An MCMC approach to classical estimation

Abadie, A., 1995. Changes in spanish labor income structure during the 1980s: a quantile regression approach. CEMFI Working Paper. Amemiya, 1977, The maximum likelihood and the nonlinear three-stage least squares estimator in the general nonlinear simultaneous equation model, Econometrica, 45, 955, 10.2307/1912684 Amemiya, 1985 Anderson, 1955, The integral of a symmetric unimodal function over a symmetric convex set and some probability inequalities, Proceedings of American Mathematical Society, 6, 170, 10.1090/S0002-9939-1955-0069229-1 Andrews, D.W.K., 1994a. Empirical process methods in econometrics. In: Engle, R., McFadden, D. (Eds.), Handbook of Econometrics, Vol. 4. North-Holland, Amsterdam, pp. 2248–2292. Andrews, 1994, The large sample correspondence between classical hypothesis tests and Bayesian posterior odds tests, Econometrica, 62, 1207, 10.2307/2951513 Andrews, 1997, A stopping rule for the computation of generalized method of moments estimators, Econometrica, 65, 913, 10.2307/2171944 Andrews, 1999, Estimation when a parameter is on a boundary, Econometrica, 66, 1341, 10.1111/1468-0262.00082 Berger, J.O., 2002. Bayesian analysis: a look at today and thoughts of tomorrow. In: Statistics in the 21st Century. Chapman & Hall, New York, pp. 275–290. Berndt, 1974, Estimation and inference in nonlinear structural models, Annals of Economic and Social Measurement, 3, 653 Bernstein, S., 1917. Theory of Probability, 4th Edition (1946). Gostekhizdat, Moscow–Leningrad (in Russian). Berry, 1995, Automobile prices in market equilibrium, Econometrica, 63, 841, 10.2307/2171802 Bickel, 1969, Some contributions to the asymptotic theory of Bayes solutions, Z. Wahrsch. Verw. Geb, 11, 257, 10.1007/BF00531650 Billingsley, 1994 Buchinsky, M., 1991. Theory of and practice of quantile regression. Ph.D. Dissertation, Department of Economics, Harvard University. Buchinsky, 1998, An alternative estimator for the censored regression model, Econometrica, 66, 653, 10.2307/2998578 Bunke, 1998, Asymptotic behavior of Bayes estimates under possibly incorrect models, The Annals of Statistics, 26, 617, 10.1214/aos/1028144851 Chamberlain, G., Imbens, G., 1997. Nonparametric applications of Bayesian inference, NBER Working Paper. Chernozhukov, V., Hansen, C., 2001. An IV model of quantile treatment effects. MIT Department of Economics, Working Paper. Chernozhukov, 2001, Conditional value-at-risk, Empirical Economics, 26, 271, 10.1007/s001810000062 Chib, S., 2001. Markov chain Monte Carlo methods: computation and inference. In: Heckman, J.J., Leamer, E. (Eds.), Handbook of Econometrics, Vol. 5. North-Holland, Amestradam, pp. 3564–3634 (Chapter 5). Christoffersen, P., Hahn, J., Inoue, A., 1999. Testing, comparing and combining value at risk measures. Working Paper, Wharton School, University of Pennsylvania. Diaconis, 1986, On the consistency of Bayes estimates, Annals of Statistics, 14, 1, 10.1214/aos/1176349830 Doksum, 1990, Consistent and robust Bayes procedures for location based on partial information, Annals of Statistics, 18, 443, 10.1214/aos/1176347510 Engle, R., Manganelli, S., 2001. Caviar: conditional value at risk by regression quantiles. Working Paper, Department of Economics UC San Diego. Fitzenberger, B., 1997. A guide to censored quantile regressions. In: Robust Inference, Handbook of Statistics. Vol. 14. North-Holland, Amsterdam, pp. 405–437. Gallant, 1988 Geweke, J., Keane, M., 2001. Computationally intensive methods for integration in econometrics. In: Heckman, J.J., Leamer, E. (Eds.), Handbook of Econometrics, Vol. 5. North-Holland, Amesterdam, pp. 3465–3564 (Chapter 5). Goffe, 1994, Global optimization of statistical functions with simulated annealing, Journal of Econometrics, 60, 65, 10.1016/0304-4076(94)90038-8 Hahn, 1997, Bayesian bootstrap of the quantile regression estimator, International Economic Review, 38, 795, 10.2307/2527216 Hansen, 1982, Large sample properties of generalized method of moments estimators, Econometrica, 50, 1029, 10.2307/1912775 Hansen, 1996, Finite-sample properties of some alternative GMM estimators, Journal of Business and Economic Statistics, 14, 262, 10.2307/1392442 Hogg, 1975, Estimates of percentile regression lines using salary data, Journal of American Statistical Association, 70, 56, 10.2307/2285375 Huber, 1973, Robust regression, Annals of Statistics, 1, 799, 10.1214/aos/1176342503 Ibragimov, 1981 Imbens, 1997, One-step estimators for over-identified generalized method of moments models, Review of Economic Studies, 64, 359, 10.2307/2971718 Imbens, 1998, Information theoretic approaches to inference in moment condition models, Econometrica, 66, 333, 10.2307/2998561 Jureckova, 1977, Asymptotic relations of M-estimators and R-estimators in linear regression models, Annals of Statistics, 5, 464, 10.1214/aos/1176343843 Khan, 2001, Two step estimation of semiparametric censored regression models, Journal of Econometrics, 103, 73, 10.1016/S0304-4076(01)00040-9 Kim, 1998, Large sample properties of posterior densities, Bayesian information criterion and the likelihood principle in nonstationary time series models, Econometrica, 66, 359, 10.2307/2998562 Kim, 2002, Limited information likelihood and Bayesian analysis, Journal of Econometrics, 107, 175, 10.1016/S0304-4076(01)00119-1 Kitamura, 1997, Empirical likelihood methods with weakly dependent processes, Annals of Statistics, 25, 2084, 10.1214/aos/1069362388 Kitamura, 1997, An information-theoretic alternative to generalized method of moments estimation, Econometrica, 65, 861, 10.2307/2171942 Knight, K., 1999. Epi-convergence and stochastic equisemicontinuity. Working Paper, Department of Statistics University of Toronto. Koenker, R., 1994. Confidence intervals for quantile regression. In: Proceedings of the Fifth Prague Symposium on Asymptotic Statistics. Physica-Verlag, Heidelberg, pp. 10–20. Koenker, R., 1998. Treating the treated, varieties of causal analysis. Lecture Note, Department of Economics, University of Illinois. Koenker, 1978, Regression quantiles, Econometrica, 46, 33, 10.2307/1913643 Kottas, 2001, Bayesian semiparametric median regression modeling, Journal of the American Statistical Association, 96, 1458, 10.1198/016214501753382363 Lehmann, 1998 Macurdy, T., Timmins, C., 2001. Bounding the influence of attrition on the intertemporal wage variation in the NLSY. Working Paper, Department of Economics, Yale University. Mood, 1950 Newey, 1991, Uniform convergence in probability and stochastic equicontinuity, Econometrica, 59, 1161, 10.2307/2938179 Newey, W.K., McFadden, D., 1994. Large sample estimation and hypothesis testing. In: Engle, R., McFadden, D. (Eds.), Handbook of Econometrics, Vol. 4. North-Holland, Amsterdam, pp. 2113–2241. Newey, 1990, Efficient estimation of linear and type I censored regression models under conditional quantile restrictions, Econometric Theory, 6, 295, 10.1017/S0266466600005284 Newey, W.K., Smith, R., 2001. Higher order properties of GMM and generalized empirical likelihood estimators. Working Paper, Department of Economics, MIT. Newey, 1987, A simple, positive semidefinite, heteroskedasticity and autocorrelation consistent covariance matrix, Econometrica, 55, 703, 10.2307/1913610 Owen, A., 1989. Empirical likelihood ratio confidence regions. In: Proceedings of the 47th Session of the International Statistical Institute, Vol. 53, 1989, Paris, Book 3, pp. 373–393. Owen, 1990, Empirical likelihood ratio confidence regions, Annals of Statistics, 18, 90, 10.1214/aos/1176347494 Owen, 1991, Empirical likelihood for linear models, Annals of Statistics, 19, 1725, 10.1214/aos/1176348368 Owen, 2001 Pakes, 1989, Simulation and the asymptotics of optimization estimators, Econometrica, 57, 1027, 10.2307/1913622 Phillips, 1996, An asymptotic theory of Bayesian inference for time series, Econometrica, 64, 381, 10.2307/2171788 Pollard, 1991, Asymptotics for least absolute deviations regression estimator, Econometric Theory, 7, 186, 10.1017/S0266466600004394 Pötscher, 1997 Powell, 1984, Least absolute deviations estimation for the censored regression model, Journal of Econometrics, 25, 303, 10.1016/0304-4076(84)90004-6 Press, 1992 Qin, 1994, Empirical likelihood and general estimating equations, Annals of Statistics, 22, 300, 10.1214/aos/1176325370 Robert, 1999 Rousseeuw, 1999, Regression depth, Journal of the American Statistical Association, 94, 388, 10.2307/2670155 Sims, C., 1999. Adaptive Metropolis–Hastings, or Monte Carlo kernel estimation. Working Paper, Department of Economics Princeton University. Stigler, 1975, Studies in the history of probability and statistics. XXXIV. Napoleonic statistics: the work of Laplace, Biometrika, 62, 503 van Aelst, 2002, The deepest regression method, Journal of Multivariate Analysis, 81, 138, 10.1006/jmva.2001.1997 van der Vaart, 1999 van der Vaart, 1996 von Mises, 1931 White, 1994, Estimation, Inference and Specification Analysis, Vol. 22 Zellner, 1998, Past and recent results on maximal data information priors, Journal of Statistics Research, 32, 1