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Linganisha mbinu

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Muundo wa ARCH wa Fourier (Fourier ARCH Model)×Kielelezo cha ARCH kisicho cha Mstari (NARCH)×
NyanjaEkonometrikiEkonometriki
FamiliaRegression modelRegression model
Mwaka wa asili2010s1992
MwanzilishiExtends Engle (1982) ARCH framework with Fourier terms following Enders & Lee (2012)Higgins & Bera
AinaVolatility model with smooth structural changeVolatility model
Chanzo asiliaEngle, R. F. (1982). Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation. Econometrica, 50(4), 987–1007. DOI ↗Higgins, M. L., & Bera, A. K. (1992). A class of nonlinear ARCH models. International Economic Review, 33(1), 137-158. DOI ↗
Majina mbadalaFourier-ARCH, F-ARCH, ARCH with Fourier terms, Fourier smooth transition ARCHNARCH, Nonlinear ARCH, nonlinear conditional heteroscedasticity model, NARCH model
Zinazohusiana64
MuhtasariThe 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 Nonlinear ARCH (NARCH) model, introduced by Higgins and Bera (1992), extends Engle's original ARCH framework by allowing the power transformation of volatility to be estimated from the data rather than fixed at two. This flexibility captures a broader class of volatility dynamics observed in financial and macroeconomic time series.
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  3. PUBLISHED

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ScholarGateLinganisha mbinu: Fourier ARCH Model · Nonlinear ARCH model. Imepatikana 2026-06-18 kutoka https://scholargate.app/sw/compare