Bivariate Density Classification by the Geometry of the Marginals

Fernández Mariela and Kolev Nikolai
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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

Stochastics and Quality Control, 2007, vol. 22, issue 1, 3-18

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.

Keywords: Bivariate density; Marginal behavior; Stone-Weierstrass approximation (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:bpj:ecqcon:v:22:y:2007:i:1:p:3-18:n:6

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DOI: 10.1515/EQC.2007.3

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