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Doctoral Thesis
DOI
10.11606/T.45.2007.tde-19082007-191440
Document
Author
Full name
Mariela Fernández
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2007
Supervisor
Committee
Kolev, Nikolai Valtchev (President)
Dreifus, Henrique Von
Fernandes, Cristiano Augusto Coelho
Gamerman, Dani
Louzada Neto, Francisco
Title in Portuguese
Influência do comportamento marginal na densidade conjunta bivariada
Keywords in Portuguese
Aproximação de densidades
comportamento marginal
dependência bivariada
Abstract in Portuguese
Neste trabalho propomos a representação de uma densidade bivariada segundo a natureza geométrica das marginais. Uma densidade contínua pode ser aproximada pela exponencial de um polinômio num domínio limitado. Tal aproximação permite estudar a influência do comportamento marginal e condicional sobre a densidade conjunta. Esse estudo é realizado encontrando os conjuntos dos possíveis valores dos coeficientes do polinômio segundo a informação dada sobre as densidades marginais ou as densidades condicionais. Também analisamos os coeficientes segundo algumas medidas de dependência. Concluímos mostrando a influência do comportamento marginal e condicional sobre variáveis aleatórias discretas.
Title in English
Influence of the marginal behavior on the joint density
Keywords in English
bivariate dependence
density approximation
marginal behavior
Abstract in English
In this work we propose a representation of a bivariate density according to the geometrical nature of the marginals. A continuous density can be approximated by the exponencial of a polynomial in a finite domain. Such approximation let us study the influence of the marginal and conditional behavior on the joint density. This study is done by finding the possible values of the polynomial coefficients upon the given information about the marginal or the conditional densities. We also analyze the coefficients according some dependence measures. We conclude showing the influence of the marginal and conditional behavior on discrete random variables.
 
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tese_Mariela.pdf (827.91 Kbytes)
Publishing Date
2007-10-15
 
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