Axiomatic characterization of the χ2 dissimilarity measure

Axiomatic characterization of the χ2 dissimilarity measure

We axiomatically characterize the χ 2 dissimilarity measure. To this end, we solve a new generalization of a functional equation discussed in Aczel (Lectures on functional equations and their applications. Academic Press, 1966).

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Veröffentlicht in:Aequationes mathematicae 2022, Vol.96 (2), p.307-323
Hauptverfasser: Bouyssou, Denis, Marchant, Thierry, Pirlot, Marc
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Chi-square test
Combinatorics
Functional equations
Mathematics
Mathematics and Statistics
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Beschreibung
Zusammenfassung:We axiomatically characterize the χ 2 dissimilarity measure. To this end, we solve a new generalization of a functional equation discussed in Aczel (Lectures on functional equations and their applications. Academic Press, 1966).
ISSN:0001-9054
1420-8903
DOI:10.1007/s00010-021-00863-1