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Модел ARIMA (Авторегресионен интегриран плъзгащ се среден)×Модел GARCH (Прогнозиране на волатилността)×Модел на векторна авторегресия (VAR)×
ОбластИконометрияИконометрияИконометрия
СемействоRegression modelRegression modelRegression model
Година на възникване197019862005
СъздателGeorge Box and Gwilym JenkinsTim BollerslevLütkepohl (textbook treatment); Sims (1980) macroeconometric tradition
ТипTime series forecasting modelConditional volatility modelMultivariate time-series model
Основополагащ източникBox, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗Bollerslev, T. (1986). Generalized Autoregressive Conditional Heteroskedasticity. Journal of Econometrics, 31(3), 307–327. DOI ↗Lütkepohl, H. (2005). New Introduction to Multiple Time Series Analysis. Springer. DOI ↗
Други названияARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)GARCH, GARCH(1,1), conditional volatility model, GARCH Modeli (Oynaklık Tahmini)vector autoregression, VAR, VAR Modeli (Vektör Otoregresyon), vektör otoregresyon
Свързани654
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 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.Vector Autoregression is a multivariate time-series model that treats several interdependent series symmetrically, letting each variable depend on its own past values and the past values of all the others. It is the standard tool for capturing mutual causality and joint dynamics, developed in the modern multiple-time-series tradition treated by Lütkepohl (2005).
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ScholarGateСравнение на методи: ARIMA model · GARCH Model · VAR Model. Извлечено на 2026-06-18 от https://scholargate.app/bg/compare