A Large Deviation Rate and Central Limit Theorem for Horton Ratios

DOI10.1137/0404050zbMath0739.60023OpenAlexW2141348876MaRDI QIDQ3985542

Stanley Xi Wang, Edward C. Waymire

Publication date: 27 June 1992

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://authors.library.caltech.edu/30282/

zbMATH Keywords

large deviationcentral limit theoremrandom treebifurcation ratio

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Applications of branching processes (60J85) Combinatorial probability (60C05) Large deviations (60F10)

Related Items (6)

On rational structures and their asymptotics ⋮ Reductions of binary trees and lattice paths induced by the register function ⋮ The Horton-Strahler number of conditioned Galton-Watson trees ⋮ Central limit theorem for the Horton–Strahler bifurcation ratio of general branch order ⋮ Random self-similar trees: a mathematical theory of Horton laws ⋮ Large Deviation Theorem for Branches of the Random Binary Tree in the Horton--Strahler Analysis

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