The statistical shape theory via QR decomposition and based on Gaussian and isotropic models is extended in this paper to the families of non-isotropic elliptical distributions. The new shape distributions are easily computable and then the inference procedure can be studied with the resulting exact...

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Autores:
Tipo de recurso:
Fecha de publicación:
2014
Institución:
Universidad de Medellín
Repositorio:
Repositorio UDEM
Idioma:
eng
OAI Identifier:
oai:repository.udem.edu.co:11407/1344
Acceso en línea:
http://hdl.handle.net/11407/1344
Palabra clave:
maximum likelihood estimators
non-central and non-isotropic shape density
QR decomposition
shape theory
zonal polynomials
Rights
restrictedAccess
License
http://purl.org/coar/access_right/c_16ec
Description
Summary:The statistical shape theory via QR decomposition and based on Gaussian and isotropic models is extended in this paper to the families of non-isotropic elliptical distributions. The new shape distributions are easily computable and then the inference procedure can be studied with the resulting exact densities. An application in Biology is studied under two Kotz models, the best distribution (non-Gaussian) is selected by using a modified Bayesian information criterion (BIC)*. © 2013 © 2013 Taylor & Francis.