เปรียบเทียบวิธี

	การทดสอบขอบเขตของ Fourier ARDL	การทดสอบขอบเขต ARDL ของการแบ่งส่วนโครงสร้าง
สาขาวิชา	เศรษฐมิติ	เศรษฐมิติ
ตระกูล	Regression model	Regression model
ปีกำเนิด	2001-2021	2001–2010s
ผู้ริเริ่ม	Pesaran, Shin & Smith (ARDL foundation); Fourier extension by Nazlioglu and related authors	Pesaran, Shin & Smith (bounds framework); structural break extensions by Bahmani-Oskooee, Enders & Jones, and others
ประเภท	Cointegration / bounds test	Cointegration / bounds test
แหล่งต้นตำรับ	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.	Pesaran, M. H., Shin, Y., & Smith, R. J. (2001). Bounds testing approaches to the analysis of level relationships. Journal of Applied Econometrics, 16(3), 289–326.
ชื่อเรียกอื่น	Fourier ARDL, Fourier bounds testing, ARDL with Fourier approximation, F-ARDL cointegration test	SB-ARDL bounds test, ARDL bounds test with structural break, Fourier ARDL bounds test, break-augmented bounds testing
ที่เกี่ยวข้อง	5	6
สรุป	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.	The structural break ARDL bounds test extends the Pesaran, Shin and Smith (2001) bounds testing framework to accommodate one or more structural breaks in the long-run relationship between time-series variables. By incorporating break dummies or smooth Fourier terms into the ARDL error-correction equation, it allows researchers to test for cointegration even when the data have experienced shifts in intercept or slope caused by policy changes, crises, or regime switches.