مقایسهٔ روش‌ها

	آزمون DF-GLS: آزمون ریشه واحد دیک-فولر با روندزدایی GLS	آزمون ریشه واحد بهینه نقطه‌ای ERS
حوزه	اقتصادسنجی	اقتصادسنجی
خانواده	Hypothesis test	Hypothesis test
سال پیدایش	1996	1996
پدیدآور	Elliott, Rothenberg & Stock	Elliott, Rothenberg & Stock
نوع	One-sided t-test on GLS-detrended series	One-sided parametric unit-root test
منبع بنیادین	Elliott, G., Rothenberg, T. J., & Stock, J. H. (1996). Efficient tests for an autoregressive unit root. Econometrica, 64(4), 813–836.	Elliott, G., Rothenberg, T. J., & Stock, J. H. (1996). Efficient tests for an autoregressive unit root. Econometrica, 64(4), 813–836.
نام‌های دیگر	Elliott-Rothenberg-Stock test, ERS unit-root test, GLS-detrended Dickey-Fuller test, DF-GLS birim kök testi	ERS P-test, Point-Optimal Unit-Root Test, ERS PT statistic, ERS Nokta-Optimal Birim Kök Testi
مرتبط	3	3
خلاصه	The DF-GLS test, introduced by Elliott, Rothenberg, and Stock (1996), is a modified augmented Dickey-Fuller procedure that applies generalized least squares (GLS) detrending before the standard unit-root regression. By removing deterministic components under a local alternative rather than the null hypothesis, the test achieves near-optimal power for detecting stationarity in time series, making it the preferred unit-root test in applied econometrics when a trend or intercept is present.	The Elliott-Rothenberg-Stock (ERS) Point-Optimal test, introduced in their landmark 1996 Econometrica paper, is a near-efficient parametric procedure for testing whether a univariate time series contains a unit root. By first applying GLS detrending at a carefully chosen local-to-unity value and then computing a likelihood-ratio-type statistic, it achieves power close to the Gaussian power envelope—making it one of the most powerful unit-root tests available to applied econometricians.