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Hierarchical Archimedean Copulae: The HAC Package


  • Ostap Okhrin
  • Alexander Ristig


This paper aims at explanation of the R-package HAC, which provides user friendly methods for dealing with high-dimensional hierarchical Archimedean copulae (HAC). A computationally ecient estimation procedure allows to recover the structure and the parameters of HACs from data. In addition, arbitrary HACs can be constructed to sample random vectors and to compute the values of the corresponding cumulative distribution as well as density functions. Accurate graphics of the important characteristics of the package's object hac can be produced by the generic plot function.

Suggested Citation

  • Ostap Okhrin & Alexander Ristig, 2012. "Hierarchical Archimedean Copulae: The HAC Package," SFB 649 Discussion Papers SFB649DP2012-036, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  • Handle: RePEc:hum:wpaper:sfb649dp2012-036

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    References listed on IDEAS

    1. Cornelia Savu & Mark Trede, 2010. "Hierarchies of Archimedean copulas," Quantitative Finance, Taylor & Francis Journals, vol. 10(3), pages 295-304.
    2. Nikolay Nenovsky & S. Statev, 2006. "Introduction," Post-Print halshs-00260898, HAL.
    3. Genest, Christian & Rémillard, Bruno & Beaudoin, David, 2009. "Goodness-of-fit tests for copulas: A review and a power study," Insurance: Mathematics and Economics, Elsevier, vol. 44(2), pages 199-213, April.
    4. Hofert, Marius & Maechler, Martin, 2011. "Nested Archimedean Copulas Meet R: The nacopula Package," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 39(i09).
    5. repec:sae:ecolab:v:16:y:2006:i:2:p:1-2 is not listed on IDEAS
    6. Ostap Okhrin & Yarema Okhrin & Wolfgang Schmid, 2009. "Properties of Hierarchical Archimedean Copulas," SFB 649 Discussion Papers SFB649DP2009-014, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
    7. Kojadinovic, Ivan & Yan, Jun, 2010. "Modeling Multivariate Distributions with Continuous Margins Using the copula R Package," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 34(i09).
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    Cited by:

    1. Okhrin, Ostap & Ristig, Alexander, 2014. "Hierarchical Archimedean Copulae: The HAC Package," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 58(i04).
    2. 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.
    3. Tente, Natalia & von Westernhagen, Natalja & Slopek, Ulf, 2017. "M-PRESS-CreditRisk: A holistic micro- and macroprudential approach to capital requirements," Discussion Papers 15/2017, Deutsche Bundesbank.
    4. ARAUJO ENCISO Sergio Rene & PIERALLI SIMONE & PEREZ DOMINGUEZ Ignacio, 2017. "Partial Stochastic Analysis with the Aglink-Cosimo Model: A Methodological Overview," JRC Working Papers JRC108837, Joint Research Centre (Seville site).
    5. repec:gam:jecnmx:v:5:y:2017:i:2:p:26-:d:101602 is not listed on IDEAS
    6. Ostap Okhrin & Alexander Ristig & Jeffrey Sheen & Stefan Trück, 2015. "Conditional Systemic Risk with Penalized Copula," SFB 649 Discussion Papers SFB649DP2015-038, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
    7. Targino, Rodrigo S. & Peters, Gareth W. & Shevchenko, Pavel V., 2015. "Sequential Monte Carlo Samplers for capital allocation under copula-dependent risk models," Insurance: Mathematics and Economics, Elsevier, vol. 61(C), pages 206-226.
    8. Penikas, Henry, 2014. "Investment portfolio risk modelling based on hierarchical copulas," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 35(3), pages 18-38.
    9. Feng, Xiaoguang & Hayes, Dermot, 2014. "Is Government Involvement Really Necessary: Implications for Systemic Risk and Crop Reinsurance Contracts," 2014 AAEA: Crop Insurance and the 2014 Farm Bill Symposium: Implementing Change in U.S. Agricultural Policy, October 8-9, Louisville, KY 184241, Agricultural and Applied Economics Association.

    More about this item


    copula; R; hierarchical Archimedean copula (HAC);

    JEL classification:

    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • C87 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Econometric Software

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