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Skew-Symmetric Families of Distributions

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International Encyclopedia of Statistical Science

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References and Further Reading

  • Arellano-Valle RB, Branco MD, Genton MG (2006) A unified view on skewed distributions arising from selections. Canad J Stat 34:581–601

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  • Azzalini A, Capitanio A (1999) Statistical applications of the multivariate skew normal distribution. J R Stat Soc B 61(3):579–602. Full version of the paper at http://arXiv.org (No. 0911.2093)

  • Azzalini A, Capitanio A (2003) Distributions generated by perturbation of symmetry with emphasis on a multivariate skew t distribution. J R Stat Soc B 65(2):367–389. Full version of the paper at http://arXiv.org (No. 0911.2342)

  • Branco MD, Dey DK (2001) A general class of multivariate skew-elliptical distributions. J Multivariate Anal 79(1):99–113

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  • Genton MG (ed) (2004) Skew-elliptical distributions and their applications: a journey beyond normality. Chapman & Hall/CRC Press, Boca Raton, FL

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  • Genton MG, Loperfido N (2005) Generalized skew-elliptical distributions and their quadratic forms. Ann Inst Stat Math 57: 389–401

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  • Umbach D (2008) Some moment relationships for multivariate skew-symmetric distributions. Stat Probab Lett 78(12): 1619–1623

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  • Wang J, Boyer J, Genton MG (2004) A skew-symmetric representation of multivariate distributions. Stat Sinica 14:1259–1270

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Author information

Authors and Affiliations

  1. University of Padua, Padua, Italy

    Adelchi Azzalini

Authors
  1. Adelchi Azzalini
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Editor information

Editors and Affiliations

  1. Department of Statistics and Informatics, Faculty of Economics, University of Kragujevac, City of Kragujevac, Serbia

    Miodrag Lovric

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© 2011 Springer-Verlag Berlin Heidelberg

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Azzalini, A. (2011). Skew-Symmetric Families of Distributions. In: Lovric, M. (eds) International Encyclopedia of Statistical Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04898-2_524

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