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ARIMA-modellen (Autoregressive Integrated Moving Average)×ARMA-model (Autoregressiv glidende gennemsnit)×SARIMA-model×
FagområdeØkonometriØkonometriØkonometri
FamilieRegression modelRegression modelRegression model
Oprindelsesår197019701970 (first edition); 1976 (revised)
OphavspersonGeorge Box and Gwilym JenkinsGeorge E. P. Box and Gwilym M. JenkinsBox, Jenkins, and Reinsel
TypeTime series forecasting modelTime series modelSeasonal time series model
Oprindelig kildeBox, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗Box, G. E. P., Jenkins, G. M., & Reinsel, G. C. (1976). Time Series Analysis: Forecasting and Control (revised ed.). Holden-Day. ISBN: 978-0130607744
AliasserARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)ARMA, Box-Jenkins model, autoregressive moving average, AR(p)MA(q)SARIMA, seasonal ARIMA, Box-Jenkins seasonal model, ARIMA with seasonal component
Relaterede655
ResuméThe 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 ARMA(p,q) model describes a stationary time series as a combination of two components: an autoregressive part that regresses the current value on its own past p values, and a moving average part that accounts for past q error terms. It is the foundational framework of the Box-Jenkins methodology for univariate time series modelling and short-run forecasting.SARIMA extends ARIMA by adding seasonal autoregressive and moving-average operators to capture repeating patterns at fixed intervals — such as monthly, quarterly, or annual cycles. Denoted SARIMA(p,d,q)(P,D,Q)s, it is the standard workhorse for univariate seasonal time series forecasting in econometrics, economics, and official statistics.
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ScholarGateSammenlign metoder: ARIMA model · ARMA model · SARIMA model. Hentet 2026-06-18 fra https://scholargate.app/da/compare