Bandwidth choice for robust nonparametric scale function estimation

We introduce and compare several robust procedures for bandwidth selection when estimating the variance function. These bandwidth selectors are to be used in combination with the robust scale estimates introduced by Boente et al. (2010a). We consider two different robust cross--validation strategies...

Descripción completa

Detalles Bibliográficos
Autores: Boente Boente, Graciela Lina, Ruiz, Marcelo, Zamar, Rubén
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2012
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/14886
Acceso en línea:http://hdl.handle.net/11336/14886
Access Level:acceso abierto
Palabra clave:Cross-Validation
Data-Driven Bandwidth
Heteroscedasticity
Local M-Estimators
Nonparametric Regression
Robust Estimation
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
Descripción
Sumario:We introduce and compare several robust procedures for bandwidth selection when estimating the variance function. These bandwidth selectors are to be used in combination with the robust scale estimates introduced by Boente et al. (2010a). We consider two different robust cross--validation strategies combined with two ways for measuring the cross--validation prediction error. The different proposals are compared with non robust alternatives using Monte Carlo simulation. We also derive some asymptotic results to investigate the large sample performance of the corresponding robust data--driven scale estimators.