Interfacing biology, category theory and mathematical statistics

Dominique Pastor; Erwan Beurier; Andrée Ehresmann; Roger Waldeck

Interfacing biology, category theory and mathematical statistics

Dominique Pastor ^{1, 2} Erwan Beurier ^{1, 2} Andrée Ehresmann ³ Roger Waldeck ^{4, 5}

1 IMT Atlantique - SC - Département Signal et Communications

2 Lab-STICC_IMTA_CID_TOMS

Lab-STICC - Laboratoire des sciences et techniques de l'information, de la communication et de la connaissance

3 UPJV - Université de Picardie Jules Verne

4 IMT Atlantique - LUSSI - Département Logique des Usages, Sciences sociales et Sciences de l'Information

5 LEGO - Laboratoire d'Economie et de Gestion de l'Ouest

Abstract : Motivated by the concept of degeneracy in biology [3], we establish a first connection between the Multiplicity Principle [4, 5] and mathematical statistics. Specifically , we exhibit two families of tests that satisfy this principle to achieve the detection of a signal in noise.

Document type :

Conference papers

Domain :

Statistics [stat] / Statistics Theory [stat.TH]

Mathematics [math] / Category Theory [math.CT]

Complete list of metadatas

https://hal-imt-atlantique.archives-ouvertes.fr/hal-02173115
Contributor : Dominique Pastor <>
Submitted on : Thursday, July 4, 2019 - 11:47:45 AM
Last modification on : Thursday, December 19, 2019 - 5:38:02 PM

Interfacing biology, category theory and mathematical statistics

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Interfacing biology, category theory and mathematical statistics

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