OPTIMAL INFERENCE WITH MANY INSTRUMENTS

Jinyong Hahn

Econometric Theory, 2002, vol. 18, issue 01, pages 140-168

Abstract: In this paper, I derive the efficiency bound of the structural parameter in a linear simultaneous equations model with many instruments. The bound is derived by applying a convolution theorem to Bekker s (1994, Econometrica 62, 657 681) asymptotic approximation, where the number of instruments grows to infinity at the same rate as the sample size. Usual instrumental variables estimators with a small number of instruments are heuristically argued to be efficient estimators in the sense that their asymptotic distribution is minimal. Bayesian estimators based on parameter orthogonalization are heuristically argued to be inefficient.

Date: 2002
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