مقایسهٔ روشها
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| مدل EGARCH (نمایی GARCH)× | مدل آریما (میانگین متحرک یکپارچه خودرگرسیو)× | |
|---|---|---|
| حوزه | اقتصادسنجی | اقتصادسنجی |
| خانواده | Regression model | Regression model |
| سال پیدایش≠ | 1991 | 1970 |
| پدیدآور≠ | Daniel B. Nelson | George Box and Gwilym Jenkins |
| نوع≠ | Volatility / conditional variance model | Time series forecasting 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. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗ |
| نامهای دیگر | Exponential GARCH, EGARCH, Nelson EGARCH, log-GARCH | ARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q) |
| مرتبط | 6 | 6 |
| خلاصه≠ | 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 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. |
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