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Importance sampling from posterior distributions using copula-like approximations

Petros Dellaportas and Mike Tsionas

Journal of Econometrics, 2019, vol. 210, issue 1, 45-57

Abstract: We provide generic approximations to k-dimensional posterior distributions through an importance sampling strategy. The importance function is a product of k univariate of Student-t densities and a k-dimensional beta-Liouville density truncated on the hypercube. The parameters of the densities and the number of components in the mixtures are adaptively optimised along the Monte Carlo sampling. For challenging high dimensional latent Gaussian models we propose a nested importance function approximation. We apply the techniques to a range of econometric models that have appeared in the literature, and we document their satisfactory performance relative to the alternatives.

Keywords: Bayesian analysis; Beta-Liouville distribution; GARCH; EGARCH; Simultaneous equation model; Vector autoregressive (search for similar items in EconPapers)
JEL-codes: C11 C13 (search for similar items in EconPapers)
Date: 2019
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Journal of Econometrics is currently edited by T. Amemiya, A. R. Gallant, J. F. Geweke, C. Hsiao and P. M. Robinson

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