REFERENCES
- Bondell, H.D., and Li, L. (2009), Shrinkage Inverse Regression Estimation for Model-Free Variable Selection, Journal of the Royal Statistical Society, Series B, 71, 287–299.
- Bondell, H.D., and Reich, B.J. (2008), Simultaneous Regression Shrinkage, Variable Selection, and Supervised Clustering of Predictors With OSCAR, Biometrics, 64, 322–323.
- Chiaromonte, F., Cook, R.D., and Li, B. (2002), Sufficient Dimension Reduction in Regressions With Categorical Predictors, The Annals of Statistics, 30, 475–497.
- Cook, R., and Li, B. (2002), Dimension Reduction for Conditional Mean in Regression, The Annals of Statistics, 455–474.
- Cook, R., and Weisberg, S. (1991), Discussion of “Sliced Inverse Regression for Dimension Reduction, Journal of the American Statistical Association, 86, 328–332.
- Cook, R.D. (1994), Using Dimension-Reduction Subspaces to Identify Important Inputs in Models of Physical Systems, Proceedings of the Section on Physical and Engineering Sciences, pp. 18–25.
- Cook, R.D. (1998), Regression Graphics: Ideas for Studying Regressions Through Graphics, New York: Wiley.
- Cook, R.D., Li, B., and Chiaromonte, F. (2007), Dimension Reduction in Regression Without Matrix Inversion, Biometrika, 94, 569–584.
- Cook, R.D., Li, B., and Chiaromonte, F. (2010), “Envelope Models for Parsimonious and Efficient Multivariate Linear Regression” (with discussion), Statistica Sinica, 20, 927–1010.
- Hardle, W., Hall, P., and Ichimura, H. (1993), Optimal Smoothing in Single-Index Models, The Annals of Statistics, 21, 157–178.
- Hastie, T.J., and Tibshirani, R.J. (1990), Generalized Additive Models, London: Chapman & Hall.
- Hotelling, H. (1936), Relations Between Two Sets of Variables, Biometrika, 321–327.
- Ichimura, H. (1993), Semiparametric Least Squares (SLS) and Weighted SLS Estimation of Single-Index Models, Journal of Econometrics, 58, 71–120.
- Li, B., Cook, R., Chiaromonte, F. (2003), Dimension Reduction for Conditional Mean in Regressions With Categorical Predictors, The Annals of Statistics, 31, 1636–1668.
- Li, B., and Dong, Y. (2009), Dimension Reduction for Nonelliptically Distributed Predictors, The Annals of Statistics, 37, 1272–1298.
- Li, B., Kim, M.K., and Altman, N. (2010), On Dimension Folding of Matrix- or Array-Valued Statistical Objects, The Annals of Statistics, 38, 1094–1121.
- Li, B., and Wang, S. (2007), On Directional Regression for Dimension Reduction, Journal of the American Statistical Association, 102, 997–1008.
- Li, B., Zha, H., and Chiaromonte, F. (2005), Contour Regression: A General Approach to Dimension Reduction, The Annals of Statistics, 33, 1580–1616.
- Li, K.-C. (1991), Sliced Inverse Regression for Dimension Reduction, Journal of the American Statistical Association, 86, 316–327.
- 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.
- Li, K.-C., and Duan, N. (1989), Regression Analysis Under Link Violation, The Annals of Statistics, 1009–1052.
- Li, L. (2007), Sparse Sufficient Dimension Reduction, Biometrika, 94, 603–613.
- Li, L. (2009), Exploiting Predictor Domain Information in Sufficient Dimension Reduction, Computational Statistics and Data Analysis, 53, 2665–2672.
- Li, L., Cook, R.D., and Tsai, C.-L. (2007), Partial Inverse Regression, Biometrika, 94, 615–625.
- Li, L., Li, B., and Zhu, L.-X. (2010), Groupwise Dimension Reduction, Journal of the American Statistical Association, 105, 1188–1201.
- Ma, Y., and Zhu, L. (2012), A Semiparametric Approach to Dimension Reduction, Journal of the American Statistical Association, 107, 168–179.
- Ma, Y. (2013), Efficient Estimation in Sufficient Dimension Reduction, The Annals of Statistics, 41, 250–268.
- Mann, M.E., Zhang, Z., Hughes, M.K., Bradley, R.S., Miller, S.K., Rutherford, S., and Ni, F. (2008), Proxy-Based Reconstructions of Hemispheric and Global Surface Temperature Variations Over the Past Two Millennia, Proceedings of the National Academy of Sciences, 105, 13252–13257.
- McShane, B.B., Wyner, A.J., et al. (2011), A Statistical Analysis of Multiple Temperature Proxies: Are Reconstructions of Surface Temperatures Over the Last 1000 Years Reliable?, The Annals of Applied Statistics, 5, 5–44.
- Naik, P.A., and Tsai, C.-L. (2005), Constrained Inverse Regression for Incorporating Prior Information, Journal of the American Statistical Association, 100, 204–211.
- Takane, Y., Kiers, H. A.L., and de Leeuw, J.D. (1995), Component Analysis With Different Sets of Constraints on Different Dimensions, Psychometrika, 56, 97–120.
- Wang, H., and Xia, Y. (2008), Sliced Regression for Dimension Reduction, Journal of the American Statistical Association, 103, 811–821.
- Wang, Q., and Yin, X. (2008), A Nonlinear Multi-Dimensional Variable Selection Method for High Dimensional Data: Sparse MAVE, Computational Statistics and Data Analysis, 52, 4512–4520.
- Xia, Y. (2008), A Multiple-Index Model and Dimension Reduction, Journal of the American Statistical Association, 103, 1631–1640.
- Xia, Y., Tong, H., Li, W.K., and Zhu, L.-X. (2002), An Adaptive Estimation of Dimension Reduction Space, Journal of The Royal Statistical Society, Series B, 64, 363–410.
- 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.
- Zhu, L., Miao, B.Q., and Peng, H. (2006), On Sliced Inverse Regression With High Dimensional Covariates, Journal of the American Statistical Association, 101, 630–643.