Statistics Seminars: Sample means in the space of phylogenetic trees
22 October 2012 14:00 in CM221
A phylogenetic tree represents the evolutionary history of a set of organisms, and as such, is one of the main data objects in evolutionary biology. The space of phylogenetic trees, introduced by Billera, Holmes and Vogtmann (2001), incorporates both the tree topology and edge lengths, which could represent mutation rate for example, in a holistic way. This space is a piecewise Euclidean metric space. Thus approaches from Euclidean statistics can be generalized in it. For example, statistical methods for non-parametric bootstrap and hypothesis testing within this space have been developed. In this talk, we look at the sample means in this space and their limiting behaviour and discuss the role played by the topological structure of the space.
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