مقایسهٔ روشها
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| مدل نمایی GARCH (EGARCH)× | مدل آریما (میانگین متحرک یکپارچه خودرگرسیو)× | |
|---|---|---|
| حوزه | اقتصادسنجی | اقتصادسنجی |
| خانواده | Regression model | Regression model |
| سال پیدایش≠ | 1991 | 2015 |
| پدیدآور≠ | Nelson | Box & Jenkins (Box-Jenkins methodology) |
| نوع≠ | Conditional volatility model (asymmetric GARCH variant) | Univariate time-series model |
| منبع بنیادین≠ | Nelson, D. B. (1991). Conditional Heteroskedasticity in Asset Returns: A New Approach. Econometrica, 59(2), 347-370. 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: 978-1118675021 |
| نامهای دیگر≠ | exponential GARCH, Nelson's EGARCH, asymmetric GARCH, EGARCH — Üstel GARCH | Box-Jenkins model, ARIMA(p,d,q), ARIMA Modeli |
| مرتبط≠ | 4 | 5 |
| خلاصه≠ | 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. | 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). |
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