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Shaping tail dependencies by nesting box copulas

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  • Christoph Hummel

Abstract

We introduce a family of copulas which are locally piecewise uniform in the interior of the unit cube of any given dimension. Within that family, the simultaneous control of tail dependencies of all projections to faces of the cube is possible and we give an efficient sampling algorithm. The combination of these two properties may be appealing to risk modellers.

Suggested Citation

  • Christoph Hummel, 2009. "Shaping tail dependencies by nesting box copulas," Papers 0906.4853, arXiv.org, revised Aug 2009.
  • Handle: RePEc:arx:papers:0906.4853
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    File URL: http://arxiv.org/pdf/0906.4853
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    References listed on IDEAS

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    1. Eckhard Platen & Renata Rendek, 2007. "Empirical Evidence on Student-t Log-Returns of Diversified World Stock Indices," Research Paper Series 194, Quantitative Finance Research Centre, University of Technology, Sydney.
    2. Lax, Melvin & Cai, Wei & Xu, Min, 2006. "Random Processes in Physics and Finance," OUP Catalogue, Oxford University Press, number 9780198567769.
    3. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
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    Cited by:

    1. Arbenz, Philipp & Hummel, Christoph & Mainik, Georg, 2012. "Copula based hierarchical risk aggregation through sample reordering," Insurance: Mathematics and Economics, Elsevier, vol. 51(1), pages 122-133.
    2. Diers, Dorothea & Eling, Martin & Marek, Sebastian D., 2012. "Dependence modeling in non-life insurance using the Bernstein copula," Insurance: Mathematics and Economics, Elsevier, vol. 50(3), pages 430-436.

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