Distributions generated by perturbation of symmetry with emphasis on a multivariate skew t‐distribution

@article{Azzalini2003DistributionsGB,
  title={Distributions generated by perturbation of symmetry with emphasis on a multivariate skew t‐distribution},
  author={A. Azzalini and A. Capitanio},
  journal={Journal of The Royal Statistical Society Series B-statistical Methodology},
  year={2003},
  volume={65},
  pages={367-389}
}
  • A. Azzalini, A. Capitanio
  • Published 2003
  • Mathematics
  • Journal of The Royal Statistical Society Series B-statistical Methodology
  • Summary. A fairly general procedure is studied to perturb a multivariate density satisfying a weak form of multivariate symmetry, and to generate a whole set of non-symmetric densities. The approach is sufficiently general to encompass some recent proposals in the literature, variously related to the skew normal distribution. The special case of skew elliptical densities is examined in detail, establishing connections with existing similar work. The final part of the paper specializes further… CONTINUE READING
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    References

    SHOWING 1-10 OF 51 REFERENCES
    Statistical applications of the multivariate skew normal distribution
    • 1,020
    • PDF
    A General Class of Multivariate Skew-Elliptical Distributions
    • 553
    • Highly Influential
    • PDF
    Multivariate t and beta distributions associated with the multivariate F distribution
    • 50
    Skewed multivariate models related to hidden truncation and/or selective reporting
    • 245
    • PDF
    Generalized skew-elliptical distributions and their quadratic forms
    • 148
    • PDF
    The multivariate skew-normal distribution
    • 924
    • PDF
    The skew-Cauchy distribution
    • 130