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Theory and Methods

Feature Selection for Varying Coefficient Models With Ultrahigh-Dimensional Covariates

Pages 266-274 | Received 31 Mar 2013, Published online: 19 Mar 2014

REFERENCES

  • Dawber, T.R., Meadors, G.F., and Moore, F.E. , Jr. (1951), “Epidemiological Approaches to Heart Disease: The Framingham Study,” American Journal of Public Health, 41, 279–286.
  • Fan, J., Feng, Y., and Song, R. (2011), “Nonparametric Independence Screening in Sparse Ultra-High Dimensional Additive Models,” Journal of the American Statistical Association, 106, 544–557.
  • Fan, J., and Gijbels, I. (1996), Local Polynomial Modeling and Its Applications, New York: Chapman and Hall.
  • Fan, J., and Li, R. (2001), “Variable Selection via Nonconcave Penalized Likelihood and it Oracle Properties,” Journal of the American Statistical Association, 96, 1348–1360.
  • Fan, J., and Li, R. (2004), “New Estimation and Model Selection Procedures for Semiparametric Modeling in Longitudinal Data Analysis,” Journal of the American Statistical Association, 99, 710–723.
  • Fan, J., and Lv, J. (2008), “Sure Independence Screening for Ultrahigh Dimensional Feature Space” (with discussion), Journal of the Royal Statistical Society, Series B, 70, 849–911.
  • Fan, J., and Song, R. (2010), “Sure Independence Screening in Generalized Linear Models With NP-Dimensionality,” The Annals of Statistics, 38, 3567–3604.
  • Fan, J., Zhang, C., and Zhang, J. (2001), “Generalized Likelihood Ratio Statistics and Wilks Phenomenon,” The Annals of Statistics, 29, 153–193.
  • Fan, J., and Zhang, W. (2000), “Simultaneous Confidence Bands and Hypotheses Testing in Varying-Coefficient Models,” Scandinavian Journal of Statistics, 27, 1491–1518.
  • Hall, P., and Miller, H. (2009), “Using Generalized Correlation to Effect Variable Selection in Very High Dimensional Problems,” Journal of Computational and Graphical Statistics, 18, 533–550.
  • He, X., Wang, L., and Hong, H.G. (2013), “Quantile-Adaptive Model-Free Variable Screening for High-Dimensional Heterogeneous Data,” The Annals of Statistics, 41, 342–369.
  • Jaquish, C. (2007), “The Framingham Heart Study, on its Way to Becoming the Gold Standard for Cardiovascular Genetic Epidemiology,” BMC Medical Genetics, 8, 63.
  • Li, G., Peng, H., Zhang, J., and Zhu, L.-X. (2012), “Robust Rank Correlation Based Screening,” The Annals of Statistics, 40, 1846–1877
  • Li, R., and Liang, H. (2008), “Variable Selection in Semiparametric Regression Model,” The Annals of Statistics, 36, 261–286.
  • Li, R., Zhong, W., and Zhu, L.P. (2012), “Feature Screening via Distance Correlation Learning,” Journal of the American Statistical Association, 107, 1129–1139.
  • Ruppert, D., Sheather, S.J., and Wand, M.P. (1995), “An Effective Bandwidth Selector for Local Least Squares Regression,” Journal of the American Statistical Association, 90, 1257–1270.
  • Tibshirani, R. (1996), “Regression Shrinkage and Selection via LASSO,” Journal of the Royal Statistical Society, Series B, 58, 267–288.
  • Wang, H., and Xia, Y. (2009), “Shrinkage Estimation of the Varying Coefficient Model,” Journal of the American Statistical Association, 104, 747–757.
  • Wang, L., Li, H., and Huang, J. (2008), “Variable Selection in Nonparametric Varying-Coefficient Models for Analysis of Repeated Measurements,” Journal of the American Statistical Association, 103, 1556–1569.
  • Zhu, L.P., Li, L., Li, R., and Zhu, L.X. (2011), “Model-Free Feature Screening for Ultrahigh Dimensional Data,” Journal of the American Statistical Association, 106, 1464–1475.
  • Zou, H. (2006), “The Adaptive LASSO and its Oracle Properties,” Journal of the American Statistical Association, 101, 1418–1429.

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