Estimation for the censored partially linear quantile regression models

References

• Bang, H., Tsiatis, A. (2002). Median regression with censored cost data. Biometrics 58:643–649.
   Google Scholar
• Bilias, Y., Chen, S., Ying, Z. (2000). Simple resampling methods for censored regression quantiles. Journal of Econometrics 99:373–386.
   Google Scholar
• Chen, S., Khan, S. (2001). Semiparametric estimation of a partially linear censored regression model. Econometric Theory 17:567–590.
   Google Scholar
• Du, J., Zhang, Z. Z., Xie, T. F. (2012). Focused information criterion and model averaging in quantile regression. Communications in Statistics-Theory and Methods 42:3716–3734.
   Google Scholar
• He, X., Fung, W. K., Zhu, Z. Y. (2005). Robust estimation in generalized partial linear models for clustered data. Journal of the American Statistical Association 100:1176–1184.
   Google Scholar
• He, X., Zhu, Z. Y., Fung, W. K. (2002). Estimation in a semiparametric model for longitudinal data with unspecified dependence structure. Biometrika 89:579–590.
   Google Scholar
• He, X., Shi, P. D. (1994). Convergence rate of B-spline estimators of nonparametric conditional quantile functions. Journal of Nonparametric Statistics 3:299–308.
   Google Scholar
• He, X., Shi, P. D. (1996). Bivariate tensor-product B-splines in a partly linear model. Journal of Multivariate Analysis 58:162–181.
   Google Scholar
• Jin, Z., Lin, D. Y., Wei, L. J., and Ying, Z. (2003). Rank-based inference for the accelerated failure time models. Biometrika 90:341–353.
   Google Scholar
• Jin, Z., Ying, Z., Wei, L. J. (2001). A simple resampling method by perturbing the minimand. Biometrika 88:381–390.
   Google Scholar
• Kaplan, E. L., Meier, P. (1958). Nonparametric estimation from incomplete observations. Journal of the American Statistical Association 53:457–481.
   Google Scholar
• Neocleous, T., Portnoy, S. (2009). A partly linear model for censored regression quantiles. Lifetime Data Analysis 15:357–378.
   Google Scholar
• Peng, L., Huang, Y. (2008). Survival analysis with quantile regression models. Journal of the American Statistical Association 103:637–649.
   Google Scholar
• Portnoy, S. (2003). Censored regression quantiles. Journal of the American Statistical Association 98:1001–1012.
   Google Scholar
• Powell, J. L. (1984). Least absolute deviations estimation for the censored regression model. Journal of Econometrics 25:303–325.
   Google Scholar
• Schumaker, L. L. (1981). Spline Functions: Basic Theory. New York: Wiley.
   Google Scholar
• Shows, J., Lu, W., Zhang, H. (2010). Sparse estimation and inference for censored median regression. Journal of Statistical Planning and Inference 140:1903–1917.
   Google Scholar
• Speckman, P. (1988). Kernel smoothing in partial linear models. Journal of Royal Statistical Society, Series B 50:413–436.
   Google Scholar
• Stone, C. (1985). Additive regression and other nonparametric models. Annals of Statistics 13:689–705.
   Google Scholar
• Therneau, T. M., Grambsch, P. M. (2001). Introduction to Nonparametric Regression. New York: Springer.
   Google Scholar
• Tibshirani, R. (1997). The LASSO method for variable selection in the Cox model. Statistics in Medicine 16:385–395.
   Google Scholar
• Wang, H., Fygenson, M. (2009). Inference for censored quantile regression models in longitudinal studies. Annals of Statistics 37:756–781.
   Google Scholar
• Wang, H., Wang, L. (2009). Locally weighted censored quantile regression. Journal of the American Statistical Association 104:1117–1128.
   Google Scholar
• Wang, H., Zhu, Z., Zhou, J. (2009). Quantile regression in partially linear varying coefficient models. Annals of Statistics 37:3841–3866.
   Google Scholar
• Xu, J., Leng, C., Ying, Z. (2010). Rank-based variable selection in the accelerated failure time model. Statistics and Computing 20:165–176.
   Google Scholar
• Ying, Z., Jung, S. H., Wei, L. J. (1995). Survival analysis with median regression models. Journal of the American Statistical Association 90:178–184.
   Google Scholar
• Zhang, H., Lu, W. (2007). Adaptive LASSO for Cox’s proportional hazards model. Biometrika 94:1–13.
   Google Scholar
• Zou, H., Yuan, M. (2008). Composite quantile regression and the oracle model selection theory. Annals of Statistics 36:1108–1126.
   Google Scholar