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Model Autoregresif Nonlinier (NAR)×Model ARIMA (Autoregressive Integrated Moving Average)×Model ARMA (Autoregressive Moving Average)×Model Autoregresif (AR)×Model ARDL Nonlinier (NARDL)×
BidangEkonometrikaEkonometrikaEkonometrikaEkonometrikaEkonometrika
KeluargaRegression modelRegression modelRegression modelRegression modelRegression model
Tahun asal1978-1990197019701970s (popularised 1976)2014
PencetusTong, H. (threshold AR); Terasvirta, T. (STAR variant)George Box and Gwilym JenkinsGeorge E. P. Box and Gwilym M. JenkinsGeorge E. P. Box and Gwilym M. JenkinsShin, Yu & Greenwood-Nimmo
TipeNonlinear time series modelTime series forecasting modelTime series modelTime series modelNonlinear cointegration 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 ↗Box, G. E. P., & Jenkins, G. M. (1976). Time Series Analysis: Forecasting and Control (revised ed.). Holden-Day. ISBN: 978-0816211043Shin, Y., Yu, B., & Greenwood-Nimmo, M. (2014). Modelling asymmetric cointegration and dynamic multipliers in a nonlinear ARDL framework. In R. C. Sickles & W. C. Horrace (Eds.), Festschrift in Honor of Peter Schmidt: Econometric Methods and Applications (pp. 281–314). Springer. 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)AR model, AR(p) model, autoregression, AR processNARDL, nonlinear bounds test, asymmetric ARDL, asymmetric cointegration model
Terkait66565
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.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.The Nonlinear ARDL (NARDL) model extends the linear ARDL bounds-testing framework to allow asymmetric long-run and short-run relationships. By decomposing the regressor into cumulative positive and negative partial sums, it tests whether increases and decreases in a variable exert different effects on the outcome — a feature especially relevant in financial and energy economics where positive and negative shocks rarely cancel out symmetrically.
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ScholarGateBandingkan metode: Nonlinear AR Model · ARIMA model · ARMA model · Autoregressive model · Nonlinear ARDL. Diakses 2026-06-18 dari https://scholargate.app/id/compare