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Model ARCH Fourier×Model ARCH (Autoregressive Conditional Heteroskedasticity)×
BidangEkonometrikaEkonometrika
KeluargaRegression modelRegression model
Tahun asal2010s1982
PencetusExtends Engle (1982) ARCH framework with Fourier terms following Enders & Lee (2012)Robert F. Engle
TipeVolatility model with smooth structural changeConditional volatility model
Sumber perintisEngle, R. F. (1982). Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation. Econometrica, 50(4), 987–1007. DOI ↗Engle, R. F. (1982). Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation. Econometrica, 50(4), 987–1007. DOI ↗
AliasFourier-ARCH, F-ARCH, ARCH with Fourier terms, Fourier smooth transition ARCHARCH, autoregressive conditional heteroskedasticity, Engle ARCH, conditional variance model
Terkait66
RingkasanThe Fourier ARCH model extends the classical ARCH framework by incorporating trigonometric (Fourier) terms into the conditional variance equation. This allows the model to capture smooth, gradual shifts in volatility dynamics over time without assuming abrupt structural breaks, making it well-suited for long financial or macroeconomic time series subject to slowly evolving regime changes.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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  1. v1
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ScholarGateBandingkan metode: Fourier ARCH Model · ARCH model. Diakses 2026-06-17 dari https://scholargate.app/id/compare