Generalized method of moments, efficient bootstrapping, and improved inference

Journal of Business and Economic Statistics

Volumn 20, Issue 4, 2002, Pages 507-517

  Brown, Bryan W ^a   Newey, Whitney K ^a  

^a RICE UNIVERSITY   (United States)

Author keywords

Bootstrapping; Empirical likelihood; Panel data

Indexed keywords

EID: 0036790421     PISSN: 07350015     EISSN: None     Source Type: Journal    
DOI: 10.1198/073500102288618649     Document Type: Article

References (81)

1. Abowd, J., and Card, D. (1989), "On the Covariance Structure of Earnings and Hours Changes," Econometrica, 57, 411-445.
2. Ahn, S.C., and Schmidt, P. (1995), "Efficient Estimation of Models for Dynamic Panel Data," Journal of Econometrics, 68, 5-27.
3. Amemiya, T. (1974), "The Nonlinear Two-Stage Least Squares Estimator," Journal of Econometrics, 2, 105-110.
4. Anderson T.W., and Hsiao, C. (1982), "Formulation and Estimation of Dynamic Models Using Panel Data," Journal of Econometrics, 18, 47-82.
5. Anderson, T.W., and Sawa, T. (1979), "Evaluation of the Distribution Function of the Two-Stage Least Squares Estimate," Econometrica, 47, 163-182.
6. Andrews, D.W.K., and Buchinsky, M. (2000), "A Three-Step Method for Choosing the Number of Bootstrap Replications," Econometrica, 68, 23-51.
7. Angrist, J., and Krueger, A. (1991), "Does Compulsory School Attendance Affect Schooling and Earnings?" Quarterly Journal of Economics, 106, 979-1014.
8. Arellano, M., and Honore, B. (2001), "Panel Data Models: Some Recent Developments," in Handbook of Econometrics, Vol. 5.
9. Back, K., and Brown, D.P. (1993), "Implied Probabilities in GMM Estimators," Econometrica, 61, 971-976.
10. Bekker, P.A. (1994), "Alternative Approximations to the Distributions of Instrumental Variable Estimators," Econometrica, 62, 657-681.
11. Bera, A.K., and Bilias, Y. (2002), "The MM, ME, ML, EL, EF and GMM Approaches to Estimation: A Synthesis," Journal of Econometrics, 107, 51-86.
12. Beran, R. (1988), "Prepivoting Test Statistics: A Bootstrap View of Asymptotic Refinements," Journal of the American Statistical Association, 83, 687-697.
13. Blundell, R., Bond, S., Devereux, M., and Schiantarelli, F. (1992), "Investment and Tobin's Q: Evidence From Company Panel Data." Journal of Econometrics, 51, 233-257.
14. Bond, S., and Windjmeier, F. (2001), "Finite Sample Inference for GMM Estimators in Linear Dynamic Panel Data Models," working paper, Institute for Fiscal Studies.
15. Bound, J., Jaeger, D., and Baker, R. (1996), "Problems With Instrumental Variables Estimation When the Correlation Between Instruments and the Endogenous Explanatory Variable Is Weak," Journal of the American Statistical Association, 90, 443-450.
16. Brown, B.W., and Newey, W.K. (1992), "Bootstrapping for GMM," notes for a seminar at Monash University.
17. _ (1998), "efficient Semiparametric Estimation of Expectations," Econometrica, 66, 453-464.
18. _ (2001), "efficient Estimation of Nuisance Parameters in Semiparametr̀ic Models," mimeo, Rice University.
19. Burguette, J., Gallant, A.R., and Souza, G. (1982), "On the Unification of the Asymptotic Theory of Nonlinear Econometric Models," Econometric Reviews, 1, 151-190.
20. Chamberlain, G. (1982), "Multivariate Regression Models for Panel Data," Journal of Econometrics, 18, 5-42.
21. _ (1987), "Asymptotic Efficiency in Estimation With Conditional Moment Restrictions," Journal of Econometrics, 34, 305-334.
22. Chiang, C.L. (1956), "On Regular Best Asymptotically Normal Estimates," Annals of Mathematical Statistics, 27, 336-351.
23. Cosslett, S.R. (1981), "Maximum Likelihood Estimation for Choice-Based Samples," Econometrica, 49, 1289-1316.
24. Cragg, J.G. (1983), "More Efficient Estimation in the Presence of Heteroskedasticity of Unknown Form," Econometrica, 51, 751-763.
25. Davidson, R., and MacKinnon, J.G. (1999), "The Size Distortion of Bootstrap Tests," Econometric Theory, 15, 361-376.
26. Eicheubaum, M., and Hansen, L.P. (1990), "Estimating Models With Intertemporal Substitution Using Aggregate Time Series Data," Journal of Business and Economic Statistics, 8, 53-69.
27. Ferguson, T.S. (1958), "A Method of Generating Best Asymptotically Normal Estimates With Application to the Estimation of Bacterial Densities," Annals of Mathematical Statistics, 29, 1046-1062.
28. Gourieroux, C., and Monfort, A. (1995), Statistics and Econometric Models, Cambridge, UK: Cambridge University Press.
29. Hahn, J. (1996), "A Note on Bootstrapping Generalized Method of Moments Estimators," Econometric Theory, 12, 187-196.
30. Hahn, J., and Hausman, J.A. (2002), "A New Specification Test for the Validity of Instrumental Variables," Econometrica, 70, 163-189.
31. Hall, A.R., and Inoue, A. (2001), "A Canonical Correlations Interpretation of Generalized Method of Moments Estimation With Applications to Moment Selection," mimeo, North Carolina State University.
32. Hall, P. (1986), "On the Bootstrap and Confidence Intervals," The Annals of Statistics, 14, 1431-1452.
33. _ (1992), The Bootstrap and Edgeworth Expansion, New York: Springer-Verlag.
34. Hall, P., and Horowitz, J. (1996), "Bootstrap Critical Values for Tests Based on Generalized Method of Moments," Econometrica, 64, 891-916.
35. Hall, P., and Presnell, B. (1999), "Intentionally Biased Bootstrap Methods," Journal of the Royal Statistical Society, Ser. B, 61, 143-158.
36. Hansen, L.P. (1982), "Large Sample Properties of Generalized Method of Moments Estimators" Econometrica, 50, 1029-1054.
37. Hansen, L.P., Heaton, J., and Yaron, A. (1996), "Finite-Sample Properties of Some Alternative GMM Estimators," Journal of Business & Economic Statistics, 14, 262-280.
38. Hansen, L.P., and Scheinkman, J.A. (1995), "Back to the Future: Generating Moment Implications for Continuous Time Markov Proceses," Econometrica, 63, 767-804.
39. Hansen, L.P., and Singleton, K.J. (1982), "Generalized Instrumental Variables Estimation of Nonlinear Rational Expectations Models," Econometrica, 50, 1269-1286.
40. Hausman, J.A., and Taylor, W. (1981), "Panel Data and Unobservable Individual Effects," Econometrica, 49, 1377-1398.
41. Holtz-Eakin, D., Newey, W.K., and Rosen, H.S. (1988), "Estimating Vector Autoregressions With Panel Data," Econometrica, 56, 1371-1396.
42. Horowitz, J. (1996), "Bootstrap Methods in Econometrics: Theory and Numerical Performance," in Advances in Economics and Econometrics: Theory and Applications, Seventh World Congress, eds. D.M. Kreps and K.F. Wallis, Cambridge, UK: Cambridge University Press.
43. Huber, P.J. (1967), "The Behavior of Maximum Likelihood Estimators Under Nonstandard Conditions," in Fifth Berkeley Symposium on Mathematical Statistics and Probability, Berkeley, CA: University of California Press, pp. 221-233.
44. Imbens, G.W. (1992), "An Efficient Method of Moments Estimator for Discrete Choice Models With Choice Based Sampling," Econometrica, 60, 1187-1214.
45. _ (1997), "One-Step Estimators for Over-Identified Generalized Method of Moments Models," Review of Economic Studies, 64, 359-383.
46. _ (2002), "GMM and Empirical Likelihood," working paper.
47. Imbens, G., and Spady, R. (2001), "The Performance of Empirical Likelihood and Its Generalizations," presented at the Berkeley conference on estimation and inference.
48. Imbens, G.W., Spady, R., and Johnson, P. 1998), "Information-Theoretic Approaches to Inference in Moment Condition Models," Econometrica, 66, 333-357.
49. Kleibergen, F. (2001a), "Pivotal Statistics for Testing Structural Parameters in Instrumental Variables Regression," Discussion Paper 2000-055/4, rev. ed., Tinbergen Institute.
50. _ (2001b), "Testing Parameters in GMM Without Assuming That They Are Identified," Discussion Paper 2001-067/4, Tinbergen Institute.
51. Kitamura, Y., and Stutzer, M. (1997), "An Information-Theoretic Alternative to Generalized Method of Moments Estimation," Econometrica, 65, 861-874.
52. Maasoumi, E., and Phillips, P.C.B. (1982), "On the Behavior of Inconsistent Instrumental Variables Estimates," Journal of Econometrics, 19, 183-203.
53. MaCurdy, T.E. (2000), "Using Information on the Moments of Disturbances to Increase the Efficiency of Estimation," in Nonlinear Statistical Modeling, eds. C. Hsiao, K. Morimune, and J.L. Powell, Cambridge, UK: Cambridge University Press.
54. Malinvaud, E. (1970), Statistical Methods of Econometrics, Amsterdam: North-Holland.
55. Manski, C. (1988), Analog Estimation Methods in Econometrics, New York: Chapman and Hall.
56. Moreira, M.J. (2001), "Tests With Correct Size When Instruments Can Be Arbitrarily Weak," mimeo, University of California Berkeley.
57. Nagar, A.L. (1959), "The Bias and Moment Matrix of the General k Class Estimators of the Parameters in Simultaneous Equations" Econometrica, 27, 573-595.
58. Newey, W.K. (1985a), "Generalized Method of Moments Specification Testing," Journal of Econometrics, 29, 229-256.
59. _ (1985b), "Maximum Likelihood Specification Testing and Conditional Moment Tests," Econometrica, 53, 1047-1070.
60. _ (1988), "Adaptive Estimation of Regression Models via Moment Restrictions," Journal of Econometrics, 38, 301-339.
61. _ (1993), "Efficient Estimation of Models With Conditional Moment Restrictions," in Handbook of Statistics, Vol. 11: Econometrics, eds. G.S. Maddala, C.R. Rat, and H.D. Vinod, Amsterdam: North-Holland.
62. Newey, W.K., and Chipty, T. (2002), "Efficient Estimation of Semiparametric Models Via Moment Restrictions" working paper, Massachusetts Institute of Technology.
63. Newey, W.K., and Donald, S.G. (2001), "Choosing the Number of Instruments," Econometrica, 69, 1161-1191.
64. Newey, W.K., and McFadden, D. (1994), "Estimation and Inference in Large Samples," in Handbook of Econometrics, Vol. 4, eds. R. Engle and D. McFadden, New York: North Holland, pp. 2111-2445.
65. Newey, W.K., and Smith, R.J. (2001), "Higher-Order Properties of GMM and Generalized Empirical Likelihood Estimators," working paper, Massachusetts Institute of Technology, Department of Economics.
66. Newey, W.K., and West, K.D. (1987), "Hypothesis Testing With Efficient Method of Moments Estimation," International Economic Review, 28, 777-787.
67. Owen, A. (1988), "Empirical Likelihood Ratio Confidence Intervals for a Single Functional," Biometrika, 75, 237-249.
68. Pakes, A., and Pollard, D. (1989), "Simulation and the Asymptotics of Optimization Estimators," Econometrica, 57, 1027-1057.
69. Pearson, K.A. (1900), "On the Criterion That a Given System of Deviations From the Probable in the Case of a Correlated System of Variables is Such That It Can Be Reasonably Supposed to Have Arisen From Random Sampling," Philosophical Magazine Series, 50, 157-175.
70. Powell, J.L. (1986), "Symetrically Trimmed Least Squares Estimation for Tobit Models," Econometrica, 54, 1435-1460.
71. Qin, J., and Lawless, J. (1994), "Empirical Likelihood and General Estimating Equations," The Annals of Statistics, 22, 300-325.
72. Rothenberg, T.J. (1973), Efficient Estimation With A Priori Information, Cowles Foundation Monograph 23, New Haven, CT: Yale University Press.
73. Sargan, J.D. (1958), "On the Estimation of Economic Relationships by Means of Instrumental Variables," Econometrica, 26, 393-415.
74. _ (1959), "The Estimation of Relationships With Autocorrelated Residuals by the Use of Instrumental Variables," Journal of the Royal Statistical Society, Ser. B, 21, 91-105.
75. Singh, K. (1981), "On the Asymptotic Accuracy of Efron's Bootstrap," The Annals of Statistics, 9, 1187-1195.
76. Smith, K. (1916), "On the 'Best' Values of the Constants in the Frequency Distributions," Biometrika 11, 262-276.
77. Smith, R.J. (1997), "Alternative Semi-Parametric Likelihood Approaches to Generalized Method of Moments Estimation," Economic Journal, 107, 503-519.
78. Staiger, D., and Stock, J.H. (1997), "Instrumental Variable Regression With Weak Instruments," Econometrica, 65, 557-586.
79. Stock, J.H., and Wright, J.H. (2001), "GMM With Weak Identification," Econometrica, 68, 1055-1096.
80. Tauchen, G.E. (1985), "Diagnostic Testing and Evaluation of Maximum Likelihood Models," Journal of Econometrics, 30, 415-443.
81. White, H. (1982), "Instrumental Variable Regression With Independent Observations," Econometrica, 50, 483-499.