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The Pickands representation of survival Marshall-Olkin copulas

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  • Mai, Jan-Frederik
  • Scherer, Matthias

Abstract

The Pickands representation of an arbitrary survival Marshall-Olkin copula is computed. In dimension d>=2, the corresponding dependence measure is discrete with support consisting of 2d-1 atoms on the d-dimensional unit simplex.

Suggested Citation

  • Mai, Jan-Frederik & Scherer, Matthias, 2010. "The Pickands representation of survival Marshall-Olkin copulas," Statistics & Probability Letters, Elsevier, vol. 80(5-6), pages 357-360, March.
    • Handle: RePEc:eee:stapro:v:80:y:2010:i:5-6:p:357-360
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    References listed on IDEAS

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    1. Mai, Jan-Frederik & Scherer, Matthias, 2009. "Lévy-frailty copulas," Journal of Multivariate Analysis, Elsevier, vol. 100(7), pages 1567-1585, August.
    2. Li, Haijun, 2009. "Orthant tail dependence of multivariate extreme value distributions," Journal of Multivariate Analysis, Elsevier, vol. 100(1), pages 243-256, January.
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    Cited by:

    1. Jianhua Lin & Xiaohu Li, 2014. "Multivariate Generalized Marshall–Olkin Distributions and Copulas," Methodology and Computing in Applied Probability, Springer, vol. 16(1), pages 53-78, March.
    2. Li, Yang & Sun, Jianguo & Song, Shuguang, 2012. "Statistical analysis of bivariate failure time data with Marshall–Olkin Weibull models," Computational Statistics & Data Analysis, Elsevier, vol. 56(6), pages 2041-2050.

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