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Clustering probability distributions

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  • Tai Vo Van
  • T. Pham-Gia

Abstract

This article presents some theoretical results on the maximum of several functions, and its use to define the joint distance of k probability densities, which, in turn, serves to derive new algorithms for clustering densities. Numerical examples are presented to illustrate the theory.

Suggested Citation

  • Tai Vo Van & T. Pham-Gia, 2010. "Clustering probability distributions," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(11), pages 1891-1910.
    • Handle: RePEc:taf:japsta:v:37:y:2010:i:11:p:1891-1910
    DOI: 10.1080/02664760903186049
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    References listed on IDEAS

    as
    1. T. Pham-Gia & N. Turkkan & A. Bekker, 2006. "Bayesian Analysis in the L 1 -Norm of the Mixing Proportion Using Discriminant Analysis," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 64(1), pages 1-22, August.
    2. Glenn Milligan & Martha Cooper, 1985. "An examination of procedures for determining the number of clusters in a data set," Psychometrika, Springer;The Psychometric Society, vol. 50(2), pages 159-179, June.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Hieu Huynh-Van & Tuan Le-Hoang & Tai Vo-Van, 2024. "Classifying for images based on the extracted probability density function and the quasi Bayesian method," Computational Statistics, Springer, vol. 39(5), pages 2677-2701, July.
    2. Thao Nguyen-Trang & Tai Vo-Van, 2017. "A new approach for determining the prior probabilities in the classification problem by Bayesian method," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 11(3), pages 629-643, September.
    3. Tai VoVan & Thao Nguyen Trang, 2018. "Similar Coefficient of Cluster for Discrete Elements," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 80(1), pages 19-36, May.
    4. Ha Che-Ngoc & Thao Nguyen-Trang & Tran Nguyen-Bao & Trung Nguyen-Thoi & Tai Vo-Van, 2022. "A new approach for face detection using the maximum function of probability density functions," Annals of Operations Research, Springer, vol. 312(1), pages 99-119, May.
    5. Thao Nguyentrang & Tai Vovan, 2017. "Fuzzy clustering of probability density functions," Journal of Applied Statistics, Taylor & Francis Journals, vol. 44(4), pages 583-601, March.
    6. Tai Vovan & Dinh Phamtoan & Le Hoang Tuan & Thao Nguyentrang, 2021. "An automatic clustering for interval data using the genetic algorithm," Annals of Operations Research, Springer, vol. 303(1), pages 359-380, August.

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