English

Optimal kernel selection for density estimation

Statistics Theory 2015-11-09 v1 Statistics Theory

Abstract

We provide new general kernel selection rules thanks to penalized least-squares criteria. We derive optimal oracle inequalities using adequate concentration tools. We also investigate the problem of minimal penalty as described in [BM07].

Keywords

Cite

@article{arxiv.1511.02112,
  title  = {Optimal kernel selection for density estimation},
  author = {M Lerasle and N Magalhães and P Reynaud-Bouret},
  journal= {arXiv preprint arXiv:1511.02112},
  year   = {2015}
}
R2 v1 2026-06-22T11:39:05.238Z