Using Mellin analysis of a limit exchangeable partition, the authors obtain full asymptotic expansions, the variance constant, the moment generating function, a CLT, and large deviation rates for the leaf height of the critical beta-splitting tree.
Probability distributions on cladograms
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
background 1
citation-polarity summary
fields
math.PR 1years
2024 1verdicts
CONDITIONAL 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
The Critical Beta-splitting Random Tree IV: Mellin analysis of Leaf Height
Using Mellin analysis of a limit exchangeable partition, the authors obtain full asymptotic expansions, the variance constant, the moment generating function, a CLT, and large deviation rates for the leaf height of the critical beta-splitting tree.