Penalized Estimation Based Variable Selection for Semiparametric Regression Models with Endogenous Covariates

Article Preview

Abstract:

In this paper, we study the variable selection problem for the parametric components of semiparametric regression models with endogenous variables. Based on the penalized empirical likelihood technology and the bias adjustment method, we propose a penalized empirical likelihood based variable selection procedure. Simulation studies show that the proposed variable selection procedure is workable, and the resulting estimator is consistent.

You might also be interested in these eBooks

Info:

Periodical:

Advanced Materials Research (Volumes 1079-1080)

Pages:

843-846

Citation:

Online since:

December 2014

Authors:

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2015 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] S. Greenland: An introduction to instrumental variables for epidemiologists. International Journal of Epidemiologists. Vol. 29 (2000), pp.722-729.

DOI: 10.1093/ije/29.4.722

Google Scholar

[2] M.A. Hernan and J.M. Robins: Instruments for causal inference-an epidemiologists dream? Epidemiology. Vol. 17 (2006), pp.360-372.

Google Scholar

[3] J.P. Newhouse and M. McClellan: Econometrics in outcomes research: the use of instrumental variables. Annual Review of Public Health. Vol. 19 (1998), pp.17-24.

DOI: 10.1146/annurev.publhealth.19.1.17

Google Scholar

[4] T.P. Schultz: Human capital, schooling and health. IUSSP, XXIII, General Population Conference. Yale University (1997).

Google Scholar

[5] D. Card: Estimating the return to schooling: progress on some persistent econometric problems. Econometrica. Vol. 69 (2001), pp.1127-1160.

DOI: 10.1111/1468-0262.00237

Google Scholar

[6] F. Yao: Efficient semiparametric instrumental variable estimation under conditional heteroskedasticity. Journal of Quantitative Economics. Vol. 10 (2012), pp.32-55.

Google Scholar

[7] P.X. Zhao and L.G. Xue: Empirical likelihood inferences for semiparametric instrumental variable models. Journal of Applied Mathematics and Computing. Vol. 43 (2013), pp.75-90.

DOI: 10.1007/s12190-013-0652-6

Google Scholar

[8] Z. Cai and H. Xiong: Partially varying coefficient instrumental variables models. Statistca Neerlandica. Vol. 66 (2012), pp.85-110.

DOI: 10.1111/j.1467-9574.2011.00497.x

Google Scholar

[9] J.Q. Fan and R. Li: Variable selection via nonconcave penalized likelihood and its oracle properties. J. Amer. Statist. Asso. Vol. 96 (2001), pp.1348-1360.

DOI: 10.1198/016214501753382273

Google Scholar

[10] P.X. Zhao and L.G. Xue: Variable selection in semiparametric regression analysis for longitudinal data. Annals of the Institute of Statistical Mathematics. Vol. 64 (2012), pp.213-231.

DOI: 10.1007/s10463-010-0312-7

Google Scholar