مقایسهٔ روش‌ها

	رگرسیون کوانتایل-بر-کوانتایل فوریه	آزمون کران‌های خودرگرسیون با وقفه‌های توزیع‌شده فوریه (Fourier ARDL bounds test)
حوزه	اقتصادسنجی	اقتصادسنجی
خانواده	Regression model	Regression model
سال پیدایش	2015-2020s	2001-2021
پدیدآور	Extension combining Sim & Zhou (2015) QQ regression with Fourier flexible-form smoothing	Pesaran, Shin & Smith (ARDL foundation); Fourier extension by Nazlioglu and related authors
نوع	Nonparametric quantile regression with Fourier smoothing	Cointegration / bounds test
منبع بنیادین	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.
نام‌های دیگر	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
مرتبط	6	5
خلاصه	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.