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Combining Soft Computing and Statistical Methods in Data Analysis pp 437–442Cite as

On the Preservations of Contractions: An Application to Stochastic Orders

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

Abstract

We obtain conditions for a function to preserve contractions, which do not involve convex sums of orthogonal matrices. The verification of such conditions implies, in general, a considerable saving of time compared with checking conditions already known. An application to stochastic orders of the above results is developed.

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References

  1. Eaton, M.L.: On group induced orderings, monotone functions, and convolution theorems. In: Tong, Y.L. (ed.) Proceedings of the Symposium on Inequalities in Statistics and Probability (Lincoln, Nebraska, 1982), Inst. Math. Statist., Hayward, CA. IMS Lecture Notes - Monographs Series, vol. 5 (1984)

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Author information

Authors and Affiliations

  1. Departamento de Matemáticas, Universidad de Oviedo, E-33007, Oviedo, Spain

    M. C. López-Díaz

  2. Departamento de Estadística e I.O. y D.M., Universidad de Oviedo, E-33007, Oviedo, Spain

    M. López-Díaz

Authors
  1. M. C. López-Díaz
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  2. M. López-Díaz
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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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López-Díaz, M.C., López-Díaz, M. (2010). On the Preservations of Contractions: An Application to Stochastic Orders. 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_54

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  • DOI: https://doi.org/10.1007/978-3-642-14746-3_54

  • 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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