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Scale mixtures of skew-normal-Cauchy distributions

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  • Kahrari, F.
  • Arellano-Valle, R.B.
  • Rezaei, M.
  • Yousefzadeh, F.

Abstract

We propose the scale mixtures of multivariate skew-normal-Cauchy distributions as a new class of asymmetric heavy-tailed distributions. We derive an EM algorithm for maximum likelihood estimation.

Suggested Citation

  • Kahrari, F. & Arellano-Valle, R.B. & Rezaei, M. & Yousefzadeh, F., 2017. "Scale mixtures of skew-normal-Cauchy distributions," Statistics & Probability Letters, Elsevier, vol. 126(C), pages 1-6.
    • Handle: RePEc:eee:stapro:v:126:y:2017:i:c:p:1-6
    DOI: 10.1016/j.spl.2017.02.027
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    References listed on IDEAS

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    1. Marc Genton & Nicola Loperfido, 2005. "Generalized skew-elliptical distributions and their quadratic forms," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 57(2), pages 389-401, June.
    2. Branco, Márcia D. & Dey, Dipak K., 2001. "A General Class of Multivariate Skew-Elliptical Distributions," Journal of Multivariate Analysis, Elsevier, vol. 79(1), pages 99-113, October.
    3. Arellano-Valle, Reinaldo B. & Genton, Marc G., 2005. "On fundamental skew distributions," Journal of Multivariate Analysis, Elsevier, vol. 96(1), pages 93-116, September.
    4. Kahrari, F. & Rezaei, M. & Yousefzadeh, F. & Arellano-Valle, R.B., 2016. "On the multivariate skew-normal-Cauchy distribution," Statistics & Probability Letters, Elsevier, vol. 117(C), pages 80-88.
    5. Arellano-Valle, Reinaldo B. & Genton, Marc G. & Loschi, Rosangela H., 2009. "Shape mixtures of multivariate skew-normal distributions," Journal of Multivariate Analysis, Elsevier, vol. 100(1), pages 91-101, January.
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    Cited by:

    1. F. Kahrari & C. S. Ferreira & R. B. Arellano-Valle, 2019. "Skew-Normal-Cauchy Linear Mixed Models," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 81(2), pages 185-202, December.
    2. Arellano-Valle, Reinaldo B. & Ferreira, Clécio S. & Genton, Marc G., 2018. "Scale and shape mixtures of multivariate skew-normal distributions," Journal of Multivariate Analysis, Elsevier, vol. 166(C), pages 98-110.

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