An extension of the well known matrix Kummer relation of Herz (1955) is proposed in this paper by assuming a general model which admits a Taylor expansion. Under certain conditions of the involved parameters, the addressed generalisation can be used for deriving efficiently computable matrix variate...

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Autores:
Tipo de recurso:
Fecha de publicación:
2015
Institución:
Universidad de Medellín
Repositorio:
Repositorio UDEM
Idioma:
eng
OAI Identifier:
oai:repository.udem.edu.co:11407/1372
Acceso en línea:
http://hdl.handle.net/11407/1372
Palabra clave:
Hypergeometric function
Matrix Kummer relations
Zonal polynomials.
Rights
restrictedAccess
License
http://purl.org/coar/access_right/c_16ec
Description
Summary:An extension of the well known matrix Kummer relation of Herz (1955) is proposed in this paper by assuming a general model which admits a Taylor expansion. Under certain conditions of the involved parameters, the addressed generalisation can be used for deriving efficiently computable matrix variate densities based on non Gaussian models, avoiding some open problems of the literature in the context of shape theory and other related fields. © Publisher