Construction of multivariate distributions: a review of some recent results

The construction of multivariate distributions is an active field of research in theoretical and applied statistics. In this paper some recent developments in this field are reviewed. Specifically, we study and review the following set of methods: (a) Construction of multivariate distributions based...

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Detalles Bibliográficos
Autores: Sarabia Alegría, José María|||0000-0002-9619-4721, Gómez Déniz, Emilio
Tipo de recurso: artículo
Fecha de publicación:2008
País:España
Institución:Universidad de Cantabria (UC)
Repositorio:UCrea Repositorio Abierto de la Universidad de Cantabria
Idioma:inglés
OAI Identifier:oai:repositorio.unican.es:10902/4213
Acceso en línea:http://hdl.handle.net/10902/4213
Access Level:acceso abierto
Palabra clave:Order statistics
Rosenblatt transformation
Mixture distributions
Conditionally specified distributions
Skew distributions
Variables in common
Multivariate weighted distributions
Vines
Multivariate Zipf distributions
Associated random variables
Descripción
Sumario:The construction of multivariate distributions is an active field of research in theoretical and applied statistics. In this paper some recent developments in this field are reviewed. Specifically, we study and review the following set of methods: (a) Construction of multivariate distributions based on order statistics, (b) Methods based on mixtures, (c) Conditionally specified distributions, (d) Multivariate skew distributions, (e) Distributions based on the method of the variables in common and (f) Other methods, which include multivariate weighted distributions, vines and multivariate Zipf distributions.