It has been observed that the sample mean of certain probability distributions in Billera-Holmes-Vogtmann (BHV) phylogenetic spaces is confined to a lower-dimensional subspace for large enough sample size. This non-standard behavior has been called stickiness and poses difficulties in statistical applications when comparing samples of sticky distributions. We extend previous results on stickiness to show the equivalence of this sampling behavior to topological conditions in the special case of BHV spaces. Furthermore, we propose to alleviate statistical comparision of sticky distributions by including the directional derivatives of the Fréchet function: the degree of stickiness.
CITATION STYLE
Lammers, L., Van, D. T., Nye, T. M. W., & Huckemann, S. F. (2023). Types of Stickiness in BHV Phylogenetic Tree Spaces and Their Degree. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 14071 LNCS, pp. 357–365). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-031-38271-0_35
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