.2
  • 38
    • 54949122171 scopus 로고    scopus 로고
    • On a projective resampling method for dimension reduction with multivariate responses
    • Li, B., Wen, S.Q. & Zhu, L.X. (2008). On a projective resampling method for dimension reduction with multivariate responses. J. Amer. Statist. Assoc., 103, 1177-1186.
    • (2008) J. Amer. Statist. Assoc. , vol.103 , pp. 1177-1186
    • Li, B.1    Wen, S.Q.2    Zhu, L.X.3
  • 39
    • 26444566340 scopus 로고    scopus 로고
    • Contour regression: a general approach to dimension reduction
    • Li, B., Zha, H. & Chiaromonte, F. (2005). Contour regression: a general approach to dimension reduction. Ann. Statist., 33, 1580-1616.
    • (2005) Ann. Statist. , vol.33 , pp. 1580-1616
    • Li, B.1    Zha, H.2    Chiaromonte, F.3
  • 40
    • 77949541403 scopus 로고    scopus 로고
    • Confidence region for the direction in semi-parametric regressions
    • Li, G., Zhu, L.P. & Zhu, L.X. (2010). Confidence region for the direction in semi-parametric regressions. J. Multivariate Anal., 101, 1364-1377.
    • (2010) J. Multivariate Anal. , vol.101 , pp. 1364-1377
    • Li, G.1    Zhu, L.P.2    Zhu, L.X.3
  • 41
    • 34548540582 scopus 로고    scopus 로고
    • Partial inverse regression
    • Li, L.X., Cook, R.D. & Tsai, C.L. (2007). Partial inverse regression. Biometrika, 94, 615-625.
    • (2007) Biometrika , vol.94 , pp. 615-625
    • Li, L.X.1    Cook, R.D.2    Tsai, C.L.3
  • 42
    • 84945116550 scopus 로고
    • Sliced inverse regression for dimension reduction
    • Li, K.C. (1991). Sliced inverse regression for dimension reduction. J. Amer. Statist. Assoc., 86, 316-327.
    • (1991) J. Amer. Statist. Assoc. , vol.86 , pp. 316-327
    • Li, K.C.1
  • 43
    • 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
  • 45
    • 0001017987 scopus 로고
    • Regression analysis under link violation
    • Li, K.C. & Duan, N. (1991). Regression analysis under link violation. Ann. Statist., 17, 1009-1052.
    • (1991) Ann. Statist. , vol.17 , pp. 1009-1052
    • Li, K.C.1    Duan, N.2
  • 46
    • 73149086049 scopus 로고    scopus 로고
    • Contour projected dimension reduction
    • Luo, R., Wang, H. & Tsai, C.L. (2009). Contour projected dimension reduction. Ann. Statist., 37, 3743-3778.
    • (2009) Ann. Statist. , vol.37 , pp. 3743-3778
    • Luo, R.1    Wang, H.2    Tsai, C.L.3
  • 47
    • 78650356258 scopus 로고    scopus 로고
    • Explicit semiparametric estimators for generalized linear latent variable models
    • Ma, Y. & Genton, M.G. (2010). Explicit semiparametric estimators for generalized linear latent variable models. J. R. Stat. Soc. Ser. B, 72, 475-495.
    • (2010) J. R. Stat. Soc. Ser. B , vol.72 , pp. 475-495
    • Ma, Y.1    Genton, M.G.2
  • 48
    • 84862890233 scopus 로고    scopus 로고
    • A semiparametric approach to dimension reduction
    • Ma, Y. & Zhu, L. (2012a). A semiparametric approach to dimension reduction. J. Amer. Statist. Assoc., 107(497), 168-179.
    • (2012) J. Amer. Statist. Assoc. , vol.107 , Issue.497 , pp. 168-179
    • Ma, Y.1    Zhu, L.2
  • 49
    • 84875665192 scopus 로고    scopus 로고
    • Efficient estimation in sufficient dimension reduction
    • Ma, Y. & Zhu, L. (2012b). Efficient estimation in sufficient dimension reduction, Ann. Statist ., http://www.stat.tamu.edu/ma/papers/mz5.pdf.
    • (2012) Ann. Statist
    • Ma, Y.1    Zhu, L.2
  • 50
    • 84875653113 scopus 로고    scopus 로고
    • Efficiency loss caused by linearity condition in dimension reduction
    • Ma, Y. & Zhu, L. (2012c). Efficiency loss caused by linearity condition in dimension reduction, Biometrika, http://www.stat.tamu.edu/ma/papers/mz4.pdf.
    • (2012) Biometrika
    • Ma, Y.1    Zhu, L.2
  • 51
    • 0034354146 scopus 로고    scopus 로고
    • Partial least squares estimator for single-index models
    • Naik, P. & Tsai, C.L. (2000). Partial least squares estimator for single-index models. J. R. Stat. Soc. Ser. B, 62, 763-771.
    • (2000) J. R. Stat. Soc. Ser. B , vol.62 , pp. 763-771
    • Naik, P.1    Tsai, C.L.2
  • 52
    • 24344486105 scopus 로고    scopus 로고
    • Influence functions for sliced inverse regression
    • Prendergast, L.A. (2005). Influence functions for sliced inverse regression. Scand. J. Statist., 32, 385-404.
    • (2005) Scand. J. Statist. , vol.32 , pp. 385-404
    • Prendergast, L.A.1
  • 53
    • 34548532944 scopus 로고    scopus 로고
    • Implications of influence function analysis for sliced inverse regression and sliced average variance estimation
    • Prendergast, L.A. (2007). Implications of influence function analysis for sliced inverse regression and sliced average variance estimation. Biometrika, 94, 585-601.
    • (2007) Biometrika , vol.94 , pp. 585-601
    • Prendergast, L.A.1
  • 54
    • 23844501459 scopus 로고    scopus 로고
    • Asymptotics for pooled marginal slicing estimator based on SIR approach
    • Saracco, J. (2005). Asymptotics for pooled marginal slicing estimator based on SIR approach. J. Multivariate Anal., 96, 117-135.
    • (2005) J. Multivariate Anal. , vol.96 , pp. 117-135
    • Saracco, J.1
  • 55
    • 21344478847 scopus 로고
    • Determining the dimensionality in sliced inverse regression
    • Schott, J.R. (1994). Determining the dimensionality in sliced inverse regression. J. Amer. Statist. Assoc., 89, 141-148.
    • (1994) J. Amer. Statist. Assoc. , vol.89 , pp. 141-148
    • Schott, J.R.1
  • 56
    • 8344246982 scopus 로고    scopus 로고
    • K -means inverse regression
    • Setodji, C.M. & Cook, R.D. (2004). K -means inverse regression. Technometrics, 46, 421-429.
    • (2004) Technometrics , vol.46 , pp. 421-429
    • Setodji, C.M.1    Cook, R.D.2
  • 57
    • 0001287271 scopus 로고    scopus 로고
    • Regression shrinkage and selection via the Lasso
    • Tibshirani, R. (1996). Regression shrinkage and selection via the Lasso. J. R. Stat. Soc. Ser. B, 58, 267-288.
    • (1996) J. R. Stat. Soc. Ser. B , vol.58 , pp. 267-288
    • Tibshirani, R.1
  • 59
    • 0032338774 scopus 로고    scopus 로고
    • Assessing the number of linear components in a general regression problem
    • Velilla, S. (1998). Assessing the number of linear components in a general regression problem. J. Amer. Statist. Assoc., 93, 1088-1098.
    • (1998) J. Amer. Statist. Assoc. , vol.93 , pp. 1088-1098
    • Velilla, S.1
  • 60
    • 49549101089 scopus 로고    scopus 로고
    • Sliced regression for dimension reduction
    • Wang, H. & Xia, Y. (2008). Sliced regression for dimension reduction. J. Amer. Statist. Assoc., 103, 811-821.
    • (2008) J. Amer. Statist. Assoc. , vol.103 , pp. 811-821
    • Wang, H.1    Xia, Y.2
  • 61
    • 49549110291 scopus 로고    scopus 로고
    • A constructive approach to the estimation of dimension reduction directions
    • Xia, Y. (2007). A constructive approach to the estimation of dimension reduction directions. Ann. Statist., 35, 2654-2690.
    • (2007) Ann. Statist. , vol.35 , pp. 2654-2690
    • Xia, Y.1
  • 62
    • 0036428498 scopus 로고    scopus 로고
    • An adaptive estimation of dimension reduction space (with discussion)
    • Xia, Y., Tong, H., Li, W.K. & Zhu, L.X. (2002). An adaptive estimation of dimension reduction space (with discussion). J. R. Stat. Soc. Ser. B, 64, 363-410.
    • (2002) J. R. Stat. Soc. Ser. B , vol.64 , pp. 363-410
    • Xia, Y.1    Tong, H.2    Li, W.K.3    Zhu, L.X.4
  • 63
    • 1142265318 scopus 로고    scopus 로고
    • Using the bootstrap to select one of a new class of dimension reduction methods
    • Ye, Z. & Weiss, R.E. (2003). Using the bootstrap to select one of a new class of dimension reduction methods. J. Amer. Statist. Assoc., 98, 968-979.
    • (2003) J. Amer. Statist. Assoc. , vol.98 , pp. 968-979
    • Ye, Z.1    Weiss, R.E.2
  • 64
    • 84875658794 scopus 로고    scopus 로고
    • Sufficient dimension reduction in regression
    • Eds. T.T. Cai & X. Shen, Chapter 9. New Jersey : World Scientific.
    • Yin, X. (2010). Sufficient dimension reduction in regression. In The Analysis of High-dimensional Data, Eds. T.T. Cai & X. Shen, Chapter 9. New Jersey : World Scientific.
    • (2010) The Analysis of High-dimensional Data
    • Yin, X.1
  • 65
    • 33744977260 scopus 로고    scopus 로고
    • Moment based dimension reduction for multivariate response regression
    • Yin, X. & Bura, E. (2006). Moment based dimension reduction for multivariate response regression. J. Statist. Plann. Inference, 136, 3675-3688.
    • (2006) J. Statist. Plann. Inference , vol.136 , pp. 3675-3688
    • Yin, X.1    Bura, E.2
  • 66
    • 0036432553 scopus 로고    scopus 로고
    • Dimension reduction for the conditional kth moment in regression
    • Yin, X. & Cook, R.D. (2002). Dimension reduction for the conditional kth moment in regression. J. R. Stat. Soc. Ser. B, 64, 159-175.
    • (2002) J. R. Stat. Soc. Ser. B , vol.64 , pp. 159-175
    • Yin, X.1    Cook, R.D.2
  • 67
    • 21244477445 scopus 로고    scopus 로고
    • Direction estimation in single-index regressions
    • Yin, X. & Cook, R.D. (2005). Direction estimation in single-index regressions. Biometrika, 92, 371-384.
    • (2005) Biometrika , vol.92 , pp. 371-384
    • Yin, X.1    Cook, R.D.2
  • 68
    • 48749099148 scopus 로고    scopus 로고
    • Successive direction extraction for estimating the central subspace in a multiple-index regression
    • Yin, X., Li, B. & Cook, R.D. (2008). Successive direction extraction for estimating the central subspace in a multiple-index regression. J. Multivar. Anal., 99, 1733-1757.
    • (2008) J. Multivar. Anal. , vol.99 , pp. 1733-1757
    • Yin, X.1    Li, B.2    Cook, R.D.3
  • 69
    • 44849124825 scopus 로고    scopus 로고
    • Determining the dimension of the central subspace and central mean subspace
    • Zeng, P. (2008). Determining the dimension of the central subspace and central mean subspace. Biometrika, 95, 469-479.
    • (2008) Biometrika , vol.95 , pp. 469-479
    • Zeng, P.1
  • 70
    • 70350302653 scopus 로고    scopus 로고
    • An integral transform method for estimating the central mean and central subspaces
    • Zeng, P. & Zhu, Y. (2010). An integral transform method for estimating the central mean and central subspaces. J. Multivariate Anal., 101, 271-290.
    • (2010) J. Multivariate Anal. , vol.101 , pp. 271-290
    • Zeng, P.1    Zhu, Y.2
  • 71
    • 84862928752 scopus 로고    scopus 로고
    • Model-free feature screening for ultrahigh dimensional data
    • Zhu, L.P., Li, L., Li, R. & Zhu, L.X. (2011). Model-free feature screening for ultrahigh dimensional data. J. Amer. Statist. Assoc., 106(496), 1464-1475.
    • (2011) J. Amer. Statist. Assoc. , vol.106 , Issue.496 , pp. 1464-1475
    • Zhu, L.P.1    Li, L.2    Li, R.3    Zhu, L.X.4
  • 72
    • 77952840920 scopus 로고    scopus 로고
    • Sufficient dimension reduction through discretization-expectation estimation
    • Zhu, L.P., Wang, T., Zhu, L.X. & Férre, L. (2010a). Sufficient dimension reduction through discretization-expectation estimation. Biometrika, 97, 295-304.
    • (2010) Biometrika , vol.97 , pp. 295-304
    • Zhu, L.P.1    Wang, T.2    Zhu, L.X.3    Férre, L.4
  • 73
    • 79952806869 scopus 로고    scopus 로고
    • Dimension reduction for correlated data: an alternating inverse regression
    • Zhu, L.P., Yin, X. & Zhu, L.X. (2010b). Dimension reduction for correlated data: an alternating inverse regression. J. Comput. Graph. Statist., 19, 887-899.
    • (2010) J. Comput. Graph. Statist. , vol.19 , pp. 887-899
    • Zhu, L.P.1    Yin, X.2    Zhu, L.X.3
  • 74
    • 73149121559 scopus 로고    scopus 로고
    • A sparse eigen-decomposition estimation in semi-parametric regression
    • Zhu, L.P., Yu, Z. & Zhu, L.X. (2010c) A sparse eigen-decomposition estimation in semi-parametric regression. Comput. Statist. Data Anal., 54, 976-986.
    • (2010) Comput. Statist. Data Anal. , vol.54 , pp. 976-986
    • Zhu, L.P.1    Yu, Z.2    Zhu, L.X.3
  • 75
    • 33947148667 scopus 로고    scopus 로고
    • On kernel method for sliced average variance estimation
    • Zhu, L.P. & Zhu, L.X. (2007). On kernel method for sliced average variance estimation. J. Multivariate Anal., 98, 970-991.
    • (2007) J. Multivariate Anal. , vol.98 , pp. 970-991
    • Zhu, L.P.1    Zhu, L.X.2
  • 76
    • 68149091976 scopus 로고    scopus 로고
    • Dimension-reduction for conditional variance in regressions
    • Zhu, L.P. & Zhu, L.X. (2009a). Dimension-reduction for conditional variance in regressions. Statist. Sinica, 19, 869-883.
    • (2009) Statist. Sinica , vol.19 , pp. 869-883
    • Zhu, L.P.1    Zhu, L.X.2
  • 77
    • 62849115699 scopus 로고    scopus 로고
    • On distribution-weighted partial least squares with diverging number of highly correlated predictors
    • Zhu, L.P. & Zhu, L.X. (2009b). On distribution-weighted partial least squares with diverging number of highly correlated predictors. J. R. Stat. Soc. Ser. B, 71, 525-548.
    • (2009) J. R. Stat. Soc. Ser. B , vol.71 , pp. 525-548
    • Zhu, L.P.1    Zhu, L.X.2
  • 78
    • 78651340680 scopus 로고    scopus 로고
    • Dimension reduction in regressions through cumulative slicing estimation
    • Zhu, L.P., Zhu, L.X. & Feng, Z. (2010d). Dimension reduction in regressions through cumulative slicing estimation. J. Amer. Statist. Assoc., 105, 1455-1466.
    • (2010) J. Amer. Statist. Assoc. , vol.105 , pp. 1455-1466
    • Zhu, L.P.1    Zhu, L.X.2    Feng, Z.3
  • 79
    • 78349288463 scopus 로고    scopus 로고
    • On dimension reduction in regressions with multivariate responses
    • Zhu, L.P., Zhu, L.X. & Wen, S.Q. (2010e). On dimension reduction in regressions with multivariate responses. Statist. Sinica, 20, 1291-1307.
    • (2010) Statist. Sinica , vol.20 , pp. 1291-1307
    • Zhu, L.P.1    Zhu, L.X.2    Wen, S.Q.3
  • 80
    • 0038153750 scopus 로고    scopus 로고
    • Asymptotics for the kernel estimates of sliced inverse regression
    • Zhu, L.X. & Fang, K.T. (1996). Asymptotics for the kernel estimates of sliced inverse regression. Ann. Statist., 24, 1053-1067.
    • (1996) Ann. Statist. , vol.24 , pp. 1053-1067
    • Zhu, L.X.1    Fang, K.T.2
  • 81
    • 33745658690 scopus 로고    scopus 로고
    • On sliced inverse regression with high-dimensional covariates
    • Zhu, L.X., Miao, B. & Peng, H. (2006). On sliced inverse regression with high-dimensional covariates. J. Amer. Statist. Assoc., 101, 630-643.
    • (2006) J. Amer. Statist. Assoc. , vol.101 , pp. 630-643
    • Zhu, L.X.1    Miao, B.2    Peng, H.3
  • 82
    • 33751014301 scopus 로고    scopus 로고
    • On hybrid methods of inverse regression based algorithms
    • Zhu, L.X., Ohtaki, M. & Li, Y.X. (2007). On hybrid methods of inverse regression based algorithms. Comput. Statist. Data Anal., 51, 2621-2635.
    • (2007) Comput. Statist. Data Anal. , vol.51 , pp. 2621-2635
    • Zhu, L.X.1    Ohtaki, M.2    Li, Y.X.3
  • 83
    • 33846068932 scopus 로고    scopus 로고
    • Fourier methods for estimating the central subspace and the central mean subspace in regression
    • Zhu, Y. & Zeng, P. (2006). Fourier methods for estimating the central subspace and the central mean subspace in regression. J. Amer. Statist. Assoc., 101, 1638-1651.
    • (2006) J. Amer. Statist. Assoc. , vol.101 , pp. 1638-1651
    • Zhu, Y.1    Zeng, P.2
  • 84
    • 33846114377 scopus 로고    scopus 로고
    • The adaptive Lasso and its oracle properties
    • Zou, H. (2006). The adaptive Lasso and its oracle properties. J. Amer. Statist. Assoc., 101, 1418-1429.
    • (2006) J. Amer. Statist. Assoc. , vol.101 , pp. 1418-1429
    • Zou, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.