مقایسهٔ روش‌ها

	آزمون حدود ARDL (آزمون حدود پزاران)	مدل خودرگرسیونی تأخیر توزیع غیرخطی (NARDL)	رگرسیون آستانه‌ای
حوزه	اقتصادسنجی	اقتصادسنجی	اقتصادسنجی
خانواده	Regression model	Regression model	Regression model
سال پیدایش	2001	2014	2000
پدیدآور	Pesaran, Shin & Smith	Shin, Yu & Greenwood-Nimmo	Bruce E. Hansen
نوع	Cointegration test / Autoregressive distributed lag model	Asymmetric cointegration / error-correction model	Nonlinear regime-switching regression
منبع بنیادین	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.	Shin, Y., Yu, B. & Greenwood-Nimmo, M. (2014). Modelling Asymmetric Cointegration and Dynamic Multipliers in a Nonlinear ARDL Framework. In: Sickles, R. & Horrace, W. (Eds.), Festschrift in Honor of Peter Schmidt. Springer.	Hansen, B. E. (2000). Sample Splitting and Threshold Estimation. Econometrica, 68(3), 575-603.
نام‌های دیگر	Pesaran bounds test, bounds testing approach, ARDL cointegration test, ARDL Sınır Testi (Pesaran Bounds Test)	nonlinear ARDL, asymmetric ARDL, Doğrusal Olmayan ARDL (NARDL)	threshold model, regime-switching regression, sample splitting model, Eşik Değer Regresyonu (Threshold Regression)
مرتبط	4	4	5
خلاصه	The ARDL bounds test is an autoregressive distributed lag method that tests for a cointegrating (long-run level) relationship between time series, introduced by Pesaran, Shin and Smith in 2001. Unlike the Johansen procedure, it remains valid whether the variables are I(0), I(1) or a mix of the two, and it is more reliable than Johansen in small samples of roughly 30 to 80 observations.	The NARDL model, introduced by Shin, Yu and Greenwood-Nimmo in 2014, extends the ARDL framework to capture asymmetric long-run and short-run relationships, testing whether positive and negative changes in a regressor affect the dependent variable differently.	Threshold regression is a nonlinear, regime-switching model in which the regression parameters take different values above and below an estimated threshold value of a threshold variable. The sample-splitting and threshold-estimation framework was developed by Bruce E. Hansen (2000) and is widely used for time-series and panel data with structural breaks and regime-dependent relationships.