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Ikke-lineær Autoregressiv (NAR) Model×ARMA-model (Autoregressiv glidende gennemsnit)×Autoregressiv model (AR)×
FagområdeØkonometriØkonometriØkonometri
FamilieRegression modelRegression modelRegression model
Oprindelsesår1978-199019701970s (popularised 1976)
OphavspersonTong, H. (threshold AR); Terasvirta, T. (STAR variant)George E. P. Box and Gwilym M. JenkinsGeorge E. P. Box and Gwilym M. Jenkins
TypeNonlinear time series modelTime series modelTime series model
Oprindelig kildeTong, 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. (1976). Time Series Analysis: Forecasting and Control (revised ed.). Holden-Day. ISBN: 978-0816211043
AliasserNAR model, nonlinear autoregression, NLAR, threshold autoregressive modelARMA, Box-Jenkins model, autoregressive moving average, AR(p)MA(q)AR model, AR(p) model, autoregression, AR process
Relaterede656
ResuméThe 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.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.
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ScholarGateSammenlign metoder: Nonlinear AR Model · ARMA model · Autoregressive model. Hentet 2026-06-18 fra https://scholargate.app/da/compare