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Model SARIMA×Model ARMA (Autoregresívny kĺzavý priemer)×Autoregregresný model (AR)×Model kĺzavých priemerov (MA)×
OdborEkonometriaEkonometriaEkonometriaEkonometria
RodinaRegression modelRegression modelRegression modelRegression model
Rok vzniku1970 (first edition); 1976 (revised)19701970s (popularised 1976)1970
TvorcaBox, Jenkins, and ReinselGeorge E. P. Box and Gwilym M. JenkinsGeorge E. P. Box and Gwilym M. JenkinsBox and Jenkins
TypSeasonal time series modelTime series modelTime series modelLinear time series model
Pôvodný zdrojBox, G. E. P., Jenkins, G. M., & Reinsel, G. C. (1976). Time Series Analysis: Forecasting and Control (revised ed.). Holden-Day. ISBN: 978-0130607744Box, 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: 978-0816211043Box, G. E. P., Jenkins, G. M., & Reinsel, G. C. (1976). Time Series Analysis: Forecasting and Control (revised ed.). Holden-Day. ISBN: 978-0130607744
Ďalšie názvySARIMA, seasonal ARIMA, Box-Jenkins seasonal model, ARIMA with seasonal componentARMA, Box-Jenkins model, autoregressive moving average, AR(p)MA(q)AR model, AR(p) model, autoregression, AR processMA model, MA(q) process, moving-average process, Box-Jenkins MA
Príbuzné5565
ZhrnutieSARIMA 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.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.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.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: SARIMA model · ARMA model · Autoregressive model · Moving Average Model. Získané 2026-06-18 z https://scholargate.app/sk/compare