Singular extended skew-elliptical distributions

Singular vector and matrix extended skew-elliptical distributions are studied in this work. Based on the vectorial case, two alternatives for singular matrix variate extended skew-elliptical distribution are also proposed. In addition, the distributions of a general linear transformation for extende...

Descripción completa

Detalles Bibliográficos
Autor: GRACIELA MARIA DE LOS DOLORES GONZALEZ FARIAS
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2008
País:México
Institución:Centro de Investigación en Matemáticas
Repositorio:Repositorio Institucional CIMAT
Idioma:inglés
OAI Identifier:oai:cimat.repositorioinstitucional.mx:1008/936
Acceso en línea:http://cimat.repositorioinstitucional.mx/jspui/handle/1008/936
Access Level:acceso abierto
Palabra clave:info:eu-repo/classification/MSC/Teoría de la Distrubución
info:eu-repo/classification/cti/1
info:eu-repo/classification/cti/12
info:eu-repo/classification/cti/1209
info:eu-repo/classification/cti/120907
Descripción
Sumario:Singular vector and matrix extended skew-elliptical distributions are studied in this work. Based on the vectorial case, two alternatives for singular matrix variate extended skew-elliptical distribution are also proposed. In addition, the distributions of a general linear transformation for extended skew-elliptical vectors and matrices are derived along with the corresponding density functions. These results are applied in the distribution of the residuals for a general linear model with extended skew-elliptical errors.