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马尔可夫开关多重分形模型×向量自回归 (VAR)×
领域时间序列计量经济学
方法族Process / pipelineRegression model
起源年份20041980
提出者Luc E. CalvetChristopher A. Sims
类型Stochastic volatility modelMultivariate time-series model
开创性文献Calvet, L. E., & Fisher, A. J. (2004). How to forecast long-run volatility: regime-switching and the estimation of multifractal processes. Journal of Financial Econometrics, 2(1), 49–83. DOI ↗Sims, C. A. (1980). Macroeconomics and Reality. Econometrica, 48(1), 1–48. DOI ↗
别名MSM, Markov-switching multifractal volatilityVAR, VAR model, vector autoregressive model, multivariate autoregression
相关35
摘要The Markov-Switching Multifractal (MSM) model is a flexible framework for capturing time-varying volatility and long-memory effects in financial time series. Developed by Calvet and Fisher (2004), it combines Markov chain theory with multifractal scaling principles to generate volatility that exhibits multiple frequency components, each switching between high and low regimes. This approach is particularly effective for modeling asset returns with realistic fat tails and clustered volatility.Vector Autoregression is a multivariate time-series model in which each variable is regressed on its own lags and the lags of all other variables in the system. Originally proposed by Sims (1980) as a data-driven alternative to large structural macroeconomic models, VAR has become the standard workhorse for dynamic analysis in empirical economics and finance.
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ScholarGate方法对比: Markov-Switching Multifractal · Vector Autoregression. 于 2026-06-18 检索自 https://scholargate.app/zh/compare