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Autoregresīvās nosacītās heteroskedastiskuma (ARCH) modelis×ARIMA modelis (autoregresīvais integrētais slīdošais vidējais)×DCC-GARCH modelis (Dynamic Conditional Correlation)×EGARCH modelis (eksponenciālais GARCH)×GARCH modelis (volatilitātes prognozēšana)×
NozareEkonometrijaEkonometrijaEkonometrijaEkonometrijaEkonometrija
SaimeRegression modelRegression modelRegression modelRegression modelRegression model
Izcelsmes gads19821970200219911986
AutorsRobert F. EngleGeorge Box and Gwilym JenkinsRobert F. EngleDaniel B. NelsonTim Bollerslev
TipsConditional volatility modelTime series forecasting modelMultivariate volatility modelVolatility / conditional variance modelConditional volatility model
PirmavotsEngle, 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 ↗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 ↗
Citi nosaukumiARCH, 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 DCCExponential GARCH, EGARCH, Nelson EGARCH, log-GARCHGARCH, GARCH(1,1), conditional volatility model, GARCH Modeli (Oynaklık Tahmini)
Saistītās66565
KopsavilkumsThe 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.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.
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ScholarGateSalīdzināt metodes: ARCH model · ARIMA model · DCC-GARCH model · EGARCH model · GARCH Model. Izgūts 2026-06-19 no https://scholargate.app/lv/compare