Stochastic search for semiparametric linear regression models


Autoria(s): Dümbgen, Lutz; Samworth, Richard J.; Schuhmacher, Dominic
Data(s)

01/03/2013

Resumo

This paper introduces and analyzes a stochastic search method for parameter estimation in linear regression models in the spirit of Beran and Millar [Ann. Statist. 15(3) (1987) 1131–1154]. The idea is to generate a random finite subset of a parameter space which will automatically contain points which are very close to an unknown true parameter. The motivation for this procedure comes from recent work of Dümbgen et al. [Ann. Statist. 39(2) (2011) 702–730] on regression models with log-concave error distributions.

Formato

application/pdf

Identificador

http://boris.unibe.ch/41511/1/StochSearch_ims.pdf

Dümbgen, Lutz; Samworth, Richard J.; Schuhmacher, Dominic (1 March 2013). Stochastic search for semiparametric linear regression models. In: From Probability to Statistics and Back: High-Dimensional Models and Processes. A Festschrift in Honor of Jon Wellner. IMS Collections: Vol. 9 (pp. 78-90). Hayward, California: Institute of Mathematical Statistics 10.1214/12-IMSCOLL907 <http://dx.doi.org/10.1214/12-IMSCOLL907>

doi:10.7892/boris.41511

info:doi:10.1214/12-IMSCOLL907

urn:issn:1939-4039

urn:isbn:978-0-940600-83-6

Idioma(s)

eng

Publicador

Institute of Mathematical Statistics

Relação

http://boris.unibe.ch/41511/

http://projecteuclid.org/euclid.imsc/1362751181

Direitos

info:eu-repo/semantics/openAccess

Fonte

Dümbgen, Lutz; Samworth, Richard J.; Schuhmacher, Dominic (1 March 2013). Stochastic search for semiparametric linear regression models. In: From Probability to Statistics and Back: High-Dimensional Models and Processes. A Festschrift in Honor of Jon Wellner. IMS Collections: Vol. 9 (pp. 78-90). Hayward, California: Institute of Mathematical Statistics 10.1214/12-IMSCOLL907 <http://dx.doi.org/10.1214/12-IMSCOLL907>

Palavras-Chave #510 Mathematics
Tipo

info:eu-repo/semantics/conferenceObject

info:eu-repo/semantics/publishedVersion

PeerReviewed