A diffusion process associated with Fréchet means

DOI10.1214/14-AAP1066zbMath1328.58035arXiv1510.06869OpenAlexW2142749237MaRDI QIDQ894799

Huiling Le

Publication date: 24 November 2015

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

Full work available at URL: https://arxiv.org/abs/1510.06869

zbMATH Keywords

weak convergencelimiting diffusionrescaled Fréchet means

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Diffusion processes and stochastic analysis on manifolds (58J65)

Cites Work

• Stochastic algorithms for computing means of probability measures
• Limit theorems for empirical Fréchet means of independent and non-identically distributed manifold-valued random variables
• Large sample theory of intrinsic and extrinsic sample means on manifolds. I
• Large sample theory of intrinsic and extrinsic sample means on manifolds. II.
• On the measure of the cut locus of a Fréchet mean
• Riemannian geometry and geometric analysis
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