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SARIMA modell×ARIMA modell (Autoregressive Integrated Moving Average)×ARMA-modell (Autoregresszív Mozgóátlag)×Autoregresszív modell (AR)×
TudományterületÖkonometriaÖkonometriaÖkonometriaÖkonometria
MódszercsaládRegression modelRegression modelRegression modelRegression model
Keletkezés éve1970 (first edition); 1976 (revised)197019701970s (popularised 1976)
MegalkotóBox, Jenkins, and ReinselGeorge Box and Gwilym JenkinsGeorge E. P. Box and Gwilym M. JenkinsGeorge E. P. Box and Gwilym M. Jenkins
TípusSeasonal time series modelTime series forecasting modelTime series modelTime series model
AlapműBox, 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. (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
Alternatív nevekSARIMA, seasonal ARIMA, Box-Jenkins seasonal model, ARIMA with seasonal componentARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)ARMA, Box-Jenkins model, autoregressive moving average, AR(p)MA(q)AR model, AR(p) model, autoregression, AR process
Kapcsolódó5656
ÖsszefoglalóSARIMA 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 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.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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ScholarGateMódszerek összehasonlítása: SARIMA model · ARIMA model · ARMA model · Autoregressive model. Letöltve 2026-06-18, forrás: https://scholargate.app/hu/compare