Working Paper

Further results on the limiting distribution of GMM sample moment conditions


Abstract: In this paper, we extend the results in Hansen (1982) regarding the asymptotic distribution of generalized method of moments (GMM) sample moment conditions. In particular, we show that the part of the scaled sample moment conditions that gives rise to degeneracy in the asymptotic normal distribution is T-consistent and has a nonstandard limiting distribution. We derive the asymptotic distribution for a given linear combination of the sample moment conditions and show how to conduct statistical inference. We demonstrate the finite-sample properties of the proposed asymptotic approximation using simulation.

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Bibliographic Information

Provider: Federal Reserve Bank of Atlanta

Part of Series: FRB Atlanta Working Paper

Publication Date: 2010

Number: 2010-11