On the CLT on Low Dimensional Stratified Spaces

DOI10.1007/978-1-4939-0569-0_21zbMath1384.62164OpenAlexW301815467MaRDI QIDQ2787378

Paul san Valentin, Leif Ellingson, Harrie Hendriks, Victor Patrangenaru

Publication date: 25 February 2016

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4939-0569-0_21

zbMATH Keywords

central limit theoremstratified spaceFréchet meansintrinsic meansinrinsic means

Mathematics Subject Classification ID

Applications of statistics to environmental and related topics (62P12) Central limit and other weak theorems (60F05) Nonparametric inference (62G99)

Uses Software

• Mesquite

Cites Work

• Central limit theorems for Fréchet means in the space of phylogenetic trees
• Sticky central limit theorems on open books
• Stratified mappings - structure and triangulability
• On the topology and geometry of spaces of affine shapes
• Inference for eigenvalues and eigenvectors of Gaussian symmetric matrices
• Constant gravitational fields and redshift of light
• Geometry of the space of phylogenetic trees
• Asymptotic behavior of sample mean location for manifolds
• Intrinsic means on the circle: uniqueness, locus and asymptotics
• Object oriented data analysis: sets of trees
• Environmental Kuznets curves: a spatial econometric approach
• Large sample theory of intrinsic and extrinsic sample means on manifolds. II.
• Directions and projective shapes
• Limit Theorems for the Inductive Mean on Metric Trees
• Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu
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