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| Model ARIMA (Autoregressive Integrated Moving Average)× | Model vektorovej autoregresie (VAR)× | |
|---|---|---|
| Odbor | Ekonometria | Ekonometria |
| Rodina | Regression model | Regression model |
| Rok vzniku≠ | 1970 | 2005 |
| Tvorca≠ | George Box and Gwilym Jenkins | Lütkepohl (textbook treatment); Sims (1980) macroeconometric tradition |
| Typ≠ | Time series forecasting model | Multivariate time-series model |
| Pôvodný zdroj≠ | Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗ | Lütkepohl, H. (2005). New Introduction to Multiple Time Series Analysis. Springer. DOI ↗ |
| Ďalšie názvy | ARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q) | vector autoregression, VAR, VAR Modeli (Vektör Otoregresyon), vektör otoregresyon |
| Príbuzné≠ | 6 | 4 |
| Zhrnutie≠ | The ARIMA(p,d,q) model is the standard workhorse for univariate time series forecasting. It combines autoregressive terms (past values), differencing to induce stationarity, and moving average terms (past shocks) into a unified linear framework. Developed by Box and Jenkins (1970), it remains one of the most widely applied models in econometrics and applied statistics. | 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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