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Combining Soft Computing and Statistical Methods in Data Analysis pp 25–31Cite as

R Code for Hausdorff and Simplex Dispersion Orderings in the 2D Case

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

Abstract

This paper proposes a software implementation using R of the Hausdorff and simplex dispersion orderings. A copy can be downloaded from http://www.uv.es/~ayala/software/fun-disp.R . The paper provides some examples using the functions exactHausdorff for the Hausdorff dispersion ordering and the function simplex for the simplex dispersion orderings. Some auxiliary functions are commented too.

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References

  1. Ayala, G., López-Díaz, M.: The simplex dispersion ordering and its application to the evaluation of human corneal endothelia. J. Multivariate Anal. 100, 1447–1464 (2009)

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  2. Ayala, G., López-Díaz, M.C., López-Díaz, M., Martínez-Costa, L.: Methods and algorithms to test the simplex and hausdorff dispersion orders with a simulation study and an ophthalmological application. Technical report, Universidad de Oviedo (2010)

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  3. Genz, A., Bretz, F., Hothorn, T.: mvtnorm: Multivariate Normal and t Distributions. R package version 0.9-2 (2008)

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  4. Grasman, R., Gramacy, R.B.: geometry: Mesh generation and surface tesselation. R package version 0.1-3 (2008)

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  6. López-Díaz, M.: An indexed multivariate dispersion ordering based on the Hausdorff distance. J. Multivariate Anal. 97(7), 1623–1637 (2006)

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Author information

Authors and Affiliations

  1. Dpto. de Estadística e Investigación Operativa, Universidad de Valencia, 46100, Burjasot, Spain

    Guillermo Ayala

Authors
  1. Guillermo Ayala
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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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Ayala, G. (2010). R Code for Hausdorff and Simplex Dispersion Orderings in the 2D Case. 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_4

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  • DOI: https://doi.org/10.1007/978-3-642-14746-3_4

  • 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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