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Communications in Statistics - Theory and Methods Volume 45, 2016 - Issue 18
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Original Articles

Robust variable selection and parametric component identification in varying coefficient models

Hu YangCollege of Mathematics and Statistics, Chongqing University, Chongqing, China
,
Jing LvCollege of Mathematics and Statistics, Chongqing University, Chongqing, ChinaCorrespondence[email protected]
&
Chaohui GuoCollege of Mathematics and Statistics, Chongqing University, Chongqing, China
Pages 5533-5549 | Received 17 Sep 2013, Accepted 17 Jul 2014, Published online: 11 Jul 2016

References

  • Cai, Z., Fan, J., Li, R. (2000). Efficient estimation and inferences for varying-coefficient models. J. Am. Stat. Assoc. 95:888–902.
  • de Boor, C. (2001). A Practical Guide to Splines. New York: Springer.
  • Eubank, L.R. (1999). Nonparametric Regression and Spline Smoothing. second ed. New York: Marcel-Dekker.
  • Fan, J., Huang, T. (2005). Profile likelihood inferences on semiparametric varying-coefficient partially linear models. Bernoulli 11:1031–1057.
  • Fan, J., Li, R. (2001). Variable selection via nonconcave penalized likelihood and its oracle properties. J. Am. Stat. Assoc. 96:1348–1360.
  • Fan, J., Lv, J. (2008). Sure independence screening for ultrahigh dimensional feature space. J. R. Stat. Soc. Ser. B 70:849–911.
  • Fan, J., Song, R. (2010). Sure independence screening in generalized linear models with NP-dimensionality. Ann. Stat. 38:3567–3604.
  • Feng, L., Zou, C., Wang, Z., Wei, X., Chen, B. (2015). Robust spline-based variable selection in varying coefficient model. Metrika 78:85–118.
  • Härdle, W., Liang, H., Gao, J. (2000). Partially Linear Models. Heidelberg: Springer, MR 1787637.
  • Hastie, T., Thibshirani, R. (1993). Varying-coefficient models. J. R. Stat. Soc. Ser. B 55:757–796.
  • Hu, T., Xia, Y. (2012). Adaptive semi-varying coefficient model selection. Stat. Sin. 22:575–599.
  • Huang, J.Z., Wu, C.O., Zhou, L. (2004). Polynomial spline estimation and inference for varying coefficient models with longitudinal data. Stat. Sin. 14:763–788.
  • Jaeckel, L.A. (1972). Estimating regression coefficients by minimizing the dispersion of residuals. Ann. Math. Stat. 43:1449–1458.
  • Kim, M. (2007). Quantile regression with varying coefficients. Ann. Stat. 35:92–108.
  • Leng, C. (2010). Variable selection and coefficient estimation via regularized rank regression. Stat. Sin. 20:167–181.
  • Li, R., Zhong, W., Zhu, L. (2012). Feature screening via distance correlation learning. J. Am. Stat. Assoc. 107:1129–1139.
  • Tang, Y., Wang, H.J., Zhu, Z., Song, X. (2012). A unified variable selection approach for varying coefficient models. Stat. Sin. 22:601–628.
  • Wang, H., Xia, Y. (2009). Shrinkage estimation of the varying coefficient model. J. Am. Stat. Assoc. 104:747–757.
  • Wang, L., Li, H., Huang, J.Z. (2008). Variable selection in non-parametric varying-coefficient models for analysis of repeated measurements. J. Am. Stat. Assoc. 103:1556–1569.
  • Wang, L., Li, R. (2009). Weighted Wilcoxon-type smoothly clipped absolute deviation method. Biometrics 65:564–571.
  • Wang, M., Song, L. (2013). Identification for semiparametric varying coefficient partially linear models. Stat. Probab. Lett. 83:1311–1320.
  • Xue, L., Qu, A. (2012). Variable selection in high-dimensional varying-coefficient models with global optimality. J. Mach. Learn. Res. 13:1973–1998.
  • Zhang, W., Lee, S.Y., Song, X. (2002). Local polynomial fitting in semi-varying coefficient models. J. Multivariate Anal. 82:166–188.
  • Zhu, L., Li, L., Li, R., Zhu, L. (2011). Model-free feature screening for ultrahigh-dimensional data. J. Am. Stat. Assoc. 106:1464–1475.

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