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분야계량경제학계량경제학
계열Regression modelRegression model
기원 연도2006-20122006–2012
창시자Becker, Enders & Lee; Enders & LeeEnders & Lee (building on Becker, Enders & Lee framework)
유형Panel regression with Fourier approximationPanel regression with Fourier terms
원전Becker, R., Enders, W., & Lee, J. (2006). A stationary test in the presence of an unknown number of smooth breaks. Journal of Time Series Analysis, 27(3), 381-409. DOI ↗Enders, W., & Lee, J. (2012). A unit root test using a Fourier series to approximate smooth breaks. Oxford Bulletin of Economics and Statistics, 74(4), 574–599. DOI ↗
별칭Fourier RE model, FFF random effects, flexible Fourier random effects, Fourier augmented random effectsFourier FE model, Fourier panel fixed effects, trigonometric fixed effects regression, smooth structural break fixed effects
관련56
요약The Fourier Random Effects Model extends the standard random effects panel estimator by incorporating trigonometric (Fourier) terms to approximate smooth, gradual structural change in time trends or intercepts. It retains the GLS efficiency advantages of the random effects estimator while allowing parameters to shift continuously over time without requiring knowledge of exact break dates.The Fourier fixed effects model extends standard panel fixed effects regression by augmenting the specification with low-frequency Fourier (trigonometric) terms. These sine and cosine components approximate unknown, smooth structural shifts in the time trend without requiring the researcher to pre-specify break dates, combining within-unit identification with flexible trend modelling.
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