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ARMA-model (Autoregressiv glidende gennemsnit)×ARIMA-modellen (Autoregressive Integrated Moving Average)×Autoregressiv model (AR)×
FagområdeØkonometriØkonometriØkonometri
FamilieRegression modelRegression modelRegression model
Oprindelsesår197019701970s (popularised 1976)
OphavspersonGeorge E. P. Box and Gwilym M. JenkinsGeorge Box and Gwilym JenkinsGeorge E. P. Box and Gwilym M. Jenkins
TypeTime series modelTime series forecasting modelTime 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. (1976). Time Series Analysis: Forecasting and Control (revised ed.). Holden-Day. ISBN: 978-0816211043
AliasserARMA, Box-Jenkins model, autoregressive moving average, AR(p)MA(q)ARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)AR model, AR(p) model, autoregression, AR process
Relaterede566
ResuméThe 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.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.An autoregressive model of order p — AR(p) — expresses the current value of a time series as a linear function of its own p most recent past values plus a white-noise error. It is the building block of the Box-Jenkins family of time-series models and is widely used for forecasting stationary economic and financial series.
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ScholarGateSammenlign metoder: ARMA model · ARIMA model · Autoregressive model. Hentet 2026-06-18 fra https://scholargate.app/da/compare