Local dependence in bivariate copulae with Beta marginals
Copyright policy )Local dependence in bivariate copulae with Beta marginals
The local dependence function (LDF) describes changes in the correlation structure of continuous bivariate random variables along their range. Bivariate density functions with Beta marginals can be used to model jointly a wide variety of data with bounded outcomes in the (0,1) range, e.g. proportions. In this paper we obtain expressions for the LDF of bivariate densities constructed using three different copula models (Frank, Gumbel and Joe) with Beta marginal distributions, present examples for each, and discuss an application of these models to analyse data collected in a study of marks obtained on a statistics exam by postgraduate students.
- National University of Colombia Colombia
- UNIVERSITY COLLEGE LONDON, Bartlett School of Planning United Kingdom
- University College London United Kingdom
asociación, distribución Beta, 31 Colecciones de estadística general / Statistics, Beta distribution, Association, Bivariate distribution, local dependence function, correlación, Measures of association (correlation, canonical correlation, etc.), función de distribución bivariada, Statistics, association, beta distribution, bivariate distribution, Correlation, cópula, HA1-4737, Copula, bivariate densities, 51 Matemáticas / Mathematics, Asociación, correlation, copula
asociación, distribución Beta, 31 Colecciones de estadística general / Statistics, Beta distribution, Association, Bivariate distribution, local dependence function, correlación, Measures of association (correlation, canonical correlation, etc.), función de distribución bivariada, Statistics, association, beta distribution, bivariate distribution, Correlation, cópula, HA1-4737, Copula, bivariate densities, 51 Matemáticas / Mathematics, Asociación, correlation, copula
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