Numerical Approach to Central Limit Theorem for Bifurcation Ratio of Random Binary Tree

Details Numerical Approach to Central Limit Theorem for Bifurcation Ratio of Random Binary Tree Numerical Approach to Central Limit Theorem for Bifurcation Ratio of Random Binary Tree

2009-04-14

arxiv.org/abs/0904.2043v2

J. Phys. A: Math. and Theor. 42 (2009) 415002

Physics

Data Analysis, Statistics and Probability

Scientific paper

10.1088/1751-8113/42/41/415002

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.

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