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Presentation of the Method of Density Slices: An Answer to the Multitendencies Problems

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Book cover Computational Statistics

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Abstract

This paper presents a mixed method allowing to structurate a given set of points of a multidimensional space into several subsets having their own regression hyperplanes or factorial decomposition. The method is based on density concepts adapted from the Percolation Method.

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References

  1. El May, H., (1991) Extension de la Régression Classique à des Problèmes Typologiques et Présentation de la Méthode des Tranches de Densité: une Approche Basée sur la Percolation. Thèse de doctorat, IAE-Université d’Aix-Marseille III.

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  2. Trémolières, R., (1983) The generalized percolation for data analysis and pattern recognition. New Trends in Data Analysis and Applications, J. Jansen, J.F. Moncotochino, J.M. Proth, ed., North Holland, New York, pp. 125–145.

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  3. Trémolières, R., (1982) Typogrammes et correlation typologique, cahiers d’Econometrie Appliquée. Librairie de l’Université (Ed.), Aix-en-Provence, pp. 257-280.

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Author information

Authors and Affiliations

  1. Department of Econometrics, University of Geneva, Uni Mail, Bd Carl Vogt 102, 1211, Geneva 4, Switzerland

    H. El May & R. Trémolières

  2. IAE, University of Aix-Marseille III, 13540, Puyricard, France

    H. El May & R. Trémolières

  3. ESSEC, 95021, Cergy Cedex, France

    H. El May & R. Trémolières

Authors
  1. H. El May
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  2. R. Trémolières
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Editor information

Editors and Affiliations

  1. Groupe de Statistique, University of Neuchâtel, Pierre-à-Mazel 7, CH-2000, Neuchâtel, Switzerland

    Yadolah Dodge (Professor of Statistics and Operations Research) (Professor of Statistics and Operations Research)

  2. Lancaster University, GB-Lancaster, LA1 4YE, Great Britain

    Joe Whittaker (Professor of Mathematics) (Professor of Mathematics)

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© 1992 Springer-Verlag Berlin Heidelberg

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Cite this paper

El May, H., Trémolières, R. (1992). Presentation of the Method of Density Slices: An Answer to the Multitendencies Problems. In: Dodge, Y., Whittaker, J. (eds) Computational Statistics. Physica, Heidelberg. https://doi.org/10.1007/978-3-662-26811-7_25

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  • DOI: https://doi.org/10.1007/978-3-662-26811-7_25

  • Publisher Name: Physica, Heidelberg

  • Print ISBN: 978-3-662-26813-1

  • Online ISBN: 978-3-662-26811-7

  • eBook Packages: Springer Book Archive

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