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Nelinearni model ARMA (NARMA)×ARCH model (Autoregressive Conditional Heteroskedasticity)×Model ARMA (Autoregresivni pokretni prosjek)×
PodručjeEkonometrijaEkonometrijaEkonometrija
ObiteljRegression modelRegression modelRegression model
Godina nastanka1980s–1990s19821970
TvoracTong (1990); Granger & Terasvirta (1993)Robert F. EngleGeorge E. P. Box and Gwilym M. Jenkins
VrstaNonlinear time series modelConditional volatility modelTime series model
Temeljni izvorTong, H. (1990). Non-linear Time Series: A Dynamical System Approach. Oxford University Press. ISBN: 978-0198522300Engle, R. F. (1982). Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation. Econometrica, 50(4), 987–1007. DOI ↗Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗
Drugi naziviNARMA, nonlinear ARMA, NLARMA, nonlinear autoregressive moving averageARCH, autoregressive conditional heteroskedasticity, Engle ARCH, conditional variance modelARMA, Box-Jenkins model, autoregressive moving average, AR(p)MA(q)
Srodne265
SažetakThe 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 ARCH model, introduced by Robert Engle in 1982, captures time-varying volatility in financial and macroeconomic time series. It models the conditional variance of today's error as a function of past squared errors, explaining why volatile periods cluster together — a phenomenon known as volatility clustering.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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ScholarGateUsporedite metode: Nonlinear ARMA model · ARCH model · ARMA model. Preuzeto 2026-06-17 s https://scholargate.app/hr/compare