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Multivariate weighted distributions: a review and some extensions 

Authors: Jorge Navarro a;  Jose M. Ruiz a; Yolanda Del Aguila b
Affiliations:   a Facultad de Matematicas, Departamento de Estadiacutestica e Investigacioacuten Operativa, Universidad de Murcia, Murcia, Spain
b Departamento de Estadiacutestica y Matemaacutetica Aplicada, Universidad de Almeriacutea, Spain
DOI: 10.1080/02331880500439691
Publication Frequency: 6 issues per year
Published in: journal Statistics, Volume 40, Issue 1 February 2006 , pages 51 - 64
Formats available: HTML (English) : PDF (English)
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Abstract

We study some properties for multivariate weighted distributions related to reliability measures, ordering, characterization and dependence properties, by compiling and extending previous results given by different authors. We pay special attention to the multivariate size biased and equilibrium distributions, and propose a new definition for the multivariate equilibrium distribution.
Keywords: Weighted distributions; Reliability measures; Characterization; Ordering; Dependence
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