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Testing Archimedeanity

  • Conference paper
Combining Soft Computing and Statistical Methods in Data Analysis

Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 77))

Abstract

The aim of this paper is to provide a simple asymptotic test for Archimedeanity. The main idea is to test the associativity, which is a property that distinguish Archimedean among other two-dimensional copulas.

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References

  1. Cherubini, U., Luciano, E., Vecchiato, W.: Copula Methods in Finance. John Wiley & Sons, New York (2004)

    MATH  Google Scholar 

  2. Durante, F., Sempi, C.: Copula Theory: an Introduction. In: Jaworski, P., Durante, F., Härdle, W., Rychlik, T. (eds.) Copula Theory and Its Applications. Proceedings of the Workshop Held in Warsaw, September 25-26, 2009. Lecture Notes in Statistics - Proceedings, vol. 198. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  3. Fermanian, J.-D., Radulović, D., Wegkamp, M.: Weak convergence of empirical copula processes. Bernoulli 10(5), 847–860 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  4. Klement, E.P., Mesiar, R., Pap, E.: Triangular norms. Trends in Logic—Studia Logica Library, vol. 8. Kluwer Academic Publishers, Dordrecht (2000)

    Google Scholar 

  5. McNeil, A.J., Nešlehová, J.: Multivariate Archimedean copulas, d-monotone functions and ℓ1-norm symmetric distributions. Ann. Statist. 37(5B), 3059–3097 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  6. Nelsen, R.B.: An Introduction to Copulas. Springer, New York (2006)

    MATH  Google Scholar 

  7. van der Vaart, A., Wellner, J.A.: Weak convergence and empirical processes: With Applications to Statistics, 2nd edn. Springer, New York (2000)

    Google Scholar 

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Author information

Authors and Affiliations

  1. Institute of Mathematics, University of Warsaw, Poland

    Piotr Jaworski

Authors
  1. Piotr Jaworski
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Editor information

Editors and Affiliations

  1. Research Unit on Intelligent Data Analysis and Graphical Models, European Centre for Soft Computing Edificio Científico-Tecnológico. 3a Planta, C/ Gonzalo Gutiérrez Quirós s/n, 33600, Mieres, Spain

    Christian Borgelt , Gil González-Rodríguez  & Wolfgang Trutschnig ,  & 

  2. Departamento de Estadística e I.O. y D.M., Universidad de Oviedo, Facultad de Ciencias, C/ Calvo Sotelo s/n, 33007, Oviedo, Spain

    María Asunción Lubiano

  3. Departamento de Estadística e I.O. yD.M., Universidad de Oviedo, Facultad de Ciencias, C/ Calvo Sotelo s/n, 33007, Oviedo, Spain

    María Ángeles Gil

  4. Systems Research Institute, Polish Academy of Sciences, Newelska 6, 01-447, Warsaw, Poland

    Przemysław Grzegorzewski

  5. Systems Research Institute, Polish Academy of Science, Newelska 6, 01-447, Warsaw, Poland

    Olgierd Hryniewicz

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© 2010 Springer-Verlag Berlin Heidelberg

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Jaworski, P. (2010). Testing Archimedeanity. In: Borgelt, C., et al. Combining Soft Computing and Statistical Methods in Data Analysis. Advances in Intelligent and Soft Computing, vol 77. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14746-3_44

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  • DOI: https://doi.org/10.1007/978-3-642-14746-3_44

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-14745-6

  • Online ISBN: 978-3-642-14746-3

  • eBook Packages: EngineeringEngineering (R0)

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