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Модел ARIMA (Авторегресионен интегриран плъзгащ се среден)×Модел EGARCH (Експоненциален GARCH)×Модел GARCH (Прогнозиране на волатилността)×
ОбластИконометрияИконометрияИконометрия
СемействоRegression modelRegression modelRegression model
Година на възникване197019911986
СъздателGeorge Box and Gwilym JenkinsDaniel B. NelsonTim Bollerslev
ТипTime series forecasting modelVolatility / conditional variance modelConditional volatility model
Основополагащ източникBox, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗Nelson, D. B. (1991). Conditional heteroskedasticity in asset returns: A new approach. Econometrica, 59(2), 347–370. DOI ↗Bollerslev, T. (1986). Generalized Autoregressive Conditional Heteroskedasticity. Journal of Econometrics, 31(3), 307–327. DOI ↗
Други названияARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)Exponential GARCH, EGARCH, Nelson EGARCH, log-GARCHGARCH, GARCH(1,1), conditional volatility model, GARCH Modeli (Oynaklık Tahmini)
Свързани665
РезюмеThe 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.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 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.
ScholarGateНабор от данни
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ScholarGateСравнение на методи: ARIMA model · EGARCH model · GARCH Model. Извлечено на 2026-06-19 от https://scholargate.app/bg/compare