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Модел ARIMA (Авторегресионен интегриран плъзгащ се среден)×DCC-GARCH модел (динамична условна корелация)×Модел GARCH (Прогнозиране на волатилността)×
ОбластИконометрияИконометрияИконометрия
СемействоRegression modelRegression modelRegression model
Година на възникване197020021986
СъздателGeorge Box and Gwilym JenkinsRobert F. EngleTim Bollerslev
ТипTime series forecasting modelMultivariate volatility modelConditional volatility model
Основополагащ източникBox, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗Engle, R. F. (2002). Dynamic conditional correlation: A simple class of multivariate generalized autoregressive conditional heteroskedasticity models. Journal of Business and Economic Statistics, 20(3), 339-350. 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)DCC-GARCH, Dynamic Conditional Correlation GARCH, Engle DCC model, multivariate DCCGARCH, GARCH(1,1), conditional volatility model, GARCH Modeli (Oynaklık Tahmini)
Свързани655
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 DCC-GARCH model, introduced by Engle (2002), extends univariate GARCH to capture time-varying correlations between multiple financial time series. It decomposes the multivariate conditional covariance matrix into individual volatility processes and a dynamic correlation matrix, allowing correlations to fluctuate over time while remaining computationally tractable even with many series.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.
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ScholarGateСравнение на методи: ARIMA model · DCC-GARCH model · GARCH Model. Извлечено на 2026-06-19 от https://scholargate.app/bg/compare