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Asymptotic Equivalence of Closest Moments and GMM Estimators

Published online by Cambridge University Press:  18 October 2010

Whitney K. Newey*
Affiliation:
Princeton University

Extract

This note considers an asymptotic property of the class of closest moments estimators. Each such estimator is obtained by setting a vector of sample moments close to corresponding population moments. It is shown that each such estimator is asymptotically equivalent to a GMM estimator, which has a quadratic distance function. An implication of this result is that the estimator that is asymptotically efficient in the GMM class is also asymptotically efficient in the wider class of closest moment estimators.

Type
Brief Report
Copyright
Copyright © Cambridge University Press 1988 

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References

REFERENCES

1. Andrews, D.W.K. Consistency in nonlinear econometric models: A generic uniform law of large numbers. Econometrica, 50 55 (1987): 14651471.Google Scholar
2. Bates, C. & White, H.. A unified theory of consistent estimation. Econometric Theory 1 (1985): 151178.10.1017/S0266466600011117Google Scholar
3. Bates, C. & White, H.. Efficient estimation of parametric models. University of California, San Diego, mimeo, 1987.Google Scholar
4. Chamberlain, G. Asymptotic efficiency in estimation with conditional moment restrictions. Journal of Econometrics 34 (1987): 305334.10.1016/0304-4076(87)90015-7Google Scholar
5. Chiang, C.L. On regular best asymptotically normal estimates. Annals of Mathematical Statistics 27 (1956): 336351.10.1214/aoms/1177728262Google Scholar
6. Hansen, L.P. Large sample properties of generalized method of moments estimators. Econometrica 50 (1982): 10291054.10.2307/1912775Google Scholar
7. Manski, C. Closest empirical distribution estimation. Econometrica 51 (1983): 305319.10.2307/1911991Google Scholar
8. Potshcer, B.M. & Prucha, I.R.. Consistency in nonlinear econometrics: A generic uniform law of large numbers and some comments on recent results. University of Maryland, mimeo, 1987.Google Scholar
9. White, H. Nonlinear regression on cross-section data. Econometrica 48 (1980): 721746.10.2307/1913132Google Scholar
10. White, H. & Domowitz, I.. Nonlinear regression with dependent observations. Econometrica 52 (1984): 143161.10.2307/1911465Google Scholar