Central limit theorems on compact metric spaces

DOI10.1214/20-ECP336zbMath1467.60024arXiv2001.02793OpenAlexW3047534067MaRDI QIDQ2201532

Yanyan Li

Publication date: 29 September 2020

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.02793

zbMATH Keywords

metric spacecentral limit theoremFréchet mean

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Convergence of probability measures (60B10)

Cites Work

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• The law of large numbers and the central limit theorem in Banach spaces
• A note on the central limit theorem in Banach spaces
• Averages of unlabeled networks: geometric characterization and asymptotic behavior
• The sizes of compact subsets of Hilbert space and continuity of Gaussian processes
• Omnibus CLTs for Fréchet means and nonparametric inference on non-Euclidean spaces

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