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Mitte-lineaarne ARIMA mudel×ARIMA mudel (autoregressiivne integreeritud libisev keskmine)×
ValdkondÖkonomeetriaÖkonomeetria
PerekondRegression modelRegression model
Tekkeaasta1978-19941970
LoojaHowell Tong (SETAR/TAR framework); Timo Terasvirta (STAR extensions)George Box and Gwilym Jenkins
TüüpNonlinear time series modelTime series forecasting model
AlgallikasTong, H. (1990). Non-Linear Time Series: A Dynamical System Approach. Oxford University Press. ISBN: 9780198522249Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗
Rööpnimetusednonlinear ARIMA, NARIMA, nonlinear time series model, nonlinear Box-Jenkins modelARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)
Seotud36
KokkuvõteThe Nonlinear ARIMA model extends the classical Box-Jenkins ARIMA framework by allowing the conditional mean of a time series to depend on past values and past errors through a nonlinear function. It encompasses families such as Threshold AR (TAR/SETAR), Smooth Transition AR (STAR/LSTAR/ESTAR), and Markov-switching models, capturing asymmetric dynamics, regime changes, and business-cycle asymmetries that linear ARIMA cannot represent.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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ScholarGateVõrdle meetodeid: Nonlinear ARIMA model · ARIMA model. Loetud 2026-06-17 aadressilt https://scholargate.app/et/compare