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Ujian Punca Unit Augmented Dickey-Fuller (ADF)×Ujian Titik-Optimal ERS (Elliott-Rothenberg-Stock)×
BidangEkonometrikEkonometrik
KeluargaRegression modelHypothesis test
Tahun asal19791996
PengasasDavid A. Dickey & Wayne A. FullerElliott, Rothenberg & Stock
JenisUnit-root test for stationarityOne-sided parametric unit-root test
Sumber perintisDickey, D. A., & Fuller, W. A. (1979). Distribution of the estimators for autoregressive time series with a unit root. Journal of the American Statistical Association, 74(366a), 427–431. DOI ↗Elliott, G., Rothenberg, T. J., & Stock, J. H. (1996). Efficient tests for an autoregressive unit root. Econometrica, 64(4), 813–836. DOI ↗
AliasADF test, Dickey-Fuller test, unit root test, Genişletilmiş Dickey-Fuller testiERS P-test, Point-Optimal Unit-Root Test, ERS PT statistic, ERS Nokta-Optimal Birim Kök Testi
Berkaitan43
RingkasanThe Augmented Dickey-Fuller (ADF) test is the most widely used test for a unit root — that is, for whether a time series is non-stationary and must be differenced before modelling. Introduced by David Dickey and Wayne Fuller in 1979 and extended by Said and Dickey in 1984 to series with higher-order autocorrelation, it regresses the change in the series on its lagged level plus lagged differences and asks whether the lagged-level coefficient is zero.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.
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ScholarGateBandingkan kaedah: Augmented Dickey-Fuller Test · ERS Point-Optimal Test. Dicapai 2026-06-19 daripada https://scholargate.app/ms/compare