Generalized method of moments estimation when a parameter is on a boundary

Journal of Business and Economic Statistics

Volumn 20, Issue 4, 2002, Pages 530-544

  Andrews, Donald W K ^a  

^a YALE UNIVERSITY   (United States)

Author keywords

Asymptotic distribution; Boundary; Equality restriction; Inequality restriction; Partially linear model; Semiparametric estimator

Indexed keywords

EID: 0036790294     PISSN: 07350015     EISSN: None     Source Type: Journal    
DOI: 10.1198/073500102288618667     Document Type: Article

References (29)

1. Aitchison, J., and Silvey, S.D. (1958), "Maximum Likelihood Estimation of Parameters Subject to Constraint," Annals of Mathematical Statistics, 29, 813-828.
2. Andrews, D.W.K. (1991), "Asymptotics for Kernel-Based Nonorthogonal Semiparametric Estimators," unpublished manuscript, Cowles Foundation, Yale University.
3. _ (1992), "Generic Uniform Convergence," Econometric Theory, 8, 241-257.
4. _ (1994), "Empirical Process Methods in Econometrics," in Handbook of Econometrics, Vol. IV, eds. R.F. Engle and D. McFadden, New York: North-Holland.
5. _ (1999), "Estimation When a Parameter Is on a Boundary" Econometrica, 67, 1341-1383.
6. _ (2001), "Testing When a Parameter Is on the Boundary of the Maintained Hypothesis," Econometrica, 69, 683-734.
7. Andrews, D.W.K., and McDermott, C.J. (1995), "Nonlinear Econometric Models With Deterministically Trending Variables," Review of Economic Studies, 62, 343-360.
8. Berry, S. (1994), "Estimating Discrete Choice Models of Product Differentiation," Rand Journal of Economics, 25, 242-262.
9. Berry, S., Levinsohn, J., and Pakes, A. (1995), "Automobile Prices in Market Equilibrium" Econometrica, 63, 841-890.
10. Chant, D. (1974), "On Asymptotic Tests of Composite Hypotheses in Nonstandard Conditions," Biometrika, 61, 291-298.
11. Chernoff, H. (1954), "On the Distribution of the Likelihood Ratio," Annals of Mathematical Statistics, 54, 573-578.
12. Gallant, A.R., and Golub, G.H. (1984), "Imposing Curvature Restrictions on Flexible Functional Forms," Journal of Econometrics, 26, 295-321.
13. Geyer, C.J. (1994), "On the Asymptotics of Constrained M-Estimation," The Annals of Statistics, 22, 1993-2010.
14. Gill, P.E., Murray, W., and Wright, M.H. (1981), Practical Optimization, New York: Academic Press.
15. Gourieroux, C., and Monfort, A. (1989), Statistique et Modeles Econometriques, Vol. 2, Pads: Economica. English translation (1995), Statistics and Econometric Models, Vol. 2, trans, by Q. Vuong, Cambridge, UK: Cambridge University Press.
16. Hansen, L.P. (1982), "Large Sample Properties of Generalized Method of Moment Estimators," Econometrica, 50, 1029-1054.
17. Hausman, J.A., and Wise, D. (1978), "A Conditional Probit Model for Qualitative Choice: Discrete Decisions Recognizing Interdependence and Heterogeneous Preferences," Econometrica, 46, 403-426.
18. Horowitz, J.L. (1993), "Semiparametric Estimation of a Work-Trip Mode Choice Model," Journal of Econometrics, 58, 49-70.
19. Jeganathan, P. (1982), "On the Asymptotic Theory of Estimation When the Limit of the Loglikelihood Is Mixed Normal," Sankhya, Ser. A, 44, part 2, 172-212.
20. Le Cam, L. (1960), "Locally Asymptotically Normal Families of Distributions," University of California Publications in Statistics, 3, 37-98.
21. McFadden, D. (1989), "A Method of Simulated Moments for Estimation of Discrete Response Models Without Numerical Integration," Econometrica, 57, 995-1026.
22. Moran, P.A.P. (1971), "Maximum-Likelihood Estimation in Non-Standard Conditions," Proceedings of the Cambridge Philosophical Society, 70, 441-450.
23. Newey, W.K. (1994), "The Asymptotic Variance of Semiparametric Estimators," Econometrica, 62, 1349-1382.
24. Pakes, A., and Pollard, D. (1989), "Simulation and the Asymptotics of Optimization Estimators," Econometrica, 57, 1027-1057.
25. Pollard, D. (1985), "New Ways to Prove Central Limit Theorems," Econometric Theory, 1, 295-314.
26. Robinson, P.M. (1988), "Root-N-Consistent Semiparametric Regression," Econometrica, 56, 931-954.
27. Self, S.G., and Liang, K.-Y. (1987), "Asymptotic Properties of Maximum Likelihood Estimators and Likelihood Ratio Tests Under Nonstandard Conditions," Journal of the American Statistical Association, 82, 605-610.
28. Van der Vaart, A.W., and Wellner, J. (1996), Weak Convergence and Empirical Processes, New York: Springer.
29. Wang, J. (1996), "Asymptotics of Least-Squares Estimators for Constrained Nonlinear Regression," The Annals of Statistics, 24, 1316-1326.