Testing equivalence of multinomial distributions – a constrained bootstrap approach

05/15/2023

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by   Patrick Bastian, et al.

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In this paper we develop a novel bootstrap test for the comparison of two multinomial distributions. The two distributions are called equivalent or 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.