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Strong approximation for the deviation of kernel copula estimators

Methodology 2016-11-17 v1

Abstract

We prove a uniform in bandwidth law of the iterated logarithm for the maximal deviation of kernel copula estimators from their expectations. We deal especially with the \textit{local linear}, the \textit{mirror-reflection} and the \textit{transformation} estimators. These results are useful for establishing the strong uniform in bandwidth consistency of these kernel estimators.

Keywords

Cite

@article{arxiv.1611.05420,
  title  = {Strong approximation for the deviation of kernel copula estimators},
  author = {Diam Ba and Seck Cheikh Tidiane and Lo Gane Samb},
  journal= {arXiv preprint arXiv:1611.05420},
  year   = {2016}
}

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R2 v1 2026-06-22T16:54:44.919Z