A robust multivariate measurement error model with skew-normal/independent distributions and Bayesian MCMC implementation

Skew-normal/independent distributions are a class of asymmetric thick-tailed distributions that include the skew-normal distribution as a special case. In this paper, we explore the use of Markov Chain Monte Carlo (MCMC) methods to develop a Bayesian analysis in multivariate measurement errors model...

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Bibliographic Details
Published in:	Statistical methodology Vol. 6; no. 5; pp. 527 - 541
Main Authors:	Lachos, V.H., Garibay, V., Labra, F.V., Aoki, R.
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 01-09-2009
Subjects:	Gibbs sampling Metropolis–Hastings Skew-normal/independent distributions Gibbs sampling Metropolis–Hastings Skew-normal/independent distributions
Online Access:	Get full text
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Summary:	Skew-normal/independent distributions are a class of asymmetric thick-tailed distributions that include the skew-normal distribution as a special case. In this paper, we explore the use of Markov Chain Monte Carlo (MCMC) methods to develop a Bayesian analysis in multivariate measurement errors models. We propose the use of skew-normal/independent distributions to model the unobserved value of the covariates (latent variable) and symmetric normal/independent distributions for the random errors term, providing an appealing robust alternative to the usual symmetric process in multivariate measurement errors models. Among the distributions that belong to this class of distributions, we examine univariate and multivariate versions of the skew-normal, skew- t , skew-slash and skew-contaminated normal distributions. The results and methods are applied to a real data set.
ISSN:	1572-3127 1878-0954
DOI:	10.1016/j.stamet.2009.06.002