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Model nieliniowy ARMA (NARMA)×Model ARMA (Autoregresyjny Model Średniej Ruchomej)×
DziedzinaEkonometriaEkonometria
RodzinaRegression modelRegression model
Rok powstania1980s–1990s1970
TwórcaTong (1990); Granger & Terasvirta (1993)George E. P. Box and Gwilym M. Jenkins
TypNonlinear time series modelTime series model
Źródło pierwotneTong, H. (1990). Non-linear Time Series: A Dynamical System Approach. Oxford University Press. ISBN: 978-0198522300Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗
Inne nazwyNARMA, nonlinear ARMA, NLARMA, nonlinear autoregressive moving averageARMA, Box-Jenkins model, autoregressive moving average, AR(p)MA(q)
Pokrewne25
PodsumowanieThe Nonlinear ARMA (NARMA) model extends the classical linear ARMA framework by allowing the conditional mean to depend on past observations and past errors through an arbitrary nonlinear function. It captures complex dynamics — such as regime changes, asymmetric cycles, and threshold effects — that linear models miss, making it valuable for economic and financial 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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