Exploring uniform finite sample stickiness

DOI10.1007/978-3-031-38271-0_34arXiv2305.10324MaRDI QIDQ6138137

Susanne Ulmer, Do Tran Van, Stephan F. Huckemann

Publication date: 16 January 2024

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2305.10324

zbMATH Keywords

non-Euclidean spacesFréchet means

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Differential geometric aspects of statistical manifolds and information geometry (53B12)

Cites Work

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• Sticky central limit theorems on open books
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• Finite sample smeariness on spheres
• Smeariness begets finite sample smeariness
• Intrinsic means on the circle: uniqueness, locus and asymptotics
• A smeary central limit theorem for manifolds with application to high-dimensional spheres
• Sticky central limit theorems at isolated hyperbolic planar singularities
• Fourier analysis of distribution functions. A mathematical study of the Laplace-Gaussian law
• Statistical Methods Generalizing Principal Component Analysis to Non-Euclidean Spaces

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