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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Hlavní autor:	Pycke, Jean-Renaud
Médium:	Artigo
Jazyk:	Inglês
Vydáno:	Académie des sciences 2024-09-01
Edice:	Comptes Rendus. Mathématique
Témata:	Karhunen-Loève expansions classical orthogonal polynomials distance regular graphs directional statistics
On-line přístup:	https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.470/
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