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On the Distribution Equivalence in Cluster Analysis

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Pattern Recognition Theory and Applications

Part of the book series: NATO ASI Series ((NATO ASI F,volume 30))

Abstract

One of the first problems to be solved in cluster analysis particularly when using hierarchical clustering methods is to choose adequate measures of comparison between entities to be clustered.

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References

  1. Anderberg, M.R., Cluster Analysis for Applications, Acad. Press, New York, 1973

    Google Scholar 

  2. Bacelar-Nicolau, H., “Analyse d’un Algorithme de Classification Automatique,” Thèse de Doctorat de 3ème Cycle, Univ. Paris VI (Pierre et Marie Curie), 1972.

    Google Scholar 

  3. Bacelar-Nicolau, H., “Contributions to the Study of Comparison Coefficients in Cluster Analysis,” (in Portuguese), Ph. D. Thesis, Fac. Ciências Univ. Lisboa, 1980.

    Google Scholar 

  4. Bacelar-Nicolau, H., “The affinity coefficient in cluster analysis,” Meth. Oper. Res., 53, 507–512, 1985.

    Google Scholar 

  5. Lerman, I.C., “Sur l’analyse des données préalables à une classification automatique, proposition d’une nouvelle mesure de classification,” Rapport n.32, 8ème année, MSH, Paris, 1970.

    Google Scholar 

  6. Lerman, I.C., “Etude distributionnelle de statistiques de proximité entre structures finies de même type, application à la classification automatique,” Cahiers du B.U.R.O., n.19, Paris, xxx 1973.

    Google Scholar 

  7. Lerman, I.C., Classification et Analyse Ordinale des Données, Dunod, Paris, 1981.

    MATH  Google Scholar 

  8. Mendes, J. Fragoso and Figueira, M.L. and Bacelar-Nicolau, H., “Suicidal behaviour in schizophrenia,” (in Port.), J.O Med., 1439, vol. XC, 563–580, 1979.

    Google Scholar 

  9. Nicolau, F. Costa, “Cluster analysis and distribution function,” Meth. Oper. Res., 45, 431–434, 1983.

    Google Scholar 

  10. Nicolau, F. Costa, “Analysis of a non-hierarchical clustering method based on VL- similarity,” Meth. Oper. Res., 53, 603–610, 1985.

    Google Scholar 

  11. Nicolau, F. Costa and Bacelar-Nicolau, H., “Nouvelles méthodes d’agrégation basées sur la fonction de répartition,” Coll. Séminaires INRIA, Class. Perc. Or- din., 45–60, 1981.

    Google Scholar 

  12. Sibson, R., “Order invariant methods for data analysis,” JRSS, B, 34, n.3, 1972,

    Google Scholar 

  13. Sokal, R.R. and Sneath, P.H., Principles of Numerical Taxonomy, Freeman, San Francisco, 1963.

    Google Scholar 

  14. Tiago de Oliveira, J., “The 8 method for obtention of asymptotic distributions; applications,” Publ. Inst. Statist. Univ. Paris, vol. XXVII, 49–70, 1982.

    Google Scholar 

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© 1987 Springer-Verlag Berlin Heidelberg

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Nicolau, H.B. (1987). On the Distribution Equivalence in Cluster Analysis. In: Devijver, P.A., Kittler, J. (eds) Pattern Recognition Theory and Applications. NATO ASI Series, vol 30. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83069-3_7

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  • DOI: https://doi.org/10.1007/978-3-642-83069-3_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-83071-6

  • Online ISBN: 978-3-642-83069-3

  • eBook Packages: Springer Book Archive

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