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Ikke-lineær ARMA-model (NARMA)×ARCH-model (Autoregressiv Betinget Heteroskedasticitet)×
FagområdeØkonometriØkonometri
FamilieRegression modelRegression model
Oprindelsesår1980s–1990s1982
OphavspersonTong (1990); Granger & Terasvirta (1993)Robert F. Engle
TypeNonlinear time series modelConditional volatility model
Oprindelig kildeTong, 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 ↗
AliasserNARMA, nonlinear ARMA, NLARMA, nonlinear autoregressive moving averageARCH, autoregressive conditional heteroskedasticity, Engle ARCH, conditional variance model
Relaterede26
ResuméThe 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.
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ScholarGateSammenlign metoder: Nonlinear ARMA model · ARCH model. Hentet 2026-06-15 fra https://scholargate.app/da/compare