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مدل خودبازگشتی غیرخطی (NAR)×مدل ARMA (میانگین متحرک خودرگرسیو)×
حوزهاقتصادسنجیاقتصادسنجی
خانوادهRegression modelRegression model
سال پیدایش1978-19901970
پدیدآورTong, H. (threshold AR); Terasvirta, T. (STAR variant)George E. P. Box and Gwilym M. Jenkins
نوعNonlinear time series modelTime series model
منبع بنیادینTong, 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 ↗
نام‌های دیگرNAR model, nonlinear autoregression, NLAR, threshold autoregressive modelARMA, Box-Jenkins model, autoregressive moving average, AR(p)MA(q)
مرتبط65
خلاصهThe 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 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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  3. PUBLISHED

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ScholarGateمقایسهٔ روش‌ها: Nonlinear AR Model · ARMA model. بازیابی‌شده در 2026-06-15 از https://scholargate.app/fa/compare