English

Adaptive smoothness of function estimation in the three classical problems of the non-parametrical statistic in the three classical problems of the non-parametrical statistic

Statistics Theory 2024-09-04 v1 Statistics Theory

Abstract

We offer in this short report the so-called adaptive functional smoothness estimation in the Hilbert space norm sense in the three classical problems of non-parametrical statistic: regression, density and spectral (density) function measurement (estimation).

Keywords

Cite

@article{arxiv.2409.00491,
  title  = {Adaptive smoothness of function estimation in the three classical problems of the non-parametrical statistic in the three classical problems of the non-parametrical statistic},
  author = {M. R. Formica and E. Ostrovsky and L. Sirota},
  journal= {arXiv preprint arXiv:2409.00491},
  year   = {2024}
}