So sánh phương pháp

	Hồi quy Lượng-trên-Lượng Fourier	Kiểm định giới hạn ARDL Fourier
Lĩnh vực	Kinh tế lượng	Kinh tế lượng
Họ	Regression model	Regression model
Năm ra đời	2015-2020s	2001-2021
Người khởi xướng	Extension combining Sim & Zhou (2015) QQ regression with Fourier flexible-form smoothing	Pesaran, Shin & Smith (ARDL foundation); Fourier extension by Nazlioglu and related authors
Loại	Nonparametric quantile regression with Fourier smoothing	Cointegration / bounds test
Công trình gốc	Sim, N., & Zhou, H. (2015). Oil prices, US stock return, and the dependence between their quantiles. Journal of Banking and Finance, 55, 1-8.	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 QQ regression, Fourier-QQR, Fourier quantile regression with quantile regressors, smooth structural-break QQ regression	Fourier ARDL, Fourier bounds testing, ARDL with Fourier approximation, F-ARDL cointegration test
Liên quan	6	5
Tóm tắt	Fourier quantile-on-quantile regression extends the quantile-on-quantile (QQ) framework of Sim and Zhou (2015) by embedding Fourier trigonometric terms into the local linear quantile model. This allows the estimated dependence between the quantiles of one variable and the quantiles of another to vary smoothly over time, capturing gradual structural change without imposing a known break date.	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.