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Nested Archimedean Copulas Meet R: The nacopula Package

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  • Marius Hofert
  • Martin Maechler
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    Abstract

    The package nacopula provides procedures for constructing nested Archimedean copulas in any dimensions and with any kind of nesting structure, generating vectors of random variates from the constructed objects, computing function values and probabilities of falling into hypercubes, as well as evaluation of characteristics such as Kendall's tau and the tail-dependence coefficients. As by-products, algorithms for various distributions, including exponentially tilted stable and Sibuya distributions, are implemented. Detailed examples are given.

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    File URL: http://www.jstatsoft.org/v39/i09/paper
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    Bibliographic Info

    Article provided by American Statistical Association in its journal Journal of Statistical Software.

    Volume (Year): 39 ()
    Issue (Month): i09 ()
    Pages:

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    Handle: RePEc:jss:jstsof:39:i09

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    Web page: http://www.jstatsoft.org/

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    Cited by:
    1. Ostap Okhrin & Alexander Ristig, 2012. "Hierarchical Archimedean Copulae: The HAC Package," SFB 649 Discussion Papers SFB649DP2012-036, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
    2. Paul Embrechts & Marius Hofert, 2011. "Comments on: Inference in multivariate Archimedean copula models," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 20(2), pages 263-270, August.
    3. Hofert, Marius & Pham, David, 2013. "Densities of nested Archimedean copulas," Journal of Multivariate Analysis, Elsevier, vol. 118(C), pages 37-52.
    4. Schoonees, P.C. & van de Velden, M. & Groenen, P.J.F., 2013. "Constrained Dual Scaling for Detecting Response Styles in Categorical Data," Econometric Institute Research Papers EI 2013-10, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    5. Segers, Johan & Uyttendaele, Nathan, 2014. "Nonparametric estimation of the tree structure of a nested Archimedean copula," Computational Statistics & Data Analysis, Elsevier, vol. 72(C), pages 190-204.
    6. Marta Disegna & Fabrizio Durante & Enrico Foscolo, 2013. "A multivariate nonlinear analysis of tourism expenditures," BEMPS - Bozen Economics & Management Paper Series BEMPS10, School of Economics and Management at the Free University of Bozen.

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