Covariance reducing models: An alternative to spectral modelling of covariance matrices

We introduce covariance reducing models for studying the sample covariance matrices of a random vector observed in different populations. The models are based on reducing the sample covariance matrices to an informational core that is sufficient to characterize the variance heterogeneity among the p...

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Detalles Bibliográficos
Autores: Cook, R. Dennis, Forzani, Liliana Maria
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2008
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/84236
Acceso en línea:http://hdl.handle.net/11336/84236
Access Level:acceso abierto
Palabra clave:CENTRAL SUBSPACE
DIMENSION REDUCTION
ENVELOPES
GRASSMANN MANIFOLDS
REDUCING SUBSPACES
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
Descripción
Sumario:We introduce covariance reducing models for studying the sample covariance matrices of a random vector observed in different populations. The models are based on reducing the sample covariance matrices to an informational core that is sufficient to characterize the variance heterogeneity among the populations. They possess useful equivariance properties and provide a clear alternative to spectral models for covariance matrices.