A. Abadie, J. Angrist, and G. Imbens, Instrumental variables estimates of the effect of subsidized training on the quantiles of trainee earnings, Econometrica, vol.70, issue.1, pp.91-117, 2002.

T. Amemiya, Two stage least absolute deviations estimators, Econometrica, vol.50, issue.3, pp.689-711, 1982.

D. W. Andrews, Asymptotics for Semiparametric Econometric Models: II. Stochastic Equicontinuity and Nonparametric Kernel Estimation, Discussion paper at the cowles foundation for research in economics, 1990.

D. W. Andrews, Empirical process methods in econometrics, handbook of econometrics, volume IV, pp.2247-94, 1994.

J. D. Angrist and A. B. Krueger, Does compulsory school attendance affect schooling and earnings?, The Quarterly Journal of Economics, vol.106, issue.4, pp.979-1014, 1991.

O. Arias, K. F. Hallock, and W. Sosa-escudero, Individual heterogeneity in the returns to schooling: Instrumental variables quantile regression using twins data, Empirical Economics, vol.26, issue.1, pp.7-40, 2001.

G. Bassett and R. Koenker, Asymptotic theory of least absolute error regression, Journal of the American Statistical Association, vol.73, issue.363, pp.618-640, 1978.

R. Blundell, X. Chen, and D. Kristensen, Semi-nonparametric IV estimation of shape invariant Engel curves, Econometrica, vol.75, issue.6, pp.1613-69, 2007.

R. Blundell and J. L. Powell, Endogeneity in Nonparametric and Semiparametric Regression Models, Advances in economics and econometrics: Theory and applications, 2006.

L. Chen, Regression quantiles and trimmed least-squares estimators for structural equations and non-linear regression models, 1988.

L. Chen and S. Portnoy, Two-Stage Regression quantiles and two-Stage Trimmed least squares estimators for structural equation models, Communication in Statistics, vol.25, issue.5, pp.1005-1037, 1996.

X. Chen, L. P. Hansen, and M. Carrasco, Nonlinearity and temporal dependence, Journal of Econometrics, vol.155, issue.2, pp.155-69, 2010.

X. Chen, O. Linton, and I. Van-keilegom, Estimation of semi-parametric models when the criterion function is not smooth, Econometrica, vol.71, issue.5, pp.1591-608, 2003.

X. Chen and D. Pouzo, Efficient estimation of semiparametric conditional moment models with possibly nonsmooth residuals, Journal of Econometrics, vol.152, issue.1, pp.46-60, 2009.

M. Cheng and L. Peng, Variance reduction in multiparameter likelihood models, Journal of the American Statistical Association, vol.102, issue.477, pp.293-304, 2007.

V. Chernozhukov and C. Hansen, An IV model of quantile treatment effects, Econometrica, vol.73, issue.1, pp.245-61, 2005.

V. Chernozhukov and C. Hansen, Instrumental quantile regression inference for structural and treatment effect models, Journal of Econometrics, vol.132, issue.2, pp.491-525, 2006.

V. Chernozhukov and C. Hansen, Instrumental variable quantile regression: A robust inference approach, Journal of Econometrics, vol.142, issue.1, pp.379-98, 2008.

V. Chernozhukov and C. Hansen, The reduced form: A simple approach to inference with weak instruments, Economics Letters, vol.100, issue.1, pp.68-71, 2008.

V. Chernozhukov, G. W. Imbens, and W. K. Newey, Instrumental variable estimation of nonseparable models, Journal of Econometrics, vol.139, issue.1, pp.4-14, 2007.

T. Chevapatrakul, T. Kim, and P. Mizen, The Taylor principle and monetary policy approaching a zero bound on nominal rates: Quantile regression results for the United States and Japan, Journal of Money, Credit and Banking, vol.41, issue.8, pp.1705-1728, 2009.

G. Chortareas, G. Magonis, and T. Panagiotidis, The asymmetry of the new Keynesian Phillips curve in the euro area, Economics Letters, vol.114, issue.2, pp.161-164, 2012.

J. Garcia, P. J. Hernandez, and A. Lopez, How wide is the gap? An investigation of gender wage differences using quantile regression, Empirical Economics, vol.26, issue.1, pp.149-67, 2001.

E. J. Green and W. E. Strawderman, James-Stein type estimator for combining unbiased and possibly biased estimators, Journal of the American Statistical Association, vol.86, issue.416, pp.1001-1007, 1991.

J. V. Henderson, A. Storeygard, and D. N. Weil, Measuring economic growth from outer space, The American Economic Review, vol.102, issue.2, pp.994-1028, 2012.

N. L. Hjort and D. Pollard, Asymptotics for minimisers of convex processes. Discussion paper, 1999.

H. Hong and E. Tamer, Inference in censored models with endogenous regressors, Econometrica, vol.71, issue.3, pp.905-937, 2003.

B. E. Honore and L. Hu, On the performance of some robust instrumental variables estimators, Journal of Business and Economic Statistics, vol.22, issue.1, pp.30-39, 2004.

W. James and C. Stein, Estimation with quadratic loss, Proceedings of the fourth Berkeley symposium on mathematical statistics and probability, vol.1, 1960.

G. G. Judge and R. C. Mittelhammer, A semiparametric basis for combining estimation problems under quadratic loss, Journal of the American Statistical Association, vol.99, issue.466, pp.479-87, 2004.

J. Jureckova, Asymptotic relations of M-Estimates And R-Estimates In linear regression model, The Annals of Statistics, vol.5, issue.3, pp.464-72, 1977.

G. C. Kemp, Least absolute error difference estimation of a single equation from a simultaneous equations system, 1999.

T. Kim and C. Muller, Two-stage quantile regressions when the first stage is based on quantile regressions, The Econometrics Journal, vol.7, pp.18-46, 2004.

T. Kim and H. White, Estimation, inference, and specification testing for possibly misspecified quantile regression, Advances in Econometrics, vol.17, pp.107-139, 2003.

R. Koenker and G. Bassett, Regression quantiles, Econometrica, vol.46, issue.1, pp.33-50, 1978.

R. Koenker and Q. Zhao, Conditional quantile estimation and inference for ARCH models, Econometric Theory, vol.12, issue.05, pp.793-813, 1996.

S. Lee, Endogeneity in quantile regression models: a control function approach, Journal of Econometrics, vol.141, issue.2, pp.1131-58, 2007.

H. Liang, G. Zou, A. T. Wan, and X. Zhang, Optimal weight choice for frequentist model average estimators, Journal of the American Statistical Association, vol.106, issue.495, pp.1053-66, 2011.

L. Ma and R. Koenker, Quantile regression methods for recursive structural equation models, Journal of Econometrics, vol.134, issue.2, pp.471-506, 2006.

T. Macurdy and C. Timmins, Bounding the influence of attrition on intertemporal wage variation in the NLSY, 2000.

C. Muller and S. Bibi, Refining targeting against poverty: Evidence from Tunisia, Oxford Bulletin of Economics and Statistics, vol.72, issue.3, p.381, 2010.

S. Portnoy, Asymptotic behaviour of regression quantiles in non-Stationary, dependent cases, Journal of Multivariate Analysis, vol.38, issue.1, pp.100-113, 1991.

J. Powell, The asymptotic normality of two-Stage Least absolute deviations estimators, Econometrica, vol.51, issue.5, pp.1569-75, 1983.

S. M. Raheem, S. E. Ahmed, and K. A. Doksum, Absolute penalty and shrinkage estimation in partially linear models, Computational Statistics & Data Analysis, vol.56, issue.4, pp.874-91, 2012.

D. Ruppert and R. J. Carroll, Trimmed least squares estimation in the linear model, Journal of the American Statistical Association, vol.75, issue.372, pp.828-866, 1980.

S. Sakata, Instrumental variable estimation based on conditional median restriction, Journal of Econometrics, vol.141, issue.2, pp.350-82, 2007.

P. K. Sen and A. K. Saleh, On preliminary test and shrinkage M-estimation in linear models, The Annals of Statistics, vol.15, issue.4, pp.1580-92, 1987.

C. Stein, Inadmissibility of the usual estimator for the mean of a multivariate distribution, Proceedings of the third Berkeley symposium on mathematical statistics and probability, 1955.

T. Tong and Y. Wang, Optimal shrinkage estimation of variances with applications to microarray data analysis, Journal of the American Statistical Association, vol.102, issue.477, pp.113-135, 2007.

H. White, Asymptotic theory for econometricians, 2001.