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Model ARIMA (Autoregressive Integrated Moving Average)×Model ARMA (Autoregresívny kĺzavý priemer)×Model kĺzavých priemerov (MA)×
OdborEkonometriaEkonometriaEkonometria
RodinaRegression modelRegression modelRegression model
Rok vzniku197019701970
TvorcaGeorge Box and Gwilym JenkinsGeorge E. P. Box and Gwilym M. JenkinsBox and Jenkins
TypTime series forecasting modelTime series modelLinear time series model
Pôvodný zdrojBox, 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
Ďalšie názvyARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)ARMA, Box-Jenkins model, autoregressive moving average, AR(p)MA(q)MA model, MA(q) process, moving-average process, Box-Jenkins MA
Príbuzné655
ZhrnutieThe 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.The Moving Average model of order q — written MA(q) — expresses the current value of a time series as a linear combination of the current and past random shocks (innovations). Unlike the AR model which uses lagged values of the series itself, the MA model uses lagged error terms, making it well-suited for capturing short-lived disturbances that dissipate over q periods.
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ScholarGatePorovnať metódy: ARIMA model · ARMA model · Moving Average Model. Získané 2026-06-18 z https://scholargate.app/sk/compare