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Original Articles

Variable Selection in Semiparametric Quantile Modeling for Longitudinal Data

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Pages 2243-2266 | Received 18 Jan 2012, Accepted 21 Jan 2013, Published online: 22 Jun 2015

References

  • Fan, J., Zhang, J. (2000). Two-step estimation of functional linear models with applications to longitudinal data. J. Royal Stat. Soc., Ser. B. 62:303–322.
  • Fan, J., Li, R. (2001). Variable selection via non concave penalized likelihood and its oracle properties. J. Am. Stat. Assoc. 96:1348–1360.
  • Fan, J., Li, R. (2004). New estimation and model selection procedures for semiparametric modeling in longitudinal data analysis. J. Am. Stat. Assoc. 99:710–723.
  • He, X., Shi, P. (1994). Convergence rate of B-spline estimators of nonparametric conditional quantile functions. J. Nonparametric Stat. 3:299–308.
  • Huang, J.Z., Wu, C.O., Zhou, L. (2002). Varying-coefficient models and basis function approximations for the analysis of repeated measurements. Biometrika. 89:111–128.
  • He, X., Zhu, Z., Fung, W. (2002). Estimation in a semiparametric model for longitudinal data with unspecified dependence structure. Biometrika. 89:579–590.
  • Hohsuk, N., Kwanghun, C., Ingrid, V. (2012). Variable selection of varying coefficient models in quantile regression. Electron. J. Stat. 6:1220–1238.
  • Hu, T., Xia, Y. (2012). Adaptive semi-varying coefficient model selection. Stat. Sin. 22:575–599.
  • Kaslow, R.A., Ostrow, D.G., Detels, R., Phair, J.P., Polk, B.F., Rinaldo, C.R. (1987). The multicenter AIDS cohort study: Rationale, organization and selected characteristics of the participants. Am. J. Epidemiol. 126:310–318.
  • Koenker, R. (2005). Quantile Regression. Cambridge: Cambridge University Press.
  • Kai, B., Li, R., Zou, H. (2011). New efficient estimation and variable selection method for semiparametric varying-coefficient partially linear models. Ann. Stat. 39:305–332.
  • Leng, C. (2009). A simple approach for varying-coefficient model selection. J. Stat. Plan. Inference. 139:2138–2146.
  • Portnoy, S., Koenker, R. (1997). The Gaussian hare and the Laplacian tortoise: computability of the squared-error versus absolute-error estimators. Stat. Sci. 12:279–300.
  • Qu, A., Li, R. (2006). Quadratic inference functions for varying coefficient models with longitudinal data. Biometrics. 62:379–391.
  • Stone, C. (1985). Additive regression and other nonparametric models. Ann. Stat. 13:689–705.
  • Tibshirani, R.J. (1996). Regression shrinkage and selection via the lasso. J. Royal Stat. Soc., Ser. B. 58:267–288.
  • Tang, Y., Wang, H., Zhu, Z., Song, X. (2012). A unified variable selection approach for varying coefficient models. Stat. Sin. 22:601–628.
  • Tang, Y., Wang, H., Zhu, Z. (2013). Variable selection in quantile varying coefficient models with longitudinal data. Comput. Stat. Data Anal. 57:435–449.
  • Wei, Y., He, X. (2006). Conditional growth charts (with discussion). Ann. Stat. 19:801–817.
  • Wang, L., Li, H., Huang, J.Z. (2008). Variable selection in nonparametric varying coefficient models for analysis of repeated measurements. J. Am. Stat. Assoc. 103:1556–1569.
  • Wang, H., Xia, Y. (2009). Shrinkage estimation of the varying coefficient model. J. Am. Stat. Assoc. 104:747–757.
  • Wang, H., Zhu, Z., Zhou, J. (2009). Quantile regression in partially linear varying coefficient models. Ann. Stat. 37:3841–3866.
  • Xia, Y., Zhang, W., Tong, H. (2004). Efficient estimation for semivarying-coefficient models. Biometrika. 91:661–681.
  • Zou, H. (2006). The adaptive LASSO and its oracle properties. J. Am. Stat. Assoc. 101:1418–1429.
  • Zhao, P., Xue, L. (2009). Variable selection in semiparametric regression analysis for longitudinal data. Ann. Inst. Stat. Math. 64:213–231.
  • Zhao, W., Zhang, R., Lv, Y., Liu, J. (2012). Variable selection of the quantile varying coefficient regression models. J. Korean Stat. Assoc. 103:1556–1569.

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