Strong negative type in spheres

DOI10.2140/pjm.2020.307.383zbMath1464.52009arXiv1905.02863OpenAlexW3099046760MaRDI QIDQ2206211

Russell Lyons

Publication date: 22 October 2020

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.02863

zbMATH Keywords

hierarchical clusteringgoodness of fitdistance covariancehemispheresequality of distributionsexpected distancesCramér-Wold theoremmetric spaces of negative type

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Classification and discrimination; cluster analysis (statistical aspects) (62H30) Hypothesis testing in multivariate analysis (62H15) Hyperbolic and elliptic geometries (general) and generalizations (51M10) Global Riemannian geometry, including pinching (53C20) Erd?s problems and related topics of discrete geometry (52C10) Quasiconformal mappings in metric spaces (30L10)

Related Items (2)

Generalization of the energy distance by Bernstein functions ⋮ Manifold energy two-sample test

Cites Work

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• Measuring and testing dependence by correlation of distances
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• Finite metric spaces of strictly negative type
• Errata to: ``Distance covariance in metric spaces
• Distances hilbertiennes invariantes sur un espace homogene
• Hyperbolic spaces are of strictly negative type
• A calculus proof of the Cramér–Wold theorem
• Über eine Integralgleichung in der Theorie der konvexen Körper

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