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Title: The importance of being the upper bound in the bivariate family.
Author: Cuadras, C. M. (Carlos María)
Keywords: Anàlisi de correspondències (Estadística)
Estadística matemàtica
Correspondence analysis (Statistics)
Mathematical statistics
Issue Date: 2006
Publisher: Institut d'Estadística de Catalunya
Abstract: Any bivariate cdf is bounded by the Fr ´echet-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.
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It is part of: Sort (Statistics and Operations Research Transactions), 2006, vol. 30, p. 55-84
ISSN: 1696-2281
Appears in Collections:Articles publicats en revistes (Genètica, Microbiologia i Estadística)

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