References
- Carroll, R.J., Fan, J., Gijbels, I., and Wand, M.P. (1997), ‘Generalized Partially Linear Single-index Models’, Journal of the American Statistical Association, 92, 477–489.
- Ding, X., Zhou, X.H., and Wang, Q. (2015), ‘A Partially Linear Single-index Transformation Model and Its Nonparametric Estimation’, Canadian Journal of Statistics, 43, 97–117.
- Feng, S., and Xue, L. (2015), ‘Model Detection and Estimation for Single-index Varying Coefficient Model’, Journal of Multivariate Analysis, 139, 227–244.
- Härdle, W., Hall, P., and Ichimura, H. (1993), ‘Optimal Smoothing in Single-index Models’, The Annals of Statistics, 21, 157–178.
- Huang, Z. (2011), ‘Statistical Estimation in Partially Linear Single-index Models with Error-prone Linear Covariates’, Journal of Nonparametric Statistics, 23, 339–350.
- Jiang, C.R., and Wang, J.L. (2011), ‘Functional Single Index Models for Longitudinal Data’, The Annals of Statistics, 39, 362–388.
- Lin, H., and Peng, H. (2013), ‘Smoothed Rank Correlation of the Linear Transformation Regression Model’, Computational Statistics & Data Analysis, 57(1), 615–630.
- Liu, J., Zhang, R., Zhao, W., and Lv, Y. (2013), ‘A Robust and Efficient Estimation Method for Single Index Models’, Journal of Multivariate Analysis, 122, 226–238.
- Lv, Y., Zhang, R., Zhao, W., and Liu, J. (2014), ‘Quantile Regression and Variable Selection of Partial Linear Single-index Model’, Annals of the Institute of Statistical Mathematics, 67(2), 375–409.
- Peng, H., and Huang, T. (2011), ‘Penalized Least Squares for Single Index Models’, The Journal of Statistical Planning and Inference, 141(4), 1362–1379.
- Penrose, K., Nelson, A., and Fisher, A. (1985), ‘Generalized Body Composition Prediction Equation for Men Using Simple Measurement Techniques’, Medicine & Science in Sports & Exercise, 17, 189.
- Wang, Q., and Yao, W. (2012), ‘An Adaptive Estimation of MAVE’, Journal of Multivariate Analysis, 104, 88–100.
- Wang, T., Xu, P., and Zhu, L. (2013), ‘Penalized Minimum Average Variance Estimation’, Statistica Sinica, 23, 543–569.
- Xia, Y. (2007), ‘A Constructive Approach to the Estimation of Dimension Reduction Directions’, The Annals of Statistics, 35, 2654–2690.
- Xia, Y. (2008), ‘A Multiple-Index Model and Dimension Reduction’, Journal of the American Statistical Association, 103, 1631–1640.
- Xia, Y., and Härdle, W. (2006), ‘Semi-parametric Estimation of Partially Linear Single-index Models’, Journal of Multivariate Analysis, 97, 1162–1184.
- Xia, Y., Tong, H., Li, K.W., and Zhu, L. (2002), ‘An Adaptive Estimation of Dimension Reduction Space’, Journal of the Royal Statistical Society, Series B, 64, 363–410.
- Yao, W., and Li, L. (2014), ‘A New Regression Model: Modal Linear Regression’, Scandinavian Journal of Statistics, 41, 656–671.
- Yao, W., Lindsay, B.G., and Li, R. (2012), ‘Local Modal Regression’, Journal of Nonparametric Statistics, 24, 647–663.
- Yang, H., and Yang, J. (2014), ‘A Robust and Efficient Estimation and Variable Selection Method for Partially Linear Single-index Models’, Journal of Multivariate Analysis, 129, 227–242.
- Yang, H., Guo, C., and Lv, J. (2014), ‘A Robust and Efficient Estimation Method for Single-index Varying-coefficient Models’, Statistics & Probability Letters, 94, 119–127.
- Zhang, R., Zhao, W., and Liu, J. (2013), ‘Robust Estimation and Variable Selection for Semiparametric Partially Linear Varying Coefficient Model Based on Modal Regression’, Journal of Nonparametric Statistics, 25, 523–544.