
Generalized method of moments (GMM) has been widely applied for estimation of nonlinear models in economics and finance. Although generalized method of moments has good asymptotic properties under fairly moderate regularity conditions, its finite sample performance is not very well. In order to improve the finite sample performance of generalized method of moments estimators, this paper studies higher-order mean squared error of two-step efficient generalized method of moments estimators for nonlinear models. Specially, we consider a general nonlinear regression model with endogeneity and derive the higher-order asymptotic mean square error for two-step efficient generalized method of moments estimator for this model using iterative techniques and higher-order asymptotic theories. Our theoretical results allow the number of moments to grow with sample size, and are suitable for general moment restriction models, which contains conditional moment restriction models as special cases. The higher-order mean square error can be used to compare different estimators and to construct the selection criteria for improving estimator’s finite sample performance.
Endogeneity, Minimum mean square error, Social Sciences, Management Science and Operations Research, Generalized method of moments, Estimator, Quantum mechanics, Decision Sciences, QA1-939, FOS: Mathematics, Classical mechanics, Applications of statistics to economics, Asymptotic properties of parametric estimators, Application of Grey System Theory in Forecasting, Nonlinear Grey Models, Macroeconomic Analysis and Policy Implications, Physics, Mathematical optimization, Statistics, Moment (physics), Applied mathematics, Economic time series analysis, Economics, Econometrics and Finance, Time series, auto-correlation, regression, etc. in statistics (GARCH), Modeling and Forecasting Financial Volatility, Nonlinear system, Mean squared error, General Economics, Econometrics and Finance, Finance, Mathematics
Endogeneity, Minimum mean square error, Social Sciences, Management Science and Operations Research, Generalized method of moments, Estimator, Quantum mechanics, Decision Sciences, QA1-939, FOS: Mathematics, Classical mechanics, Applications of statistics to economics, Asymptotic properties of parametric estimators, Application of Grey System Theory in Forecasting, Nonlinear Grey Models, Macroeconomic Analysis and Policy Implications, Physics, Mathematical optimization, Statistics, Moment (physics), Applied mathematics, Economic time series analysis, Economics, Econometrics and Finance, Time series, auto-correlation, regression, etc. in statistics (GARCH), Modeling and Forecasting Financial Volatility, Nonlinear system, Mean squared error, General Economics, Econometrics and Finance, Finance, Mathematics
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