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. proportion...
- Autores:
-
Koutoumanou, Eirini
Wade, Angie
Cortina-Borja, Mario
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2017
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/66497
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/66497
http://bdigital.unal.edu.co/67525/
- Palabra clave:
- 51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
Beta distribution
local dependence function
copula
bivariate densities
Asociación
distribución Beta
cópula
correlación
función de distribución bivariada
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| Summary: | 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. |
|---|