Numerical Approach to Central Limit Theorem for Bifurcation Ratio of Random Binary Tree
Data Analysis, Statistics and Probability
2013-04-10 v2
Abstract
A central limit theorem for binary tree is numerically examined. Two types of central limit theorem for higher-order branches are formulated. A topological structure of a binary tree is expressed by a binary sequence, and the Horton-Strahler indices are calculated by using the sequence. By fitting the Gaussian distribution function to our numerical data, the values of variances are determined and written in simple forms.
Cite
@article{arxiv.0904.2043,
title = {Numerical Approach to Central Limit Theorem for Bifurcation Ratio of Random Binary Tree},
author = {Ken Yamamoto and Yoshihiro Yamazaki},
journal= {arXiv preprint arXiv:0904.2043},
year = {2013}
}