English

Weak convergence of the supremum distance for supersmooth kernel deconvolution

Statistics Theory 2018-04-17 v3 Statistics Theory

Abstract

We derive the asymptotic distribution of the supremum distance of the deconvolution kernel density estimator to its expectation for certain supersmooth deconvolution problems. It turns out that the asymptotics are essentially different from the corresponding results for ordinary smooth deconvolution.

Keywords

Cite

@article{arxiv.0802.2186,
  title  = {Weak convergence of the supremum distance for supersmooth kernel deconvolution},
  author = {Bert van Es and Shota Gugushvili},
  journal= {arXiv preprint arXiv:0802.2186},
  year   = {2018}
}

Comments

12 pages

R2 v1 2026-06-21T10:12:54.418Z