Zero biasing and growth processes
Combinatorics
2011-05-17 v2 Probability
Abstract
The tools of zero biasing are adapted to yield a general result suitable for analyzing the behavior of certain growth processes. The main theorem is applied to prove central limit theorems, with explicit error terms in the L^1 metric, for certain statistics of the Jack measure on partitions and for the number of balls drawn in a Polya-Eggenberger urn process.
Keywords
Cite
@article{arxiv.1010.4759,
title = {Zero biasing and growth processes},
author = {Jason Fulman and Larry Goldstein},
journal= {arXiv preprint arXiv:1010.4759},
year = {2011}
}
Comments
21 pages. Error in one term of the bound of the main theorem has been corrected, resulting in some changes to the bound for urn process