The importance of being the upper bound in the bivariate family.

Título inglés	The importance of being the upper bound in the bivariate family.
Título español	La importancia de ser la cota superior en la familia bivariante.
Autor/es	Cuadras, Carles M.
Organización	Univ. Barcelona, Barcelona, España
Revista	1696-2281
Publicación	2006, 30 (1): 55-84, 52 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	Any bivariate cdf is bounded by the Fréchet-Hoeffding lower and upper bounds. We illustrate the importance of the upper bound in several ways. Any bivariate distribution can be written in terms of this bound, which is implicit in logit analysis and the Lorenz curve, and can be used in goodness-of-fit assesment. Any random variable can be expanded in terms of some functions related to this bound. The Bayes approach in comparing two proportions can be presented as the problem of choosing a parametric prior distribution which puts mass on the null hypothesis. Accepting this hypothesis is equivalent to reaching the upper bound. We also present some parametric families making emphasis on this bound.
Clasificación UNESCO	120909
Palabras clave español	Distribuciones bivariantes ; Acotación ; Tablas de contingencia ; Análisis de correlación ; Inferencia bayesiana
Código MathReviews	MR2273331
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