Likelihood-Based Sufficient Dimension Reduction

We obtain the maximum likelihood estimator of the central subspace under conditional normality of the predictors given the response. Analytically and in simulations we found that our new estimator can preform much better than sliced inverse regression, sliced average variance estimation and directio...

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Detalles Bibliográficos
Autores: Cook, R. Dennis, Forzani, Liliana Maria
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2009
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/84065
Acceso en línea:http://hdl.handle.net/11336/84065
Access Level:acceso abierto
Palabra clave:Central Subspace
Directional Regression
Grassmann Manifolds
Sliced Average Variance Estimation
Sliced Inverse Regression
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
Descripción
Sumario:We obtain the maximum likelihood estimator of the central subspace under conditional normality of the predictors given the response. Analytically and in simulations we found that our new estimator can preform much better than sliced inverse regression, sliced average variance estimation and directional regression, and that it seems quite robust to deviations from normality.