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Teste de Raiz Unitária Dickey-Fuller Aumentado (ADF)×Modelo ARIMA (Autoregressive Integrated Moving Average)×Teste de estacionariedade KPSS×Teste de Raiz Unitária Phillips-Perron (PP)×
ÁreaEconometriaEconometriaEconometriaEconometria
FamíliaRegression modelRegression modelRegression modelRegression model
Ano de origem1979201519921988
Autor originalDavid A. Dickey & Wayne A. FullerBox & Jenkins (Box-Jenkins methodology)Kwiatkowski, Phillips, Schmidt & ShinPeter C. B. Phillips & Pierre Perron
TipoUnit-root test for stationarityUnivariate time-series modelStationarity test (reverse of unit-root tests)Unit-root test for stationarity
Fonte seminalDickey, 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 ↗Box, G. E. P., Jenkins, G. M., Reinsel, G. C. & Ljung, G. M. (2015). Time Series Analysis: Forecasting and Control (5th ed.). Wiley. ISBN: 978-1118675021Kwiatkowski, D., Phillips, P. C. B., Schmidt, P., & Shin, Y. (1992). Testing the null hypothesis of stationarity against the alternative of a unit root. Journal of Econometrics, 54(1–3), 159–178. DOI ↗Phillips, P. C. B., & Perron, P. (1988). Testing for a unit root in time series regression. Biometrika, 75(2), 335–346. DOI ↗
Outros nomesADF test, Dickey-Fuller test, unit root test, Genişletilmiş Dickey-Fuller testiBox-Jenkins model, ARIMA(p,d,q), ARIMA ModeliKwiatkowski-Phillips-Schmidt-Shin test, stationarity test, KPSS durağanlık testiPP test, Phillips-Perron unit root test, Phillips-Perron birim kök testi
Relacionados4544
ResumoThe 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.ARIMA is a univariate time-series forecasting model that combines autoregressive, integrated (differencing), and moving-average components to predict a single continuous series from its own past. It is the centrepiece of the Box-Jenkins methodology set out in Box, Jenkins, Reinsel & Ljung's Time Series Analysis (5th ed., 2015).The KPSS test, introduced by Kwiatkowski, Phillips, Schmidt and Shin in 1992, tests the null hypothesis that a series is stationary against the alternative that it contains a unit root — the reverse of the ADF and Phillips-Perron tests. By flipping the burden of proof, it is designed to be used alongside unit-root tests so that the two can confirm one another and expose ambiguous, borderline cases.The Phillips-Perron test, proposed by Peter Phillips and Pierre Perron in 1988, tests for a unit root in a time series, like the Augmented Dickey-Fuller test, but corrects for autocorrelation and heteroskedasticity in the errors non-parametrically rather than by adding lagged differences. It runs a simple Dickey-Fuller regression and then adjusts the test statistic using a long-run variance estimate, so the practitioner need not choose a lag length for the regression itself.
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ScholarGateComparar métodos: Augmented Dickey-Fuller Test · ARIMA · KPSS Test · Phillips-Perron Test. Recuperado em 2026-06-18 de https://scholargate.app/pt/compare