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Bivariate Density Classification by the Geometry of the Marginals

Author

Listed:
  • Fernández Mariela

    (Department of Applied Mathematics, Institute of Mathematics and Statistics, University of São Paulo, Rua de Matão 1010, 05508-090 São Paulo, SP. Brazil)

  • Kolev Nikolai

    (Department of Statistics, Institute of Mathematics and Statistics, University of São Paulo, Rua de Matão 1010, 05508-090 São Paulo, SP. Brazil)

Abstract

In this work we propose a representation of a bivariate density corresponding to the given geometrical behavior of the marginals. A continuous density with compact support can be approximated by the exponential of an infinite polynomial. We find intervals for the possible values of its coefficients in the simplest cases upon the available information about the marginals.

Suggested Citation

  • Fernández Mariela & Kolev Nikolai, 2007. "Bivariate Density Classification by the Geometry of the Marginals," Stochastics and Quality Control, De Gruyter, vol. 22(1), pages 3-18, January.
    • Handle: RePEc:bpj:ecqcon:v:22:y:2007:i:1:p:3-18:n:6
    DOI: 10.1515/EQC.2007.3
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    References listed on IDEAS

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    1. Samuel Kotz & J. Renevan Dorp, 2002. "A versatile bivariate distribution on a bounded domain: Another look at the product moment correlation," Journal of Applied Statistics, Taylor & Francis Journals, vol. 29(8), pages 1165-1179.
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