Sticky central limit theorems on open books
From MaRDI portal
Publication:389063
DOI10.1214/12-AAP899zbMath1293.60006arXiv1202.4267MaRDI QIDQ389063
Publication date: 17 January 2014
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1202.4267
Probability measures on topological spaces (60B05) Central limit and other weak theorems (60F05) Probability theory on algebraic and topological structures (60B99)
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Cites Work
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- Inference for eigenvalues and eigenvectors of Gaussian symmetric matrices
- A nonparametric approach to 3D shape analysis from digital camera images. I.
- Large sample theory of intrinsic and extrinsic sample means on manifolds. I
- Geometry of the space of phylogenetic trees
- Asymptotic behavior of sample mean location for manifolds
- On the meaning of mean shape: manifold stability, locus and the two sample test
- Polyhedral computational geometry for averaging metric phylogenetic trees
- False discovery rate analysis of brain diffusion direction maps
- Large sample theory of intrinsic and extrinsic sample means on manifolds. II.
- Inference on 3D Procrustes Means: Tree Bole Growth, Rank Deficient Diffusion Tensors and Perturbation Models
- Limit Theorems for the Inductive Mean on Metric Trees
- Geometric Means in a Novel Vector Space Structure on Symmetric Positive‐Definite Matrices
