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| Model ARIMA (Autoregressive Integrated Moving Average)× | Model GARCH (Peramalan Volatilitas)× | Model Autoregresi Vektor (VAR)× | |
|---|---|---|---|
| Bidang | Ekonometrika | Ekonometrika | Ekonometrika |
| Keluarga | Regression model | Regression model | Regression model |
| Tahun asal≠ | 1970 | 1986 | 2005 |
| Pencetus≠ | George Box and Gwilym Jenkins | Tim Bollerslev | Lütkepohl (textbook treatment); Sims (1980) macroeconometric tradition |
| Tipe≠ | Time series forecasting model | Conditional volatility model | Multivariate time-series model |
| Sumber perintis≠ | Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗ | Bollerslev, T. (1986). Generalized Autoregressive Conditional Heteroskedasticity. Journal of Econometrics, 31(3), 307–327. DOI ↗ | Lütkepohl, H. (2005). New Introduction to Multiple Time Series Analysis. Springer. DOI ↗ |
| Alias | ARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q) | GARCH, GARCH(1,1), conditional volatility model, GARCH Modeli (Oynaklık Tahmini) | vector autoregression, VAR, VAR Modeli (Vektör Otoregresyon), vektör otoregresyon |
| Terkait≠ | 6 | 5 | 4 |
| Ringkasan≠ | 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. | The Generalized Autoregressive Conditional Heteroskedasticity (GARCH) model, introduced by Tim Bollerslev in 1986, models the time-varying conditional variance of a financial time series. It captures volatility clustering and the ARCH effect, and is the standard tool for estimating risk and volatility in return series. | 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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