เปรียบเทียบวิธี

	Fourier Nonlinear ARDL (Fourier NARDL)	แบบจำลอง ARDL ไม่เชิงเส้น (NARDL)
สาขาวิชา	เศรษฐมิติ	เศรษฐมิติ
ตระกูล	Regression model	Regression model
ปีกำเนิด	2014–2020s	2014
ผู้ริเริ่ม	Extension of Shin, Yu & Greenwood-Nimmo (2014) NARDL, incorporating Fourier terms from Becker, Enders & Lee (2006)	Shin, Yu & Greenwood-Nimmo
ประเภท	Nonlinear cointegrating model with smooth break approximation	Nonlinear cointegration model
แหล่งต้นตำรับ	Shin, Y., Yu, B., & Greenwood-Nimmo, M. (2014). Modelling asymmetric cointegration and dynamic multipliers in a nonlinear ARDL framework. In R. C. Sickles & W. C. Horrace (Eds.), Festschrift in Honor of Peter Schmidt (pp. 281–314). Springer.	Shin, Y., Yu, B., & Greenwood-Nimmo, M. (2014). Modelling asymmetric cointegration and dynamic multipliers in a nonlinear ARDL framework. In R. C. Sickles & W. C. Horrace (Eds.), Festschrift in Honor of Peter Schmidt: Econometric Methods and Applications (pp. 281–314). Springer.
ชื่อเรียกอื่น	Fourier NARDL, Fourier nonlinear ARDL, F-NARDL, Fourier asymmetric ARDL	NARDL, nonlinear bounds test, asymmetric ARDL, asymmetric cointegration model
ที่เกี่ยวข้อง	6	5
สรุป	Fourier NARDL extends the Nonlinear ARDL (NARDL) bounds-testing framework by adding Fourier trigonometric terms to the error-correction equation, allowing the model to capture smooth, gradual structural breaks in the long-run relationship without requiring the researcher to know or specify the break date in advance.	The Nonlinear ARDL (NARDL) model extends the linear ARDL bounds-testing framework to allow asymmetric long-run and short-run relationships. By decomposing the regressor into cumulative positive and negative partial sums, it tests whether increases and decreases in a variable exert different effects on the outcome — a feature especially relevant in financial and energy economics where positive and negative shocks rarely cancel out symmetrically.