{"paper":{"title":"Limiting Behaviour of Fr\\'echet Means in the Space of Phylogenetic Trees","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MG","math.ST","stat.TH"],"primary_cat":"math.PR","authors_text":"Dennis Barden, Huiling Le, Megan Owen","submitted_at":"2014-09-26T15:30:52Z","abstract_excerpt":"As demonstrated in our previous work on ${\\boldsymbol T}_{4}$, the space of phylogenetic trees with four leaves, the global, as well as the local, topological structure of the space plays an important role in the non-classical limiting behaviour of the sample Fr\\'echet means of a probability distribution on ${\\boldsymbol T}_{4}$. Nevertheless, the techniques used in that paper were specific to ${\\boldsymbol T}_{4}$ and cannot be adapted to analyse Fr\\'echet means in the space ${\\boldsymbol T}_{m}$ of phylogenetic trees with $m(\\geqslant5)$ leaves. To investigate the latter, this paper first st"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.7602","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}