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مدل ARCH فوریه×مدل GARCH (پیش‌بینی نوسانات)×
حوزهاقتصادسنجیاقتصادسنجی
خانوادهRegression modelRegression model
سال پیدایش2010s1986
پدیدآورExtends Engle (1982) ARCH framework with Fourier terms following Enders & Lee (2012)Tim Bollerslev
نوعVolatility model with smooth structural changeConditional volatility model
منبع بنیادینEngle, R. F. (1982). Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation. Econometrica, 50(4), 987–1007. DOI ↗Bollerslev, T. (1986). Generalized Autoregressive Conditional Heteroskedasticity. Journal of Econometrics, 31(3), 307–327. DOI ↗
نام‌های دیگرFourier-ARCH, F-ARCH, ARCH with Fourier terms, Fourier smooth transition ARCHGARCH, GARCH(1,1), conditional volatility model, GARCH Modeli (Oynaklık Tahmini)
مرتبط65
خلاصهThe 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 Generalized Autoregressive Conditional Heteroskedasticity (GARCH) model, introduced by Tim Bollerslev in 1986, models the time-varying conditional variance of a financial time series. It captures volatility clustering and the ARCH effect, and is the standard tool for estimating risk and volatility in return series.
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ScholarGateمقایسهٔ روش‌ها: Fourier ARCH Model · GARCH Model. بازیابی‌شده در 2026-06-17 از https://scholargate.app/fa/compare