手法を比較

	フーリエシステムGMM	アレラーノ・ボンド GMM 推定器
分野	計量経済学	計量経済学
系統	Regression model	Regression model
提唱年	2000s–2010s	1991
提唱者	Blundell & Bond (System GMM, 1998); Fourier augmentation adapted from Gallant (1981) and Becker, Enders & Lee (2006)	Manuel Arellano and Stephen Bond
種類	Dynamic panel GMM with Fourier smooth-break regressors	GMM estimator for dynamic panel data
原典	Blundell, R., & Bond, S. (1998). Initial conditions and moment restrictions in dynamic panel data models. Journal of Econometrics, 87(1), 115–143.	Arellano, M., & Bond, S. (1991). Some tests of specification for panel data: Monte Carlo evidence and an application to employment equations. Review of Economic Studies, 58(2), 277-297.
別名	Fourier System GMM, Fourier-augmented Blundell-Bond GMM, smooth-break system GMM, Fourier SGMM	AB-GMM, Difference GMM, first-difference GMM, Arellano-Bond estimator
関連	6	5
概要	Fourier system GMM embeds Fourier trigonometric terms into the System GMM estimator of Blundell and Bond (1998) to accommodate smooth, gradual structural breaks in dynamic panel data. By adding sine and cosine components as regressors, the estimator captures unknown, potentially multiple regime shifts without requiring prior knowledge of break dates, while preserving the instrument-based controls for endogeneity and individual fixed effects.	The Arellano-Bond GMM estimator is the standard approach for dynamic panel data models in which the lagged dependent variable appears as a regressor. By first-differencing to remove fixed effects and using deeper lags as instruments, it yields consistent estimates even when the error is serially correlated and regressors are endogenous.