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Nichtlineares gleitendes Durchschnittsmodell (NMA)×ARMA-Modell (Autoregressiver gleitender Durchschnitt)×
FachgebietÖkonometrieÖkonometrie
FamilieRegression modelRegression model
Entstehungsjahr19781970
UrheberGranger & Andersen (bilinear/NMA framework); Tong (nonlinear time series theory)George E. P. Box and Gwilym M. Jenkins
TypNonlinear time series modelTime series model
Wegweisende QuelleGranger, C. W. J., & Andersen, A. P. (1978). An Introduction to Bilinear Time Series Models. Vandenhoeck and Ruprecht, Gottingen. link ↗Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗
AliasnamenNMA model, nonlinear moving average, NLMA model, nonlinear MAARMA, Box-Jenkins model, autoregressive moving average, AR(p)MA(q)
Verwandt45
ZusammenfassungThe Nonlinear Moving Average (NMA) model extends the classical linear MA model by allowing the current observation to depend on past innovations through a nonlinear function rather than a simple weighted sum. It is used in time series analysis when error shocks transmit to outcomes in an asymmetric or state-dependent fashion.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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ScholarGateMethoden vergleichen: Nonlinear MA model · ARMA model. Abgerufen am 2026-06-15 von https://scholargate.app/de/compare