Shape mixtures of multivariate skew-normal distributions
Reinaldo B. Arellano-Valle,
Marc G. Genton and
Rosangela H. Loschi
Journal of Multivariate Analysis, 2009, vol. 100, issue 1, 91-101
Abstract:
Classes of shape mixtures of independent and dependent multivariate skew-normal distributions are considered and some of their main properties are studied. If interpreted from a Bayesian point of view, the results obtained in this paper bring tractability to the problem of inference for the shape parameter, that is, the posterior distribution can be written in analytic form. Robust inference for location and scale parameters is also obtained under particular conditions.
Keywords: 62H05; 62E15; Bayes; Conjugacy; Shape; parameter; Skewness; Skew-normal; distribution; Regression; model; Robustness (search for similar items in EconPapers)
Date: 2009
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