Limiting behaviour of Fréchet means in the space of phylogenetic trees

Limit Theorems for the Inductive Mean on Metric Trees

(2016) Bojan Basrak   JOURNAL OF APPLIED PROBABILITY

Polyhedral computational geometry for averaging metric phylogenetic trees

(2015) Ezra Miller et al.   ADVANCES IN APPLIED MATHEMATICS

An Algorithm for Constructing Principal Geodesics in Phylogenetic Treespace

(2014) Tom M. W. Nye   IEEE-ACM Transactions on Computational Biology and Bioinformatics

Computing Medians and Means in Hadamard Spaces

(2014) Miroslav Bačák   SIAM JOURNAL ON OPTIMIZATION

Sticky central limit theorems on open books

(2013) Thomas Hotz et al.   ANNALS OF APPLIED PROBABILITY

Mean shapes, projections and intrinsic limiting distributions

(2013) Ian L. Dryden et al.   JOURNAL OF STATISTICAL PLANNING AND INFERENCE

Statistics on manifolds and landmarks based image analysis: A nonparametric theory with applications

(2013) Rabi Bhattacharya et al.   JOURNAL OF STATISTICAL PLANNING AND INFERENCE

Principal components analysis in the space of phylogenetic trees

(2011) Tom M. W. Nye   ANNALS OF STATISTICS

Computing Geodesic Distances in Tree Space

(2011) Megan Owen   SIAM JOURNAL ON DISCRETE MATHEMATICS

Limit theorems for empirical Fréchet means of independent and non-identically distributed manifold-valued random variables

(2011) Wilfrid S. Kendall et al.   Brazilian Journal of Probability and Statistics

A Fast Algorithm for Computing Geodesic Distances in Tree Space

(2010) Megan Owen et al.   IEEE-ACM Transactions on Computational Biology and Bioinformatics