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GARCHモデル(ボラティリティ予測)×ARIMA(自己回帰和分移動平均)モデル×指数 GARCH (EGARCH)×
分野計量経済学計量経済学計量経済学
系統Regression modelRegression modelRegression model
提唱年198620151991
提唱者Tim BollerslevBox & Jenkins (Box-Jenkins methodology)Nelson
種類Conditional volatility modelUnivariate time-series modelConditional volatility model (asymmetric GARCH variant)
原典Bollerslev, T. (1986). Generalized Autoregressive Conditional Heteroskedasticity. Journal of Econometrics, 31(3), 307–327. DOI ↗Box, G. E. P., Jenkins, G. M., Reinsel, G. C. & Ljung, G. M. (2015). Time Series Analysis: Forecasting and Control (5th ed.). Wiley. ISBN: 978-1118675021Nelson, D. B. (1991). Conditional Heteroskedasticity in Asset Returns: A New Approach. Econometrica, 59(2), 347-370. DOI ↗
別名GARCH, GARCH(1,1), conditional volatility model, GARCH Modeli (Oynaklık Tahmini)Box-Jenkins model, ARIMA(p,d,q), ARIMA Modeliexponential GARCH, Nelson's EGARCH, asymmetric GARCH, EGARCH — Üstel GARCH
関連554
概要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.ARIMA is a univariate time-series forecasting model that combines autoregressive, integrated (differencing), and moving-average components to predict a single continuous series from its own past. It is the centrepiece of the Box-Jenkins methodology set out in Box, Jenkins, Reinsel & Ljung's Time Series Analysis (5th ed., 2015).EGARCH is an asymmetric GARCH variant, introduced by Nelson in 1991, that models the leverage effect in which bad news raises volatility more than good news of the same size. It captures the negative-shock asymmetry of financial return series by modelling the logarithm of the conditional variance.
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ScholarGate手法を比較: GARCH Model · ARIMA · EGARCH. 2026-06-19に以下より取得 https://scholargate.app/ja/compare