English

Reducing bias in nonparametric density estimation via bandwidth dependent kernels: $L_1$ view

Statistics Theory 2016-12-28 v1 Statistics Theory

Abstract

We define a new bandwidth-dependent kernel density estimator that improves existing convergence rates for the bias, and preserves that of the variation, when the error is measured in L1L_1. No additional assumptions are imposed to the extant literature.

Keywords

Cite

@article{arxiv.1611.10203,
  title  = {Reducing bias in nonparametric density estimation via bandwidth dependent kernels: $L_1$ view},
  author = {Kairat Mynbaev and Carlos Martins-Filho},
  journal= {arXiv preprint arXiv:1611.10203},
  year   = {2016}
}

Comments

9 pages

R2 v1 2026-06-22T17:09:29.653Z