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Μοντέλο ARCH (Αυτοπαλίνδρομη Συνθηκική Ετεροσκεδαστικότητα)×Μοντέλο ARIMA (Αυτοπαλινδρομικό Ολοκληρωμένο Κινητό Μέσος Όρος)×Μοντέλο EGARCH (Exponential GARCH)×
ΠεδίοΟικονομετρίαΟικονομετρίαΟικονομετρία
ΟικογένειαRegression modelRegression modelRegression model
Έτος προέλευσης198219701991
ΔημιουργόςRobert F. EngleGeorge Box and Gwilym JenkinsDaniel B. Nelson
ΤύποςConditional volatility modelTime series forecasting modelVolatility / conditional variance model
Θεμελιώδης πηγήEngle, R. F. (1982). Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation. Econometrica, 50(4), 987–1007. DOI ↗Box, 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 ↗
Εναλλακτικές ονομασίεςARCH, autoregressive conditional heteroskedasticity, Engle ARCH, conditional variance modelARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)Exponential GARCH, EGARCH, Nelson EGARCH, log-GARCH
Συναφείς666
ΣύνοψηThe ARCH model, introduced by Robert Engle in 1982, captures time-varying volatility in financial and macroeconomic time series. It models the conditional variance of today's error as a function of past squared errors, explaining why volatile periods cluster together — a phenomenon known as volatility clustering.The 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.
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ScholarGateΣύγκριση μεθόδων: ARCH model · ARIMA model · EGARCH model. Ανακτήθηκε στις 2026-06-19 από https://scholargate.app/el/compare