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Model EGARCH (Exponenciálny GARCH)×Model ARCH (autoregresná podmienená heteroskedasticita)×Model ARIMA (Autoregressive Integrated Moving Average)×Model DCC-GARCH (dynamická podmienená korelácia)×
OdborEkonometriaEkonometriaEkonometriaEkonometria
RodinaRegression modelRegression modelRegression modelRegression model
Rok vzniku1991198219702002
TvorcaDaniel B. NelsonRobert F. EngleGeorge Box and Gwilym JenkinsRobert F. Engle
TypVolatility / conditional variance modelConditional volatility modelTime series forecasting modelMultivariate volatility model
Pôvodný zdrojNelson, D. B. (1991). Conditional heteroskedasticity in asset returns: A new approach. Econometrica, 59(2), 347–370. DOI ↗Engle, 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 ↗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 ↗
Ďalšie názvyExponential GARCH, EGARCH, Nelson EGARCH, log-GARCHARCH, autoregressive conditional heteroskedasticity, Engle ARCH, conditional variance modelARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)DCC-GARCH, Dynamic Conditional Correlation GARCH, Engle DCC model, multivariate DCC
Príbuzné6665
ZhrnutieThe 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 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 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.
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ScholarGatePorovnať metódy: EGARCH model · ARCH model · ARIMA model · DCC-GARCH model. Získané 2026-06-19 z https://scholargate.app/sk/compare