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ARCH-model (Autoregressiv Betinget Heteroskedasticitet)×ARIMA-modellen (Autoregressive Integrated Moving Average)×
FagområdeØkonometriØkonometri
FamilieRegression modelRegression model
Oprindelsesår19821970
OphavspersonRobert F. EngleGeorge Box and Gwilym Jenkins
TypeConditional volatility modelTime series forecasting model
Oprindelig kildeEngle, 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 ↗
AliasserARCH, autoregressive conditional heteroskedasticity, Engle ARCH, conditional variance modelARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)
Relaterede66
ResuméThe 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.
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ScholarGateSammenlign metoder: ARCH model · ARIMA model. Hentet 2026-06-15 fra https://scholargate.app/da/compare