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Bivariate copulas, norms and non-exchangeability

Author

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  • Papini Pier Luigi

    (Via Martucci, 19, 40136 Bologna, Italy)

Abstract

The present paper is related to the study of asymmetry for copulas by introducing functionals based on different norms for continuous variables. In particular, we discuss some facts concerning asymmetry and we point out some flaws occurring in the recent literature dealing with this matter.

Suggested Citation

  • Papini Pier Luigi, 2015. "Bivariate copulas, norms and non-exchangeability," Dependence Modeling, De Gruyter, vol. 3(1), pages 1-7, November.
    • Handle: RePEc:vrs:demode:v:3:y:2015:i:1:p:7:n:14
    DOI: 10.1515/demo-2015-0014
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    References listed on IDEAS

    as
    1. Karl Siburg & Pavel Stoimenov, 2011. "Symmetry of functions and exchangeability of random variables," Statistical Papers, Springer, vol. 52(1), pages 1-15, February.
    2. Fabrizio Durante & Erich Klement & Carlo Sempi & Manuel Úbeda-Flores, 2010. "Measures of non-exchangeability for bivariate random vectors," Statistical Papers, Springer, vol. 51(3), pages 687-699, September.
    3. Roger Nelsen, 2007. "Extremes of nonexchangeability," Statistical Papers, Springer, vol. 48(4), pages 695-695, October.
    4. Fabrizio Durante & Pier Papini, 2010. "Non-exchangeability of negatively dependent random variables," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 71(2), pages 139-149, March.
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