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| Johansenov test kointegracije i model vektorske korekcije greške× | Model ARIMA (Autoregressive Integrated Moving Average)× | Model vektorske autoregresije (VAR)× | |
|---|---|---|---|
| Oblast≠ | Finansije | Ekonometrija | Ekonometrija |
| Porodica | Regression model | Regression model | Regression model |
| Godina nastanka≠ | 1991 | 2015 | 2005 |
| Tvorac≠ | Søren Johansen | Box & Jenkins (Box-Jenkins methodology) | Lütkepohl (textbook treatment); Sims (1980) macroeconometric tradition |
| Tip≠ | Multivariate cointegration / vector error correction model | Univariate time-series model | Multivariate time-series model |
| Temeljni izvor≠ | Johansen, S. (1991). Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models. Econometrica, 59(6), 1551-1580. 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: 978-1118675021 | Lütkepohl, H. (2005). New Introduction to Multiple Time Series Analysis. Springer. DOI ↗ |
| Drugi nazivi≠ | Johansen test, VECM, vector error correction model, multivariate cointegration | Box-Jenkins model, ARIMA(p,d,q), ARIMA Modeli | vector autoregression, VAR, VAR Modeli (Vektör Otoregresyon), vektör otoregresyon |
| Srodne≠ | 3 | 5 | 4 |
| Sažetak≠ | The Johansen procedure is a multivariate cointegration framework, introduced by Søren Johansen in 1991, that tests for long-run equilibrium relationships among several I(1) time series. It determines how many cointegrating vectors link the series and then builds a Vector Error Correction Model (VECM) to describe the short-run dynamics around that equilibrium. | 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). | Vector Autoregression is a multivariate time-series model that treats several interdependent series symmetrically, letting each variable depend on its own past values and the past values of all the others. It is the standard tool for capturing mutual causality and joint dynamics, developed in the modern multiple-time-series tradition treated by Lütkepohl (2005). |
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