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Testing equivalence of multinomial distributions -- a constrained bootstrap approach

Statistics Theory 2023-05-16 v1 Statistics Theory

Abstract

In this paper we develop a novel bootstrap test for the comparison of two multinomial distributions. The two distributions are called {\it equivalent} or {\it similar} if a norm of the difference between the class probabilities is smaller than a given threshold. In contrast to most of the literature our approach does not require differentiability of the norm and is in particular applicable for the maximum- and L1L^1-norm.

Keywords

Cite

@article{arxiv.2305.08609,
  title  = {Testing equivalence of multinomial distributions -- a constrained bootstrap approach},
  author = {Patrick Bastian and Holger Dette and Lukas Koletzko},
  journal= {arXiv preprint arXiv:2305.08609},
  year   = {2023}
}
R2 v1 2026-06-28T10:34:41.289Z