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| EGARCH 모형 (Exponential GARCH)× | ARCH 모형 (자기회귀 조건부 이분산성)× | ARIMA 모형 (자기회귀 누적 이동평균)× | GARCH 모형 (변동성 예측)× | |
|---|---|---|---|---|
| 분야 | 계량경제학 | 계량경제학 | 계량경제학 | 계량경제학 |
| 계열 | Regression model | Regression model | Regression model | Regression model |
| 기원 연도≠ | 1991 | 1982 | 1970 | 1986 |
| 창시자≠ | Daniel B. Nelson | Robert F. Engle | George Box and Gwilym Jenkins | Tim Bollerslev |
| 유형≠ | Volatility / conditional variance model | Conditional volatility model | Time series forecasting model | Conditional volatility model |
| 원전≠ | Nelson, D. B. (1991). Conditional heteroskedasticity in asset returns: A new approach. Econometrica, 59(2), 347–370. DOI ↗ | Engle, R. F. (1982). Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation. Econometrica, 50(4), 987–1007. DOI ↗ | 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 ↗ |
| 별칭 | Exponential GARCH, EGARCH, Nelson EGARCH, log-GARCH | ARCH, autoregressive conditional heteroskedasticity, Engle ARCH, conditional variance model | ARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q) | GARCH, GARCH(1,1), conditional volatility model, GARCH Modeli (Oynaklık Tahmini) |
| 관련≠ | 6 | 6 | 6 | 5 |
| 요약≠ | The Exponential GARCH (EGARCH) model, introduced by Nelson (1991), extends the standard GARCH framework by modelling the logarithm of conditional variance. This ensures variance is always positive without parameter constraints and, crucially, allows negative and positive shocks to have asymmetric effects on volatility — capturing the well-known leverage effect in financial markets. | The ARCH model, introduced by Robert Engle in 1982, captures time-varying volatility in financial and macroeconomic time series. It models the conditional variance of today's error as a function of past squared errors, explaining why volatile periods cluster together — a phenomenon known as volatility clustering. | 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. |
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