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ARIMA 모형 (자기회귀 누적 이동평균)×EGARCH 모형 (Exponential GARCH)×
분야계량경제학계량경제학
계열Regression modelRegression model
기원 연도19701991
창시자George Box and Gwilym JenkinsDaniel B. Nelson
유형Time series forecasting modelVolatility / conditional variance model
원전Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗Nelson, D. B. (1991). Conditional heteroskedasticity in asset returns: A new approach. Econometrica, 59(2), 347–370. DOI ↗
별칭ARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)Exponential GARCH, EGARCH, Nelson EGARCH, log-GARCH
관련66
요약The 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 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.
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