Testing Based on Empirical Likelihood for Partially Linear Models with Instrumental Variables


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This paper considers the model testing for partially linear models with instrumental variables. By combining the instrumental variable method and the empirical likelihood method, an instrumental variable type testing procedure is proposed. The proposed testing procedure can attenuate the effect of endogeneity of covariates. Some simulations imply that the instrumental variable based empirical likelihood testing method is more poweful.



Edited by:

Li Qiang




P. X. Zhao, "Testing Based on Empirical Likelihood for Partially Linear Models with Instrumental Variables", Applied Mechanics and Materials, Vol. 624, pp. 500-504, 2014

Online since:

August 2014





* - Corresponding Author

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

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

DOI: https://doi.org/10.1111/1468-0262.00237

[3] J.P. Florens, J. Johannes, S. Bellegem, Instrumental regression in partially linear models, The Econometrics Journal. 15 (2012) 304-324.

DOI: https://doi.org/10.1111/j.1368-423x.2011.00358.x

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

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

DOI: https://doi.org/10.1007/s12190-013-0652-6

[6] A.B. Owen, Empirical likelihood ratio confidence intervals, Biometrika. 75 (1988) 237-249.

DOI: https://doi.org/10.1093/biomet/75.2.237

[7] A.B. Owen, Empirical likelihood for linear models, Ann. Statist. 19 (1991) 1725-1747.

[8] J. Fan, J. Zhang, Sieve empirical likelihood ratio test for nonparametric function, Ann. Statist. 32 (2004) 1858-(1907).

DOI: https://doi.org/10.1214/009053604000000210

[9] L.X. Zhu, Y.S. Qin, W.L. Xu, The empirical likelihood goodness-of-fit test for regression model, Science in China Series A: Mathematics. 50 (2007) 829-840.

DOI: https://doi.org/10.1007/s11425-007-0044-1

[10] M.Q. Li, L. Peng, Empirical likelihood test via estimating equations, Journal of Statistical Planning and Inference. 141 (2011) 2428-2439.

DOI: https://doi.org/10.1016/j.jspi.2011.02.001

[11] W.L. Xu, L.X. Zhu, Goodness-of-fit testing for varying-coefficient models, Metrika. 68 (2008) 129-146.

DOI: https://doi.org/10.1007/s00184-007-0147-2