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Model AR Fourier×Model ARMA (Autoregresif Moving Average)×
BidangEkonometrikEkonometrik
KeluargaRegression modelRegression model
Tahun asal20121970
PengasasEnders & LeeGeorge E. P. Box and Gwilym M. Jenkins
JenisTime series model with Fourier augmentationTime series model
Sumber perintisEnders, W., & Lee, J. (2012). A unit root test using a Fourier series to approximate smooth breaks. Oxford Bulletin of Economics and Statistics, 74(4), 574–599. DOI ↗Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗
AliasFourier AR, trigonometric AR model, smooth transition AR with Fourier terms, FAR modelARMA, Box-Jenkins model, autoregressive moving average, AR(p)MA(q)
Berkaitan65
RingkasanThe Fourier AR model extends the standard autoregressive specification by adding trigonometric (sine and cosine) terms to the deterministic component. This allows the model to capture smooth, gradual shifts in the mean or trend of a time series without requiring the researcher to locate or count structural break points explicitly.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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ScholarGateBandingkan kaedah: Fourier AR Model · ARMA model. Dicapai 2026-06-17 daripada https://scholargate.app/ms/compare