Limit theorems for sequences of random trees
概率论
2007-05-23 v2
摘要
We consider a random tree and introduce a metric in the space of trees to define the ``mean tree'' as the tree minimizing the average distance to the random tree. When the resulting metric space is compact we have laws of large numbers and central limit theorems for sequence of independent identically distributed random trees. As application we propose tests to check if two samples of random trees have the same law.
引用
@article{arxiv.math/0406280,
title = {Limit theorems for sequences of random trees},
author = {David Balding and Pablo A. Ferrari and Ricardo Fraiman and Mariela Sued},
journal= {arXiv preprint arXiv:math/0406280},
year = {2007}
}
备注
REvised version, 15 pages. An error on the parameter-range is corrected. Now z<m^{-3/2}