Convergence rates for estimators of geodesic distances and Frèchet expectations

DOI10.1017/jpr.2018.66zbMath1409.62068OpenAlexW2738414335MaRDI QIDQ4611264

Olivier Bodart, Catherine Aaron

Publication date: 17 January 2019

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

Full work available at URL: https://doi.org/10.1017/jpr.2018.66

zbMATH Keywords

geometric inferencegeodesic distancestatistics on manifoldsFréchet expectations

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Geometric probability and stochastic geometry (60D05) Characterization and structure theory for multivariate probability distributions; copulas (62H05)

Related Items (1)

Manifold energy two-sample test

Uses Software

• Intrinsic-Dimension

Cites Work

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• Shortest path through random points
• Intrinsic dimension identification via graph-theoretic methods
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• The longest edge of the random minimal spanning tree
• Geodesics and spanning trees for Euclidean first-passage percolation.
• Multidimensional scaling by optimizing goodness of fit to a nonmetric hypothesis
• Set estimation and nonparametric detection
• 10.1162/153244304322972667
• A Strong Law for the Largest Nearest-Neighbour Link between Random Points
• On boundary estimation

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