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Volumn 107, Issue 497, 2012, Pages 168-179

A semiparametric approach to dimension reduction

Author keywords

Estimating equations; Nonparametric regression; Robustness; Semiparametric methods; Sliced inverse regression

Indexed keywords


EID: 84862890233     PISSN: 01621459     EISSN: None     Source Type: Journal    
DOI: 10.1080/01621459.2011.646925     Document Type: Article
Times cited : (208)

References (37)
  • 3
    • 0000133998 scopus 로고
    • An Analysis of Transformations (with discussion)
    • Series B, [168]
    • Box, G. E. P., and Cox, D. R. (1964), "An Analysis of Transformations" (with discussion), Journal of the Royal Statistical Society, Series B, 26, 211-252. [168]
    • (1964) Journal of the Royal Statistical Society , vol.26 , pp. 211-252
    • Box, G.E.P.1    Cox, D.R.2
  • 6
    • 0036284461 scopus 로고    scopus 로고
    • Dimension Reduction for Conditional mean in regression
    • [168,172]
    • Cook, R. D., and Li, B. (2002), "Dimension Reduction for Conditional mean in regression," The Annals of Statistics, 30, 455-474. [168,172]
    • (2002) The Annals of Statistics , vol.30 , pp. 455-474
    • Cook, R.D.1    Li, B.2
  • 7
    • 84911996007 scopus 로고    scopus 로고
    • Dimension Reduction in Regressions with Exponential Family Predictors
    • [170]
    • Cook, R. D., and Li, L. (2005), "Dimension Reduction in Regressions with Exponential Family Predictors," Journal of Computational and Graphical Statistics, 18, 774-791. [170]
    • (2005) Journal of Computational and Graphical Statistics , vol.18 , pp. 774-791
    • Cook, R.D.1    Li, L.2
  • 10
    • 77952861561 scopus 로고    scopus 로고
    • Dimension Reduction for Non-Elliptically Distributed Predictors: Second-Order Moments
    • [168,172,174]
    • Dong, Y., and Li, B. (2010), "Dimension Reduction for Non-Elliptically Distributed Predictors: Second-Order Moments," Biometrika, 97, 279-294. [168,172,174]
    • (2010) Biometrika , vol.97 , pp. 279-294
    • Dong, Y.1    Li, B.2
  • 11
    • 0036822251 scopus 로고    scopus 로고
    • Dimension Reduction Based on Canonical Correlation
    • [168]
    • Fung, W. K., He, X., Liu, L., and Shi, P. (2002), "Dimension Reduction Based on Canonical Correlation," Statistica Sinica, 12, 1093-1113. [168]
    • (2002) Statistica Sinica , vol.12 , pp. 1093-1113
    • Fung, W.K.1    He, X.2    Liu, L.3    Shi, P.4
  • 12
    • 0041753016 scopus 로고
    • On Almost Linearity of Low Dimensional Projections from High Dimensional Data
    • [176]
    • Hall, P., and Li, K. C. (1993), "On Almost Linearity of Low Dimensional Projections from High Dimensional Data," The Annals of Statistics, 21, 867-889. [176]
    • (1993) The Annals of Statistics , vol.21 , pp. 867-889
    • Hall, P.1    Li, K.C.2
  • 13
    • 21144469983 scopus 로고
    • Optimal Smoothing in Single- Index Models
    • [168]
    • Härdle, W., Hall, P., and Ichimura, H. (1993), "Optimal Smoothing in Single- Index Models," The Annals of Statistics, 21, 157-178. [168]
    • (1993) The Annals of Statistics , vol.21 , pp. 157-178
    • Härdle, W.1    Hall, P.2    Ichimura, H.3
  • 14
    • 0002470428 scopus 로고
    • Investigating Smooth Multiple Regression by the Method of Average Derivatives
    • [168]
    • Härdle, W., and Stoker, T. M. (1989), "Investigating Smooth Multiple Regression by the Method of Average Derivatives," Journal of the American Statistical Association, 84, 986-995. [168]
    • (1989) Journal of the American Statistical Association , vol.84 , pp. 986-995
    • Härdle, W.1    Stoker, T.M.2
  • 16
    • 25844518492 scopus 로고    scopus 로고
    • AParadox Concerning Nuisance Parameters and Projected Estimating Functions
    • [174]
    • Henmi, M., and Eguchi, S. (2004), "AParadox Concerning Nuisance Parameters and Projected Estimating Functions," Biometrika, 91, 929-941. [174]
    • (2004) Biometrika , vol.91 , pp. 929-941
    • Henmi, M.1    Eguchi, S.2
  • 17
    • 0041708566 scopus 로고    scopus 로고
    • Direct Semiparametric Estimation of Single-Index Models with Discrete Covariates," Journal of the American
    • [168,173]
    • Horowitz, J. L., and Härdle, W. (1996), "Direct Semiparametric Estimation of Single-Index Models with Discrete Covariates," Journal of the American Statistical Association, 91, 1632-1639. [168,173]
    • (1996) Statistical Association , vol.91 , pp. 1632-1639
    • Horowitz, J.L.1    Härdle, W.2
  • 18
    • 0003187405 scopus 로고
    • Semiparametric Least Squares (SLS) and Weighted SLS Estimation of Single-Index Models
    • [168,173]
    • Ichimura, H. (1993), "Semiparametric Least Squares (SLS) and Weighted SLS Estimation of Single-Index Models," Journal of Econometrics, 58, 71-120. [168,173]
    • (1993) Journal of Econometrics , vol.58 , pp. 71-120
    • Ichimura, H.1
  • 19
    • 84945116550 scopus 로고
    • Sliced Inverse Regression for Dimension Reduction" (with discussion)
    • [168,171]
    • Li, K. C. (1991), "Sliced Inverse Regression for Dimension Reduction" (with discussion), Journal of the American Statistical Association, 86, 316-342. [168,171]
    • (1991) Journal of the American Statistical Association , vol.86 , pp. 316-342
    • Li, K.C.1
  • 20
    • 84950441056 scopus 로고
    • On Principal Hessian Directions for Data Visualization and Dimension Reduction: Another Application of Stein's Lemma
    • [168,172]
    • Li, K. C. (1992), "On Principal Hessian Directions for Data Visualization and Dimension Reduction: Another Application of Stein's Lemma," Journal of the American Statistical Association, 87, 1025-1039. [168,172]
    • (1992) Journal of the American Statistical Association , vol.87 , pp. 1025-1039
    • Li, K.C.1
  • 21
    • 34249037555 scopus 로고    scopus 로고
    • Sparse Sufficient Dimension Reduction
    • [174]
    • Li, L. (2007), "Sparse Sufficient Dimension Reduction," Biometrika, 94, 603-613. [174]
    • (2007) Biometrika , vol.94 , pp. 603-613
    • Li, L.1
  • 22
    • 68649110509 scopus 로고    scopus 로고
    • Dimension Reduction for Non-Elliptically Distributed Predictors
    • [168,172]
    • Li, B., and Dong, Y. (2009), "Dimension Reduction for Non-Elliptically Distributed Predictors," The Annals of Statistics, 37, 1272-1298. [168,172]
    • (2009) The Annals of Statistics , vol.37 , pp. 1272-1298
    • Li, B.1    Dong, Y.2
  • 23
    • 0001017987 scopus 로고
    • Regression Analysis Under Link Violation
    • [168,172]
    • Li, K. C., and Duan, N. (1989), "Regression Analysis Under Link Violation," The Annals of Statistics, 17, 1009-1052. [168,172]
    • (1989) The Annals of Statistics , vol.17 , pp. 1009-1052
    • Li, K.C.1    Duan, N.2
  • 24
    • 35348849313 scopus 로고    scopus 로고
    • On Directional Regression for Dimension Reduction
    • [168,171,172]
    • Li, B., and Wang, S. (2007), "On Directional Regression for Dimension Reduction," Journal of the American Statistical Association, 102, 997-1008. [168,171,172]
    • (2007) Journal of the American Statistical Association , vol.102 , pp. 997-1008
    • Li, B.1    Wang, S.2
  • 25
    • 0002324387 scopus 로고
    • Semiparametric Efficiency Bounds
    • [170]
    • Newey, W. K. (1990), "Semiparametric Efficiency Bounds," Journal of Applied Econometrics, 5, 99-135. [170]
    • (1990) Journal of Applied Econometrics , vol.5 , pp. 99-135
    • Newey, W.K.1
  • 26
    • 77953302961 scopus 로고    scopus 로고
    • Dimension Reduction in Time Series
    • [168]
    • Park, J. H., Sriram, T. N., and Yin, X. (2010), "Dimension Reduction in Time Series," Statistica Sinica, 20, 747-770. [168]
    • (2010) Statistica Sinica , vol.20 , pp. 747-770
    • Park, J.H.1    Sriram, T.N.2    Yin, X.3
  • 27
    • 0001099098 scopus 로고
    • Semiparametric Estimation of Index Coefficients
    • [168]
    • Power, J. L., Stock, J. H., and Stoker, T. M. (1989), "Semiparametric Estimation of Index Coefficients," Econometrika, 51, 1403-1430. [168]
    • (1989) Econometrika , vol.51 , pp. 1403-1430
    • Power, J.L.1    Stock, J.H.2    Stoker, T.M.3
  • 29
    • 85009945153 scopus 로고    scopus 로고
    • Sparse Supervised Dimension Reduction in High Dimensional Classification
    • [174]
    • Wang, J., and Wang, L. (2010), "Sparse Supervised Dimension Reduction in High Dimensional Classification," Electronic Journal of Statistics, 4, 914-931. [174]
    • (2010) Electronic Journal of Statistics , vol.4 , pp. 914-931
    • Wang, J.1    Wang, L.2
  • 31
    • 49549110291 scopus 로고    scopus 로고
    • A Constructive Approach to the Estimation of Dimension Reduction Directions
    • [168,174]
    • Xia, Y. (2007), "A Constructive Approach to the Estimation of Dimension Reduction Directions," The Annals of Statistics, 35, 2654-2690. [168,174]
    • (2007) The Annals of Statistics , vol.35 , pp. 2654-2690
    • Xia, Y.1
  • 32
    • 0036428498 scopus 로고    scopus 로고
    • An Adaptive Estimation of Dimension Reduction Space" (with discussion)
    • Series B, [168,174]
    • Xia, Y., Tong, H., Li, W. K., and Zhu, L. X. (2002), "An Adaptive Estimation of Dimension Reduction Space" (with discussion), Journal of the Royal Statistical Society, Series B, 64, 363-410. [168,174]
    • (2002) Journal of the Royal Statistical Society , vol.64 , pp. 363-410
    • Xia, Y.1    Tong, H.2    Li, W.K.3    Zhu, L.X.4
  • 33
    • 1142265318 scopus 로고    scopus 로고
    • Using the Bootstrap to Select one of a New Class ofDimension ReductionMethods
    • [174]
    • Ye, Z., and Weiss, R. E. (2003), "Using the Bootstrap to Select one of a New Class ofDimension ReductionMethods," Journal of the American Statistical Association, 98, 968-979. [174]
    • (2003) Journal of the American Statistical Association , vol.98 , pp. 968-979
    • Ye, Z.1    Weiss, R.E.2
  • 34
    • 21244477445 scopus 로고    scopus 로고
    • Direction Estimation in Single-Index Regressions
    • [168]
    • Yin, X., and Cook, R. D. (2005), "Direction Estimation in Single-Index Regressions," Biometrika, 92, 371-384. [168]
    • (2005) Biometrika , vol.92 , pp. 371-384
    • Yin, X.1    Cook, R.D.2
  • 35
    • 48749099148 scopus 로고    scopus 로고
    • Successive Direction Extraction for Estimating the Central Subspace in a Multiple-Index Regression
    • [168]
    • Yin, X., Li, B., and Cook, R. D. (2008), "Successive Direction Extraction for Estimating the Central Subspace in a Multiple-Index Regression," Journal of Multivariate Analysis, 99, 1733-1757. [168]
    • (2008) Journal of Multivariate Analysis , vol.99 , pp. 1733-1757
    • Yin, X.1    Li, B.2    Cook, R.D.3
  • 36
    • 0038153750 scopus 로고    scopus 로고
    • Asymptotics for Kernel Estimation of Sliced Inverse Regression
    • [168]
    • Zhu, L. X., and Fang, K. T. (1996), "Asymptotics for Kernel Estimation of Sliced Inverse Regression," The Annals of Statistics, 3, 1053-1068. [168]
    • (1996) The Annals of Statistics , vol.3 , pp. 1053-1068
    • Zhu, L.X.1    Fang, K.T.2
  • 37
    • 33846068932 scopus 로고    scopus 로고
    • Fourier Methods for Estimating the Central Subspace and the Central Mean Subspace in Regression
    • [168]
    • Zhu, Y., and Zeng, P. (2006), "Fourier Methods for Estimating the Central Subspace and the Central Mean Subspace in Regression," Journal of the American Statistical Association, 101, 1638-1651. [168]
    • (2006) Journal of the American Statistical Association , vol.101 , pp. 1638-1651
    • Zhu, Y.1    Zeng, P.2


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