English

Optimal model selection in density estimation

Statistics Theory 2015-03-13 v2 Statistics Theory

Abstract

We build penalized least-squares estimators using the slope heuristic and resampling penalties. We prove oracle inequalities for the selected estimator with leading constant asymptotically equal to 1. We compare the practical performances of these methods in a short simulation study.

Keywords

Cite

@article{arxiv.0910.1654,
  title  = {Optimal model selection in density estimation},
  author = {Matthieu Lerasle},
  journal= {arXiv preprint arXiv:0910.1654},
  year   = {2015}
}

Comments

(minor revision)

R2 v1 2026-06-21T13:56:07.365Z