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Communications in Statistics - Simulation and Computation Volume 46, 2017 - Issue 4
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Original Articles

Robust modal estimation and variable selection for single-index varying-coefficient models

Jing YangCollege of Mathematics and Statistics, Chongqing University, Chongqing, PR ChinaCorrespondence[email protected]
&
Hu YangCollege of Mathematics and Statistics, Chongqing University, Chongqing, PR China
Pages 2976-2997 | Received 04 Dec 2014, Accepted 01 Jul 2015, Published online: 18 Dec 2016

References

  • Carroll, R. J., Fan, J., Gijbels, I., Wand, M. P. (1997). Generalized partially linear single-index models. Journal of the American Statistical Association 92:477–489.
  • Eddy, W. F. (1980). Optimum kernel estimators of the mode. The Annals of Statistics 8:870–882.
  • Fan, J., Li, R. (2001). Variable selection via nonconcave penalized likelihood and its oracle properties. Journal of the American Statistical Association 96:1348–1360.
  • Feng, S., Xue, L. (2013). Variable selection for single-index varying-coefficient model. Frontiers of Mathematics in China 8:1–25.
  • Feng, S., Xue, L. (2015). Model detection and estimation for single-index varying coefficient model. Journal of Multivariate Analysis 139:227–244.
  • Frank, I., Friedman, J. (1993). A statistical view of some chemometrics tools. Technometrics 35:109–135.
  • Li, J., Ray, S., Lindsay, B. G. (2007). A nonparametric statistical approach to clustering via mode identification. Journal of Machine Learning Research 8:1687–1723.
  • Liu, J., Zhang, R., Zhao, W., Lv, Y. (2013). A robust and efficient estimation method for single-index models. Journal of Multivariate Analysis 122:226–238.
  • Peng, H., Huang, T. (2011). Penalized least squares for single index models. Journal of Statistical Planning and Inference 141:1362–1379.
  • Romano, J. P. (1988). On weak convergence and optimality of kernel density estimates of the mode. The Annals of Statistics 16:629–647.
  • Tibshirani, R. (1996). Regression shrinkage and selection via the Lasso. Journal of the Royal Statistical Society Series B 58:267–288.
  • Xia, Y., Li, W. K. (1999). On single-index coefficient regression models. Journal of the American Statistical Association 94:1275–1285.
  • Xue, L., Pang, Z. (2013). Statistical inference for a single-index varying-coefficient model. Statistics and Computing 23:589–599.
  • Xue, L., Wang, Q. (2012). Empirical likelihood for single-index varying-coefficient models. Bernoulli 18:836–856.
  • Yang, H., Guo, C., Lv, J. (2014). A robust and efficient estimation method for single-index varying-coefficient models. Statistics and Probability Letters 94:119–127.
  • Yang, H., Yang, J. (2014a). The adaptive L1-penalized LAD regression for partially linear single-index models. Journal of Statistical Planning and Inference 151–152:73–89.
  • Yang, H., Yang, J. (2014b). A robust and efficient estimation and variable selection method for partially linear single-index models. Journal of Multivariate Analysis 129:227–242.
  • Yao, W., Li, L. (2014). A new regression model: Modal linear regression. Scandinavian Journal of Statistics 41:656–671.
  • Yao, W., Lindsay, B. G., Li, R. (2012). Local modal regression. Journal of Nonparametric Statistics 24:647–663.
  • Zhang, R., Zhao, W., 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.
  • Zhu, H., Lv, Z., Yu, K., Deng, C. (2014). Robust variable selection in partially varying coefficient single-index model. Journal of the Korean Statistical Society 44:45–57.
  • Zou, H. (2006). The adaptive LASSO and its oracle properties. Journal of the American Statistical Association 101:1418–1429.

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