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Testing equivalence of multinomial distributions -- a constrained bootstrap approach

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arxiv 2305.08609 v1 pith:TSM2V4IS submitted 2023-05-15 math.ST stat.TH

Patrick Bastian , Holger Dette , Lukas Koletzko This is my paper · ORCID
classification math.STstat.TH
keywords distributionsnormapproachbootstrapmultinomialapplicablecalledclass
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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 $L^1$-norm.

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