New Karhunen-Loève expansions based on Hahn polynomials with application to a Sobolev test for uniformity on Johnson graphs

We give a new family of Karhunen-Loève expansions involving Hahn polynomials. This enables us to introduce discrete analogues of Watson statistics, and a test for uniformity on Johnson’s graphs. We use the fact that the zonal spherical functions on these graphs are Hahn polynomials. Our test is cons...

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Bibliografiske detaljer

Hovedforfatter:	Pycke, Jean-Renaud
Format:	Artigo
Sprog:	Inglês
Udgivet:	Académie des sciences 2024-09-01
Serier:	Comptes Rendus. Mathématique
Fag:	Karhunen-Loève expansions classical orthogonal polynomials distance regular graphs directional statistics
Online adgang:	https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.470/
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