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Non-parametric Archimedean generator estimation with implications for multiple testing

Methodology 2019-03-28 v1

Abstract

In multiple testing, the family-wise error rate can be bounded under some conditions by the copula of the test statistics. Assuming that this copula is Archimedean, we consider two non-parametric Archimedean generator estimators. More specifically, we use the non-parametric estimator from Genest et al. (2011) and a slight modification thereof. In simulations, we compare the resulting multiple tests with the Bonferroni test and the multiple test derived from the true generator as baselines.

Cite

@article{arxiv.1903.11371,
  title  = {Non-parametric Archimedean generator estimation with implications for multiple testing},
  author = {André Neumann and Thorsten Dickhaus},
  journal= {arXiv preprint arXiv:1903.11371},
  year   = {2019}
}
R2 v1 2026-06-23T08:20:40.549Z