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Tail dependence of perturbed copulas

  • Research Article
  • Open access
  • Published: 01 June 2016
  • Volume 15, pages 153–160, (2016)
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Tail dependence of perturbed copulas
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  • Jozef Komorník1,
  • Magda Komorníková2,
  • Jana Kalická2 &
  • …
  • Cuong Nguyen3 
  • 56 Accesses

  • 2 Citations

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Abstract

In this paper, we extend our investigations of a special class of perturbations of copulas introduced in [7]. Despite a surprising fact that this kind of perturbations does not change the value of tail dependence of the original copulas, their use yielded models with considerably improved fitting qualities.

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References

  1. D. Berg and H. Bakken, Copula Goodness-of-fit Tests: A Comparative Study, Working paper (University of Oslo and Norwegian Computing Center, 2006)

  2. M.I. Bhatti and C.C. Nguyen, Diversification evidence from international equity markets using extreme valeus and stochastic copulas, Jounal of International Financial Markets, Institutions & Money 22 (2012) 622–646

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  6. P. Kumar, Probability Distributions and Estimation of Ali-Mikhail-Haq Copula, Applied Mathematical Sciences 4/14 (2010) 657–666

  7. R. Mesiar, M. Komorníková and J. Komorník, Perturbation of bivariate copula, Fuzzy Sets and System 268 (2015) 127–140

  8. R.B. Nelsen, An introduction to copulas, 2nd edn. Springer Series in Statistics, (Springer-Verlag, New York, 2007)

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Author information

Authors and Affiliations

  1. Faculty of Management, Comenius University, Odbojárov 10, P.O.Box 95, 820 05, Bratislava, Slovakia

    Jozef Komorník

  2. Faculty of Civil Engineering, Slovak University of Technology, Radlinského 11, 810 05, Bratislava, Slovakia

    Magda Komorníková & Jana Kalická

  3. Faculty of Commerce, Lincoln University, PO Box 85084, Lincoln, 7647, Canterbury, New Zealand

    Cuong Nguyen

Authors
  1. Jozef Komorník
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  2. Magda Komorníková
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  3. Jana Kalická
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  4. Cuong Nguyen
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Corresponding author

Correspondence to Jozef Komorník.

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Cite this article

Komorník, J., Komorníková, M., Kalická, J. et al. Tail dependence of perturbed copulas. J Stat Theory Appl 15, 153–160 (2016). https://doi.org/10.2991/jsta.2016.15.2.5

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  • Received: 15 July 2015

  • Accepted: 11 November 2015

  • Published: 01 June 2016

  • Issue Date: June 2016

  • DOI: https://doi.org/10.2991/jsta.2016.15.2.5

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Keywords

  • Copula
  • perturbation of copula
  • tail dependence
  • Real Estate Investment Trust (REIT) index
  • returns of REIT indexes

2000 Mathematics Subject Classification

  • 60E99
  • 62P20
  • 91B70
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