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Tests of symmetry for bivariate copulas


  • Christian Genest


  • Johanna Nešlehová


  • Jean-François Quessy



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Suggested Citation

  • Christian Genest & Johanna Nešlehová & Jean-François Quessy, 2012. "Tests of symmetry for bivariate copulas," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 64(4), pages 811-834, August.
  • Handle: RePEc:spr:aistmt:v:64:y:2012:i:4:p:811-834 DOI: 10.1007/s10463-011-0337-6

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    References listed on IDEAS

    1. Genest, Christian & Segers, Johan, 2010. "On the covariance of the asymptotic empirical copula process," Journal of Multivariate Analysis, Elsevier, vol. 101(8), pages 1837-1845, September.
    2. Hilton, Joan F. & Gee, Lauren, 1997. "The size and power of the exact bivariate symmetry test," Computational Statistics & Data Analysis, Elsevier, vol. 26(1), pages 53-69, November.
    3. Nikolay Nenovsky & S. Statev, 2006. "Introduction," Post-Print halshs-00260898, HAL.
    4. Bücher, Axel & Dette, Holger, 2010. "A note on bootstrap approximations for the empirical copula process," Statistics & Probability Letters, Elsevier, vol. 80(23-24), pages 1925-1932, December.
    5. Rémillard, Bruno & Scaillet, Olivier, 2009. "Testing for equality between two copulas," Journal of Multivariate Analysis, Elsevier, vol. 100(3), pages 377-386, March.
    6. Liebscher, Eckhard, 2008. "Construction of asymmetric multivariate copulas," Journal of Multivariate Analysis, Elsevier, vol. 99(10), pages 2234-2250, November.
    7. Roger Nelsen, 2007. "Extremes of nonexchangeability," Statistical Papers, Springer, vol. 48(4), pages 695-695, October.
    8. McNeil, Alexander J. & Neslehová, Johanna, 2010. "From Archimedean to Liouville copulas," Journal of Multivariate Analysis, Elsevier, vol. 101(8), pages 1772-1790, September.
    9. Carabarin-Aguirre, Alberto & Ivanoff, B. Gail, 2010. "Estimation of a distribution under generalized censoring," Journal of Multivariate Analysis, Elsevier, vol. 101(6), pages 1501-1519, July.
    10. repec:sae:ecolab:v:16:y:2006:i:2:p:1-2 is not listed on IDEAS
    11. Fang, Hong-Bin & Fang, Kai-Tai & Kotz, Samuel, 2002. "The Meta-elliptical Distributions with Given Marginals," Journal of Multivariate Analysis, Elsevier, vol. 82(1), pages 1-16, July.
    12. Hilton, Joan F., 2000. "A new asymptotic distribution for Hollander's bivariate symmetry statistic," Computational Statistics & Data Analysis, Elsevier, vol. 32(3-4), pages 455-463, January.
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    Cited by:

    1. Christian Genest & Johanna Nešlehová, 2014. "On tests of radial symmetry for bivariate copulas," Statistical Papers, Springer, vol. 55(4), pages 1107-1119, November.
    2. Mangold, Benedikt, 2017. "New concepts of symmetry for copulas," FAU Discussion Papers in Economics 06/2017, Friedrich-Alexander University Erlangen-Nuremberg, Institute for Economics.
    3. repec:spr:stpapr:v:58:y:2017:i:4:d:10.1007_s00362-016-0743-1 is not listed on IDEAS
    4. Bücher, Axel & Volgushev, Stanislav, 2013. "Empirical and sequential empirical copula processes under serial dependence," Journal of Multivariate Analysis, Elsevier, vol. 119(C), pages 61-70.
    5. Siburg, Karl Friedrich & Stehling, Katharina & Stoimenov, Pavel A. & Weiß, Gregor N.F., 2016. "An order of asymmetry in copulas, and implications for risk management," Insurance: Mathematics and Economics, Elsevier, vol. 68(C), pages 241-247.
    6. repec:eee:csdana:v:112:y:2017:i:c:p:24-41 is not listed on IDEAS
    7. Quessy, Jean-François & Éthier, François, 2012. "Cramér–von Mises and characteristic function tests for the two and k-sample problems with dependent data," Computational Statistics & Data Analysis, Elsevier, vol. 56(6), pages 2097-2111.
    8. Elisa Luciano & Jaap Spreeuw & Elena Vigna, 2012. "Evolution of coupled lives' dependency across generations and pricing impact," Carlo Alberto Notebooks 258, Collegio Carlo Alberto.
    9. Mazo, Gildas & Girard, Stéphane & Forbes, Florence, 2015. "A class of multivariate copulas based on products of bivariate copulas," Journal of Multivariate Analysis, Elsevier, vol. 140(C), pages 363-376.
    10. Azam Dehgani & Ali Dolati & Manuel Úbeda-Flores, 2013. "Measures of radial asymmetry for bivariate random vectors," Statistical Papers, Springer, vol. 54(2), pages 271-286, May.
    11. repec:spr:stpapr:v:58:y:2017:i:2:d:10.1007_s00362-015-0703-1 is not listed on IDEAS


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