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傅里叶自回归条件异方差模型 (Fourier ARCH Model)×时间变系数自回归条件异方差模型 (TVP-ARCH)×
领域计量经济学计量经济学
方法族Regression modelRegression model
起源年份2010s1980s–1990s
提出者Extends 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
类型Volatility model with smooth structural changeConditional heteroscedasticity model with time-varying coefficients
开创性文献Engle, 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 ↗
别名Fourier-ARCH, F-ARCH, ARCH with Fourier terms, Fourier smooth transition ARCHTVP-ARCH, time-varying ARCH, adaptive ARCH, state-space ARCH
相关65
摘要The 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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ScholarGate方法对比: Fourier ARCH Model · Time-varying parameter ARCH model. 于 2026-06-18 检索自 https://scholargate.app/zh/compare