Limit theorems for Fréchet mean sets

DOI10.3150/23-bej1603arXiv2012.12859OpenAlexW4388513391MaRDI QIDQ6137708

Adam Q. Jaffe, Steven N. Evans

Publication date: 16 January 2024

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.12859

zbMATH Keywords

Wasserstein metricHausdorff metricrandom setsKuratowski convergencemedoidsKarcher meannon-Euclidean statistics

Mathematics Subject Classification ID

Multivariate analysis (62Hxx) Nonparametric inference (62Gxx) Limit theorems in probability theory (60Fxx)

Cites Work

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• Sticky central limit theorems on open books
• Intrinsic inference on the mean geodesic of planar shapes and tree discrimination by leaf growth
• Fréchet means for distributions of persistence diagrams
• Non-Euclidean statistics for covariance matrices, with applications to diffusion tensor imaging
• Statistical analysis on manifolds: a nonparametric approach for inference on shape spaces
• Large deviations techniques and applications.
• Strong law of large numbers for measures of central tendency and dispersion of random variables in compact metric spaces
• Large sample theory of intrinsic and extrinsic sample means on manifolds. I
• Statistics on the Stiefel manifold: theory and applications
• Convergence rates for the generalized Fréchet mean via the quadruple inequality
• Averages of unlabeled networks: geometric characterization and asymptotic behavior
• Convergence rates for empirical barycenters in metric spaces: curvature, convexity and extendable geodesics
• Sanov's theorem in the Wasserstein distance: a necessary and sufficient condition
• How to conjugate C\(^1\)-close group actions
• Large sample theory of intrinsic and extrinsic sample means on manifolds. II.
• Omnibus CLTs for Fréchet means and nonparametric inference on non-Euclidean spaces
• Riemannian $L^{p}$ center of mass: Existence, uniqueness, and convexity
• The Fréchet mean shape and the shape of the means
• Metric Reconstruction Via Optimal Transport
• Strong laws of large numbers for generalizations of Fréchet mean sets
• Nonparametric Inference on Manifolds
• Optimal Transport
• Introduction to nonparametric estimation

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