Precise deviations for branches of the random binary tree in the Horton-Strahler analysis
报告摘要: In this paper, we study the precise deviations for the number of branches of a random binary tree in the context of Horton-Strahler analysis. We establish precise large deviations, precise moderate deviations, and Cram\'er-type moderate deviations for the number of branches of the random binary tree. As a consequence of the Cram\'er-type moderate deviations, a Berry-Esseen bound is de...
