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نموذج فورييه ARCH (Fourier ARCH Model)×نموذج ARCH (الانحراف المعياري الشرطي الذاتي الانحدار)×
المجالالاقتصاد القياسيالاقتصاد القياسي
العائلةRegression modelRegression model
سنة النشأة2010s1982
صاحب الطريقةExtends Engle (1982) ARCH framework with Fourier terms following Enders & Lee (2012)Robert F. Engle
النوعVolatility model with smooth structural changeConditional volatility model
المصدر التأسيسيEngle, 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 ↗
الأسماء البديلةFourier-ARCH, F-ARCH, ARCH with Fourier terms, Fourier smooth transition ARCHARCH, autoregressive conditional heteroskedasticity, Engle ARCH, conditional variance model
ذات صلة66
الملخصThe 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
  2. 2 المصادر
  3. PUBLISHED
  1. v1
  2. 2 المصادر
  3. PUBLISHED

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ScholarGateقارن الطرق: Fourier ARCH Model · ARCH model. استُرجع بتاريخ 2026-06-17 من https://scholargate.app/ar/compare