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Mitte lineaarne autoregressiivne (NAR) mudel×ARIMA mudel (autoregressiivne integreeritud libisev keskmine)×
ValdkondÖkonomeetriaÖkonomeetria
PerekondRegression modelRegression model
Tekkeaasta1978-19901970
LoojaTong, H. (threshold AR); Terasvirta, T. (STAR variant)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: 9780198522201Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗
RööpnimetusedNAR model, nonlinear autoregression, NLAR, threshold autoregressive modelARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)
Seotud66
KokkuvõteThe Nonlinear AR model extends the classical autoregressive framework by allowing the mapping from past values to the current value to follow an arbitrary or regime-switching nonlinear function. Major families include the Self-Exciting Threshold AR (SETAR), Smooth Transition AR (STAR), and neural network AR, each capturing different forms of asymmetry, regime shifts, or smooth nonlinear dynamics in univariate time series.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 AR Model · ARIMA model. Loetud 2026-06-17 aadressilt https://scholargate.app/et/compare