Directional Dependence Orders of Random Vectors

In this paper, we define a multivariate order based on the concept of orthant directional dependence and study some of its properties. The relationships with other dependence orders given in the literature are also studied. We analyze the order between two random vectors in terms of their associated...

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Detalles Bibliográficos
Autores: de Amo , Enrique, Rodríguez-Griñolo, Rosario, Úbeda-Flores, Manuel
Tipo de recurso: artículo
Fecha de publicación:2024
País:España
Institución:Universidad Pablo de Olavide (UPO)
Repositorio:RIO. Repositorio Institucional Olavide
Idioma:inglés
OAI Identifier:oai:rio.upo.es:10433/19971
Acceso en línea:https://hdl.handle.net/10433/19971
Access Level:acceso abierto
Palabra clave:Copula
Dependence concept
Directional coefficient
Stochastic order
Descripción
Sumario:In this paper, we define a multivariate order based on the concept of orthant directional dependence and study some of its properties. The relationships with other dependence orders given in the literature are also studied. We analyze the order between two random vectors in terms of their associated copulas and illustrate our results with several examples.