قارن الطرق
راجع الطرق التي اخترتها جنبًا إلى جنب؛ الصفوف المختلفة مميَّزة.
| نموذج GARCH (التنبؤ بالتقلب)× | نموذج ARIMA (الانحدار الذاتي المتكامل للمتوسط المتحرك)× | نموذج آرتش الأسي (EGARCH)× | انحدار المربعات الصغرى العادية (OLS)× | |
|---|---|---|---|---|
| المجال | الاقتصاد القياسي | الاقتصاد القياسي | الاقتصاد القياسي | الاقتصاد القياسي |
| العائلة | Regression model | Regression model | Regression model | Regression model |
| سنة النشأة≠ | 1986 | 2015 | 1991 | 2019 |
| صاحب الطريقة≠ | Tim Bollerslev | Box & Jenkins (Box-Jenkins methodology) | Nelson | Wooldridge (textbook treatment); classical least squares |
| النوع≠ | Conditional volatility model | Univariate time-series model | Conditional volatility model (asymmetric GARCH variant) | Linear regression |
| المصدر التأسيسي≠ | 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: 978-1118675021 | Nelson, 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 |
| الأسماء البديلة≠ | GARCH, GARCH(1,1), conditional volatility model, GARCH Modeli (Oynaklık Tahmini) | Box-Jenkins model, ARIMA(p,d,q), ARIMA Modeli | exponential GARCH, Nelson's EGARCH, asymmetric GARCH, EGARCH — Üstel GARCH | ordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu |
| ذات صلة≠ | 5 | 5 | 4 | 5 |
| الملخص≠ | 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. | 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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