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	Autoregresja wektorowa bayesowska (BVAR)	Wektorowa autokorelacja z uwzględnieniem czynników (FAVAR)	Model Markowa z przełączaniem reżimów (MS-AR / MS-VAR)
Dziedzina	Ekonometria	Ekonometria	Ekonometria
Rodzina	Regression model	Regression model	Regression model
Rok powstania	1986	2005	1989
Twórca	Litterman (1986); Bańbura, Giannone & Reichlin (2010)	Bernanke, Boivin & Eliasz (2005); building on Stock & Watson diffusion indexes	Hamilton (1989); Kim & Nelson (1999)
Typ	Bayesian multivariate time-series model	Multivariate time-series model	Regime-switching time series model
Źródło pierwotne	Litterman, R. B. (1986). Forecasting with Bayesian Vector Autoregressions—Five Years of Experience. Journal of Business & Economic Statistics, 4(1), 25-38.	Bernanke, B. S., Boivin, J. & Eliasz, P. (2005). Measuring the Effects of Monetary Policy: A Factor-Augmented Vector Autoregressive (FAVAR) Approach. The Quarterly Journal of Economics, 120(1), 387-422.	Hamilton, J. D. (1989). A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle. Econometrica, 57(2), 357-384.
Inne nazwy	BVAR, Bayesian vector autoregression, Minnesota prior VAR, Bayesian VAR (BVAR)	factor-augmented VAR, FAVAR model, Faktör Artırımlı VAR (FAVAR)	regime-switching model, Markov-switching autoregression, MS-AR, MS-VAR
Pokrewne	5	4	5
Podsumowanie	Bayesian VAR adds Minnesota or other prior distributions to a vector autoregressive model to control over-parameterisation. Introduced by Litterman (1986) and extended to high dimensions by Bańbura, Giannone and Reichlin (2010), it outperforms classical VAR on short series and high-dimensional macroeconomic forecasts.	FAVAR is a multivariate time-series model that first compresses information from a very large set of variables into a few common factors, then includes those factors alongside the observed variables in a vector autoregression. It was introduced by Bernanke, Boivin and Eliasz in 2005 to study monetary policy using hundreds of macroeconomic indicators at once.	The Markov regime-switching model lets the parameters of a time series change probabilistically across hidden regimes governed by a Markov chain. Introduced by Hamilton (1989) and developed further by Kim and Nelson (1999), it automatically detects business-cycle phases such as expansions and contractions.