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| Model ARIMA (Autoregressive Integrated Moving Average)× | Test kointegrácie (Johansen / Engle-Granger)× | Test KPSS stacionarity× | |
|---|---|---|---|
| Odbor | Ekonometria | Ekonometria | Ekonometria |
| Rodina | Regression model | Regression model | Regression model |
| Rok vzniku≠ | 2015 | 1988 | 1992 |
| Tvorca≠ | Box & Jenkins (Box-Jenkins methodology) | Engle & Granger (1987); Johansen (1988) | Kwiatkowski, Phillips, Schmidt & Shin |
| Typ≠ | Univariate time-series model | Time-series cointegration test | Stationarity test (reverse of unit-root tests) |
| Pôvodný zdroj≠ | Box, G. E. P., Jenkins, G. M., Reinsel, G. C. & Ljung, G. M. (2015). Time Series Analysis: Forecasting and Control (5th ed.). Wiley. ISBN: 978-1118675021 | Johansen, S. (1988). Statistical Analysis of Cointegration Vectors. Journal of Economic Dynamics and Control, 12(2-3), 231-254. DOI ↗ | Kwiatkowski, 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 ↗ |
| Ďalšie názvy≠ | Box-Jenkins model, ARIMA(p,d,q), ARIMA Modeli | Johansen cointegration test, Engle-Granger cointegration test, long-run equilibrium test, Eşbütünleşme Testi (Johansen/Engle-Granger) | Kwiatkowski-Phillips-Schmidt-Shin test, stationarity test, KPSS durağanlık testi |
| Príbuzné≠ | 5 | 5 | 4 |
| Zhrnutie≠ | 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 cointegration test examines whether non-stationary time series that each contain a unit root share a stable long-run equilibrium relationship. The single-equation residual approach was introduced by Engle and Granger (1987) and the system-based rank approach by Johansen (1988). | 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. |
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