Asymptotics of the regression quantile basic solution under misspecification

J. Angrist, V. Chernozhukov, I. Fernández-Val: Quantile regression under misspecification with an application to the U.S. wage structure. Econometrica 74 (2006), 539–563. G. Bassett Jun., R. Koenker: Asymptotic theory of least absolute error regression. J. Am. Stat. Assoc. 73 (1978), 618–622. V. Chernozhukov, I. Fernández-Val: Subsampling inference on quantile regression processes. Sankhya 67 (2005), 253–276. G. B. Dantzig: Linear Programming and Extensions. Princeton University Press, Princeton, 1951. A. V. Fiacco, G. P. McCormick: Nonlinear Programming: Sequential Unconstrained Minimization Techniques. Wiley, New York, 1968. W. K. Hastings: Monte Carlo sampling methods using Markov chains and their applications. Biometrika 57 (1970), 97–109. N. Karmarker: A new polynomial time algorithm for linear programming. Combinatorica 4 (1984), 373–395. E. V. Khmaladze: An innovative approach to goodness-of-fit tests in ℝm. Ann. Stat. 16 (1988), 1503–1516. K. Knight, C. Goh: Asymptotics of quantile regression solutions with application. Manuscript in preparation. R. Koenker: Quantile Regression. Cambridge University Press, Cambridge, 2005. R. Koenker, G. W. Bassett: Regression quantiles. Econometrica 46 (1978), 33–50. R. Koenker, V. d’Orey: Computing regression quantiles. Appl. Stat. 36 (1987), 383–393. R. Koenker, B. J. Park: An interior point algorithm for nonlinear quantile regression. J. Econom. 71 (1996), 265–283. R. Koenker, Z. Xiao: Inference on the quantile regression process. Econometrica 70 (2002), 1583–1612. N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller, E. Teller: Equations of state calculations by fast computing machines. J. Chem. Phys. 21 (1953), 1087–1092. A. B. Mukhin: Local limit theorems for distributions of sums of independent random vectors. Theory Probab. Appl. 29 (1985), 369–375. A. Mukhin: Local limit theorems for lattice random variables. Theory Probab. Appl. 36 (1991), 698–713.