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Fourier ARCH-modell×Tidsvarierende parameter ARCH-modell (TVP-ARCH)×
FagfeltØkonometriØkonometri
FamilieRegression modelRegression model
Opprinnelsesår2010s1980s–1990s
OpphavspersonExtends Engle (1982) ARCH framework with Fourier terms following Enders & Lee (2012)Extension of Engle (1982) ARCH; TVP-ARCH formalization credited to Nicholls & Quinn and subsequent state-space literature
TypeVolatility model with smooth structural changeConditional heteroscedasticity model with time-varying coefficients
Opprinnelig kildeEngle, 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 ARCHTVP-ARCH, time-varying ARCH, adaptive ARCH, state-space ARCH
Relaterte65
SammendragThe 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 Time-Varying Parameter ARCH (TVP-ARCH) model extends the classic ARCH framework by allowing both the conditional mean coefficients and the ARCH variance parameters to drift over time according to a random-walk or state-space process. This makes it possible to capture structural shifts in volatility dynamics without imposing a fixed parameter regime.
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ScholarGateSammenlign metoder: Fourier ARCH Model · Time-varying parameter ARCH model. Hentet 2026-06-18 fra https://scholargate.app/no/compare