So sánh phương pháp

	Mô hình Đa Fractal Chuyển mạch Markov	Mô hình Tự hồi quy Vector (VAR)
Lĩnh vực	Chuỗi thời gian	Kinh tế lượng
Họ	Process / pipeline	Regression model
Năm ra đời	2004	1980
Người khởi xướng	Luc E. Calvet	Christopher A. Sims
Loại	Stochastic volatility model	Multivariate time-series model
Công trình gốc	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.	Sims, C. A. (1980). Macroeconomics and Reality. Econometrica, 48(1), 1–48.
Tên gọi khác	MSM, Markov-switching multifractal volatility	VAR, VAR model, vector autoregressive model, multivariate autoregression
Liên quan	3	5
Tóm tắt	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.