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Autoregressiivisen ehdollisen heteroskedastisuuden (ARCH) malli×ARIMA-malli (Autoregressiivinen integroitu liukuva keskiarvo)×GARCH-malli (volatiliteetin ennustaminen)×
TieteenalaEkonometriaEkonometriaEkonometria
MenetelmäperheRegression modelRegression modelRegression model
Syntyvuosi198219701986
KehittäjäRobert F. EngleGeorge Box and Gwilym JenkinsTim Bollerslev
TyyppiConditional volatility modelTime series forecasting modelConditional volatility model
AlkuperäislähdeEngle, 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 ↗Bollerslev, T. (1986). Generalized Autoregressive Conditional Heteroskedasticity. Journal of Econometrics, 31(3), 307–327. DOI ↗
RinnakkaisnimetARCH, autoregressive conditional heteroskedasticity, Engle ARCH, conditional variance modelARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)GARCH, GARCH(1,1), conditional volatility model, GARCH Modeli (Oynaklık Tahmini)
Liittyvät665
TiivistelmäThe 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 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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ScholarGateVertaile menetelmiä: ARCH model · ARIMA model · GARCH Model. Haettu 2026-06-19 osoitteesta https://scholargate.app/fi/compare