Orthogonal weighted empirical likelihood-based variable selection for semiparametric instrumental variable models

References

• Cai, Z., and H. Xiong. 2012. Partially varying coefficient instrumental variables models. Statistca Neerlandica 66:85–110.
   Web of Science ®Google Scholar
• Card, D. 1995. Using geographic variation in college proximity to estimate the return to schooling. In Aspects of Labor Market Behaviour: Essays in Honour of John Vanderkamp, eds. L. Christofides, E. Grant, and R. Swidinsky, 201–22. Toronto: University of Toronto Press.
   Google Scholar
• Card, D. 2001. Estimating the return to schooling: progress on some persistent econometric problems. Econometrica 69:1127–60.
   Web of Science ®Google Scholar
• Fan, J. Q., and R. Li. 2001. Variable selection via nonconcave penalized likelihood and its oracle properties. Journal of the American Statistical Association 96:1348–60.
   Web of Science ®Google Scholar
• Greenland, S. 2000. An introduction to instrumental variables for epidemiologists. International Journal of Epidemiologists 29:722–9.
   PubMed Web of Science ®Google Scholar
• Hernan, M. A., and J. M. Robins. 2006. Instruments for causal inference-an epidemiologists dream? Epidemiology 17:360–72.
   PubMed Web of Science ®Google Scholar
• Hou, W., L. X. Song, X. Y. Hou, and X. G. Wang. 2014. Penalized empirical likelihood via bridge estimator in Coxs proportional hazard model. Communications in Statistics-Theory and Methods 43:426–40.
   Web of Science ®Google Scholar
• Newhouse, J. P., and M. McClellan. 1998. Econometrics in outcomes research: the use of instrumental variables. Annual Review of Public Health 19:17–24.
   PubMed Web of Science ®Google Scholar
• Schultz, T. P. 1997. Human capital, schooling and health. IUSSP, XXIII, General Population Conference, Yale University.
   Google Scholar
• Wu, P., and L. X. Zhu. 2010. An orthogonality-based estimation of moments for linear mixed models. Scandinavian Journal of Statistics 37:253–63.
   Web of Science ®Google Scholar
• Xi, R., Y. Li, and Y. Hu. 2016. Bayesian quantile regression based on the empirical likelihood with spike and slab priors. Bayesian Analysis 11:821–55.
   Web of Science ®Google Scholar
• Xue, L. G., and L. X. Zhu. 2007. Empirical likelihood for a varying coefficient model with longitudinal data. Journal of the American Statistical Association 102:642–54.
   Web of Science ®Google Scholar
• Xue, L. G. 2010. Empirical likelihood local polynomial regression analysis of clustered data. Scandinavian Journal of Statistics 37:644–63.
   Web of Science ®Google Scholar
• Yang, J., and H. Yang. 2016. Smooth-threshold estimating equations for varying coefficient partially nonlinear models based on orthogonality-projection method. Journal of Computational and Applied Mathematics 302:24–37.
   Web of Science ®Google Scholar
• Yao, F. 2012. Efficient semiparametric instrumental variable estimation under conditional heteroskedasticity. Journal of Quantitative Economics 10:32–55.
   Google Scholar
• Yao, F., and J. S. Zhang. 2010. Efficient semiparametric instrumental variable estimation. Working Paper. Economics Department, West Virginia University. http://www.be.wvu.edu/div/econ/work/pdf_files/10-11.pdf
   Google Scholar
• Yuan, J. Y., P. X. Zhao, and W. G. Zhang. 2016. Semiparametric variable selection for partially varying coefficient models with endogenous variables. Computational Statistics 31:693–707.
   Web of Science ®Google Scholar
• Zhao, P. X., and L. G. Xue. 2010. Empirical likelihood inferences for semiparametric varying-coefficient partially linear models with longitudinal data. Communications in Statistics-Theory and Methods 39:1898–914.
   Web of Science ®Google Scholar
• Zhao, P. X., and L. G. Xue. 2012. Variable selection in semiparametric regression analysis for longitudinal data. Annals of the Institute of Statistical Mathematics 64:213–31.
   Web of Science ®Google Scholar
• Zhao, P. X. 2013. Empirical likelihood based variable selection for varying coefficient partially linear models with censored data. Journal of Mathematical Research with Applications 33:493–504.
   Google Scholar
• Zhao, P. X., and G. R. Li. 2013. Modified SEE variable selection for varying coefficient instrumental variable models. Statistical Methodology 12:60–70.
   Web of Science ®Google Scholar
• Zhao, P. X., and L. G. Xue. 2013. Empirical likelihood inferences for semiparametric instrumental variable models. Journal of Applied Mathematics and Computing 43:75–90.
   Google Scholar
• Zhao, P. X., and L. G. Xue. 2009. Variable selection for semiparametric varying coefficient partially linear models. Statistics & Probability Letters 79:2148–57.
   Web of Science ®Google Scholar
• Zhao, Y. Y., J. G. Lin, P. R. Xu, X. G. Ye. 2015. Orthogonality-projection-based estimation for semi-varying coefficient models with heteroscedastic errors. Computational Statistics and Data Analysis 89:204–21.
   Web of Science ®Google Scholar