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Original Articles

Tail dependence for skew Laplace distribution and skew Cauchy distribution

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Pages 5224-5233 | Received 18 Dec 2013, Accepted 26 Jun 2014, Published online: 05 Jul 2016

References

  • Abramowitz, M., Stegun, I.A. (1964). Handbook of Mathematical Functions: With Formulas, Graphs, and Mathematical Tables. New York: Dover Publications.
  • Arslan, O. (2010). An alternative multivariate skew Laplace distribution: properties and estimation. Stat. Pap. 51:865–887.
  • Azzalini, A., Capitanio, A. (2003). Distributions generated by perturbation of symmetry with emphasis on a multivariate skew t distribution. J. R. Stat. Soc.: Ser. B (Stat. Methodol.) 65:367–389.
  • Azzalini, A., Dalla Valle, A. (1996). The multivariate skew-normal distribution. Biometrika 83:715–726.
  • Banachewicz, K., van der Vaart, A. (2008). Tail dependence of skewed grouped t-distributions. Stat. Probab. Lett. 78:2388–2399.
  • Behboodian, J., Jamalizadeh, A., Balakrishnan, C. (2006). A new class of skew-Cauch distributions. Stat. Probab. Lett. 76:1488–1493.
  • Embrechts, P., McNeil, A., Straumann, D. (2002). Correlation and Dependence in Risk Management: Properties and Pitfalls. Cambridge: Cambridge University Press.
  • Fung, T., Seneta, E. (2010). Tail dependence for two skew t distribution. Stat. Probab. Lett. 80:784–791.
  • Fung, T., Seneta, E. (2011a). Tail dependence and skew distribution. Quant. Finan. 11:327–333.
  • Fung, T., Seneta, E. (2011b). The bivariate normal copula function is regularly varying. Stat. Probab. Lett. 81:1670–1676.
  • Heffernan, J.E. (2000). A directory of coefficients of tail dependence. Extremes 3:279–390.
  • Kotz, S., Kozubowski, T.J., Podgórski, K. (2001). The Laplace Distribution and Generalizations: A Revisit with Applications to Communications, Economics, Engineering, and Finance. Boston: Birkhäuser.
  • Nelsen, R.B. (2006). An Introduction to Copulas. New York: Springer.
  • Punathumparambatha, B. (2013). A new family of skewed slash distributions generated by the cauchy kernel. Commun. Stat.-Theory Methods 42:2351–2361.
  • Schmidt, R. (2002). Tail dependence for elliptical contoured distributions. Math. Methods Oper. Res. 55:301–327.
  • Yi, W., Liao, S. (2010). Statistical properties of parametric estimators for Markov chain vectors based on copula models. J. Stat. Plann. Inference 140:1465–1480.

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