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Stochastic Search for Semiparametric Linear Regression Models

Methodology 2013-11-26 v2 Statistics Theory Statistics Theory

Abstract

This paper introduces and analyzes a stochastic search method for parameter estimation in linear regression models in the spirit of Beran and Millar (1987). 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 Duembgen, Samworth and Schuhmacher (2011) on regression models with log-concave error distributions.

Keywords

Cite

@article{arxiv.1106.3520,
  title  = {Stochastic Search for Semiparametric Linear Regression Models},
  author = {Lutz Duembgen and Dominic Schuhmacher and Richard Samworth},
  journal= {arXiv preprint arXiv:1106.3520},
  year   = {2013}
}

Comments

Technical report 75, IMSV, University of Bern

R2 v1 2026-06-21T18:24:03.277Z