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Discrete Dynamics in Nature and Society
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Discrete Dynamics in Nature and Society
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Higher Order Mean Squared Error of Generalized Method of Moments Estimators for Nonlinear Models

خطأ تربيعي متوسط أعلى في الطريقة المعممة لمقدرات اللحظات للنماذج غير الخطية
Authors: Yi Hu; Xiaohua Xia; Ying Deng; Dongmei Guo;

Higher Order Mean Squared Error of Generalized Method of Moments Estimators for Nonlinear Models

Abstract

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.

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Keywords

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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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
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