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Model nieliniowy SARIMA×Model ARIMA (Autoregresyjny Zintegrowany Model Średniej Ruchomej)×
DziedzinaEkonometriaEkonometria
RodzinaRegression modelRegression model
Rok powstania1990–20001970
TwórcaTong (1990) for threshold nonlinear extensions; Franses & van Dijk (2000) for empirical finance applicationsGeorge Box and Gwilym Jenkins
TypNonlinear time series modelTime series forecasting model
Źródło pierwotneTong, H. (1990). Non-linear Time Series: A Dynamical System Approach. Oxford University Press. ISBN: 978-0198523000Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗
Inne nazwyNL-SARIMA, nonlinear seasonal ARIMA, threshold SARIMA, smooth transition SARIMAARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)
Pokrewne36
PodsumowanieThe Nonlinear SARIMA model extends the classical Seasonal ARIMA framework by replacing the linear conditional mean function with a nonlinear specification — such as threshold switching or smooth transition — while retaining seasonal differencing and lag structure. It is used when seasonal time series exhibit regime-dependent dynamics, asymmetric adjustment, or other nonlinear patterns that a linear model cannot capture.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.
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ScholarGatePorównaj metody: Nonlinear SARIMA Model · ARIMA model. Pobrano 2026-06-17 z https://scholargate.app/pl/compare