Limiting behaviour of Fréchet means in the space of phylogenetic trees

DOI10.1007/s10463-016-0582-9zbMath1394.62153OpenAlexW2963505506MaRDI QIDQ1695758

Huiling Le, Megan Owen, Dennis Barden

Publication date: 8 February 2018

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: http://eprints.nottingham.ac.uk/38874/

zbMATH Keywords

central limit theoremlimiting distributionphylogenetic treesFréchet meanstratified manifoldlog map

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Applications of statistics to biology and medical sciences; meta analysis (62P10) Central limit and other weak theorems (60F05)

Related Items (13)

Old and new challenges in Hadamard spaces ⋮ Level sets of depth measures in abstract spaces ⋮ Exploring uniform finite sample stickiness ⋮ Types of stickiness in BHV phylogenetic tree spaces and their degree ⋮ Shortest paths and convex hulls in 2D complexes with non-positive curvature ⋮ Statistics for data with geometric structure. Abstracts from the workshop held January 21--27, 2018 ⋮ Statistical Methods Generalizing Principal Component Analysis to Non-Euclidean Spaces ⋮ Convergence rates for the generalized Fréchet mean via the quadruple inequality ⋮ A smeary central limit theorem for manifolds with application to high-dimensional spheres ⋮ Uncertainty in Phylogenetic Tree Estimates ⋮ Confidence Sets for Phylogenetic Trees ⋮ Geometrical smeariness -- a new phenomenon of Fréchet means ⋮ Wald space for phylogenetic trees

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• Computing Medians and Means in Hadamard Spaces
• Limit Theorems for the Inductive Mean on Metric Trees
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