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Модел GARCH (Прогнозиране на волатилността)×Модел ARIMA (Autoregressive Integrated Moving Average)×Експоненциален GARCH (EGARCH)×Метод на най-малките квадрати (МНК)×
ОбластИконометрияИконометрияИконометрияИконометрия
СемействоRegression modelRegression modelRegression modelRegression model
Година на възникване1986201519912019
СъздателTim BollerslevBox & Jenkins (Box-Jenkins methodology)NelsonWooldridge (textbook treatment); classical least squares
ТипConditional volatility modelUnivariate time-series modelConditional volatility model (asymmetric GARCH variant)Linear regression
Основополагащ източникBollerslev, 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 ↗Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860
Други названияGARCH, 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 GARCHordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu
Свързани5545
РезюмеThe 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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ScholarGateСравнение на методи: GARCH Model · ARIMA · EGARCH · OLS Regression. Извлечено на 2026-06-19 от https://scholargate.app/bg/compare