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Tail asymptotics for the bivariate equi-skew generalized hyperbolic distribution and its Variance-Gamma special case

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  • Fung, Thomas
  • Seneta, Eugene

Abstract

We derive the asymptotic rate of decay to the tail dependence coefficient, zero, of the bivariate Variance-Gamma distribution under an equal-skewness condition, using the bivariate skew Generalized Hyperbolic distribution. The bivariate problem is first reduced to a univariate one.

Suggested Citation

  • Fung, Thomas & Seneta, Eugene, 2021. "Tail asymptotics for the bivariate equi-skew generalized hyperbolic distribution and its Variance-Gamma special case," Statistics & Probability Letters, Elsevier, vol. 178(C).
    • Handle: RePEc:eee:stapro:v:178:y:2021:i:c:s0167715221001449
    DOI: 10.1016/j.spl.2021.109182
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    References listed on IDEAS

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    1. Loperfido, Nicola, 2002. "Statistical implications of selectively reported inferential results," Statistics & Probability Letters, Elsevier, vol. 56(1), pages 13-22, January.
    2. Fung, Thomas & Seneta, Eugene, 2010. "Tail dependence for two skew t distributions," Statistics & Probability Letters, Elsevier, vol. 80(9-10), pages 784-791, May.
    3. Fung, Thomas & Seneta, Eugene, 2014. "Convergence rate to a lower tail dependence coefficient of a skew-t distribution," Journal of Multivariate Analysis, Elsevier, vol. 128(C), pages 62-72.
    4. Fung, Thomas & Seneta, Eugene, 2016. "Tail asymptotics for the bivariate skew normal," Journal of Multivariate Analysis, Elsevier, vol. 144(C), pages 129-138.
    5. Thomas Fung & Eugene Seneta, 2018. "Quantile Function Expansion Using Regularly Varying Functions," Methodology and Computing in Applied Probability, Springer, vol. 20(4), pages 1091-1103, December.
    6. Alexandra Ramos & Anthony Ledford, 2009. "A new class of models for bivariate joint tails," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 71(1), pages 219-241, January.
    7. Hashorva, Enkelejd, 2010. "On the residual dependence index of elliptical distributions," Statistics & Probability Letters, Elsevier, vol. 80(13-14), pages 1070-1078, July.
    8. Anthony W. Ledford & Jonathan A. Tawn, 1997. "Modelling Dependence within Joint Tail Regions," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 59(2), pages 475-499.
    9. Thomas Fung & Eugene Seneta, 2010. "Tail dependence and skew distributions," Quantitative Finance, Taylor & Francis Journals, vol. 11(3), pages 327-333.
    10. Olcay Arslan, 2015. "Variance-mean mixture of the multivariate skew normal distribution," Statistical Papers, Springer, vol. 56(2), pages 353-378, May.
    11. Hua, Lei & Joe, Harry, 2011. "Tail order and intermediate tail dependence of multivariate copulas," Journal of Multivariate Analysis, Elsevier, vol. 102(10), pages 1454-1471, November.
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    Cited by:

    1. Thomas Fung & Eugene Seneta, 2023. "On Familywise Error Rate Cutoffs under Pairwise Exchangeability," Methodology and Computing in Applied Probability, Springer, vol. 25(2), pages 1-13, June.

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