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Data Augmentation in the Bayesian Multivariate Probit Model

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  • Roberto Leon Gonzalez

Abstract

This paper is concerned with the Bayesian estimation of a Multivariate Probit model. In particular, this paper provides an algorithm that obtains draws with low correlation much faster than a pure Gibbs sampling algorithm. The algorithm consists in sampling some characteristics of slope and variance parameters marginally on the latent data. Estimations with simulated datasets illustrate that the proposed algorithm can be much faster than a pure Gibbs sampling algorithm. For some datasets, the algorithm is also much faster than the e±cient algorithm proposed by Liu and Wu (1999) in the context of the univariate Probit model.

Suggested Citation

  • Roberto Leon Gonzalez, 2004. "Data Augmentation in the Bayesian Multivariate Probit Model," Working Papers 2004001, The University of Sheffield, Department of Economics, revised Jan 2004.
  • Handle: RePEc:shf:wpaper:2004001
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    File URL: http://www.shef.ac.uk/economics/research/serps/articles/2004_01.html
    File Function: First version, 2004
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    Cited by:

    1. Padilla, Juan L. & Azevedo, Caio L.N. & Lachos, Victor H., 2018. "Multidimensional multiple group IRT models with skew normal latent trait distributions," Journal of Multivariate Analysis, Elsevier, vol. 167(C), pages 250-268.
    2. Azevedo, Caio L.N. & Andrade, Dalton F. & Fox, Jean-Paul, 2012. "A Bayesian generalized multiple group IRT model with model-fit assessment tools," Computational Statistics & Data Analysis, Elsevier, vol. 56(12), pages 4399-4412.

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