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ARIMA(自己回帰和分移動平均)モデル×指数 GARCH (EGARCH)×最小二乗法 (OLS) 回帰×
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201519912019
提唱者Box & Jenkins (Box-Jenkins methodology)NelsonWooldridge (textbook treatment); classical least squares
種類Univariate time-series modelConditional volatility model (asymmetric GARCH variant)Linear regression
原典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 ↗Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860
別名Box-Jenkins model, ARIMA(p,d,q), ARIMA Modeliexponential GARCH, Nelson's EGARCH, asymmetric GARCH, EGARCH — Üstel GARCHordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu
関連545
概要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.Ordinary Least Squares is the classical linear regression method that explains a continuous outcome as a linear combination of predictors. It estimates the coefficients by minimising the sum of squared residuals, and under the Gauss-Markov assumptions these estimates are the best linear unbiased estimator (BLUE).
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ScholarGate手法を比較: ARIMA · EGARCH · OLS Regression. 2026-06-18に以下より取得 https://scholargate.app/ja/compare