Motivated by the concept of degeneracy in biology (Edelman, Gally 2001), we establish a first connection between the Multiplicity Principle (Ehresmann, Vanbremeersch 2007) and mathematical statistics. Specifically, we exhibit two families of statistical tests that satisfy this principle to achieve the detection of a signal in noise.
@article{arxiv.2009.06832,
title = {Interfacing biology, category theory and mathematical statistics},
author = {Dominique Pastor and Erwan Beurier and Andrée Ehresmann and Roger Waldeck},
journal= {arXiv preprint arXiv:2009.06832},
year = {2020}
}