A smeary central limit theorem for manifolds with application to high-dimensional spheres

DOI10.1214/18-AOS1781zbMath1436.60032arXiv1801.06581OpenAlexW2982355266MaRDI QIDQ2284377

Benjamin Eltzner, Stephan F. Huckemann

Publication date: 15 January 2020

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.06581

zbMATH Keywords

Fréchet meanshigh dimension low sample sizeasymptotic consistency and normalityasymptotics on manifoldslower asymptotic rate

Mathematics Subject Classification ID

Directional data; spatial statistics (62H11) Asymptotic properties of nonparametric inference (62G20) Statistics on manifolds (62R30) Central limit and other weak theorems (60F05) Geodesics in global differential geometry (53C22) Singularities of vector fields, topological aspects (58K45)

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