So sánh phương pháp

	Phân tích Dữ liệu Bảng Fourier	Kiểm định giới hạn ARDL Fourier
Lĩnh vực	Kinh tế lượng	Kinh tế lượng
Họ	Regression model	Regression model
Năm ra đời	2006 (Fourier framework); panel extensions 2010s	2001-2021
Người khởi xướng	Becker, Enders, and Lee (Fourier unit root framework); extended to panel data by subsequent applied econometricians	Pesaran, Shin & Smith (ARDL foundation); Fourier extension by Nazlioglu and related authors
Loại	Panel regression with Fourier terms	Cointegration / bounds test
Công trình gốc	Becker, 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.	Nazlioglu, S., Gormus, A., & Soytas, U. (2021). Oil prices and monetary policy in emerging markets: structural breaks, asymmetries, and Fourier approximations. Energy Economics, 95, 105119.
Tên gọi khác	Fourier panel regression, smooth structural break panel model, trigonometric panel data model, Fourier-flexible panel estimator	Fourier ARDL, Fourier bounds testing, ARDL with Fourier approximation, F-ARDL cointegration test
Liên quan	6	5
Tóm tắt	Fourier panel data analysis embeds trigonometric sine and cosine terms into a standard panel regression to approximate smooth, gradual structural shifts in the data-generating process. Rather than assuming a sharp break at a known date, the Fourier approach lets the data reveal the timing and shape of any structural change through a flexible trigonometric approximation, while retaining the cross-sectional and time-series structure of panel data.	The Fourier ARDL bounds test augments the Pesaran-Shin-Smith cointegration framework with trigonometric (Fourier) terms that capture gradual, smooth structural breaks in the data-generating process. It tests for a long-run level relationship between variables without requiring the researcher to specify the number, timing, or form of structural breaks in advance.