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Model Autoregresif Tak Linear (NAR)×Model ARIMA (Autoregressive Integrated Moving Average)×Model ARMA (Autoregresif Moving Average)×
BidangEkonometrikEkonometrikEkonometrik
KeluargaRegression modelRegression modelRegression model
Tahun asal1978-199019701970
PengasasTong, H. (threshold AR); Terasvirta, T. (STAR variant)George Box and Gwilym JenkinsGeorge E. P. Box and Gwilym M. Jenkins
JenisNonlinear time series modelTime series forecasting modelTime series model
Sumber perintisTong, 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 ↗Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗
AliasNAR model, nonlinear autoregression, NLAR, threshold autoregressive modelARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)ARMA, Box-Jenkins model, autoregressive moving average, AR(p)MA(q)
Berkaitan665
RingkasanThe 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.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.
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ScholarGateBandingkan kaedah: Nonlinear AR Model · ARIMA model · ARMA model. Dicapai 2026-06-18 daripada https://scholargate.app/ms/compare