Monica Billio () (Department of Economics, University Of Venice Cà Foscari) Roberto Casarin (University of Brescia) Domenico Sartore (Department of Economics, University Of Venice Cà Foscari)
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In time series analysis, latent factors are often introduced to model the heterogeneous time evolution of the observed processes. The presence of unobserved components makes the maximum likelihood estimation method more difficult to apply. A Bayesian approach can sometimes be preferable since it permits to treat general state space models and makes easier the simulation based approach to parameters estimation and latent factors filtering. The paper examines economic time series models in a Bayesian perspective focusing, through some examples, on the extraction of the business cycle components. We briefly review some general univariate Bayesian dynamic models and discuss the simulation based techniques, such as Gibbs sampling, adaptive importance sampling and finally suggest the use of the particle filter, for parameter estimation and latent factor extraction.
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Paper provided by University of Venice "Ca' Foscari", Department of Economics in its series Working Papers with number
2007_34.
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