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A General Class of Multivariate Skew-Elliptical Distributions

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Author Info
Branco, Márcia D.
Dey, Dipak K.
Abstract

This paper proposes a general class of multivariate skew-elliptical distributions. We extend earlier results on the so-called multivariate skew-normal distribution. This family of distributions contains the multivariate normal, Student's t, exponential power, and Pearson type II, but with an extra parameter to regulate skewness. We also obtain the moment generating functions and study some distributional properties. Several examples are provided.

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File URL: http://www.sciencedirect.com/science/article/B6WK9-457CH70-H/2/83620137a18d8e40cdbceab5e581dbf7
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Publisher Info
Article provided by Elsevier in its journal Journal of Multivariate Analysis.

Volume (Year): 79 (2001)
Issue (Month): 1 (October)
Pages: 99-113
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Handle: RePEc:eee:jmvana:v:79:y:2001:i:1:p:99-113

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Related research
Keywords: elliptical distributions exponential power family mixture of normals Pearson type II skewness;

Cited by:
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  1. Dongming Zhu & John Galbraith, 2009. "Forecasting Expected Shortfall with a Generalized Asymmetric Student-t Distribution," CIRANO Working Papers 2009s-24, CIRANO. [Downloadable!]
    Other versions:
  2. Dongming Zhu & John Galbraith, 2009. "A Generalized Asymmetric Student-t Distribution with Application to Financial Econometrics," CIRANO Working Papers 2009s-13, CIRANO. [Downloadable!]
    Other versions:
  3. Arjun Gupta & Solomon Harrar & Yasunori Fujikoshi, 2008. "MANOVA for large hypothesis degrees of freedom under non-normality," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 17(1), pages 120-137, May. [Downloadable!] (restricted)
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