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| ARIMA 모형 (자기회귀 누적 이동평균)× | DCC-GARCH 모형 (동적 조건부 상관관계)× | GARCH 모형 (변동성 예측)× | |
|---|---|---|---|
| 분야 | 계량경제학 | 계량경제학 | 계량경제학 |
| 계열 | Regression model | Regression model | Regression model |
| 기원 연도≠ | 1970 | 2002 | 1986 |
| 창시자≠ | George Box and Gwilym Jenkins | Robert F. Engle | Tim Bollerslev |
| 유형≠ | Time series forecasting model | Multivariate volatility model | Conditional volatility model |
| 원전≠ | Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗ | Engle, R. F. (2002). Dynamic conditional correlation: A simple class of multivariate generalized autoregressive conditional heteroskedasticity models. Journal of Business and Economic Statistics, 20(3), 339-350. DOI ↗ | Bollerslev, T. (1986). Generalized Autoregressive Conditional Heteroskedasticity. Journal of Econometrics, 31(3), 307–327. DOI ↗ |
| 별칭 | ARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q) | DCC-GARCH, Dynamic Conditional Correlation GARCH, Engle DCC model, multivariate DCC | GARCH, GARCH(1,1), conditional volatility model, GARCH Modeli (Oynaklık Tahmini) |
| 관련≠ | 6 | 5 | 5 |
| 요약≠ | 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 DCC-GARCH model, introduced by Engle (2002), extends univariate GARCH to capture time-varying correlations between multiple financial time series. It decomposes the multivariate conditional covariance matrix into individual volatility processes and a dynamic correlation matrix, allowing correlations to fluctuate over time while remaining computationally tractable even with many series. | 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. |
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