Zero biasing and growth processes

Details Zero biasing and growth processes Zero biasing and growth processes

2010-10-22

arxiv.org/abs/1010.4759v2

Mathematics

Combinatorics

21 pages. Error in one term of the bound of the main theorem has been corrected, resulting in some changes to the bound for ur

Scientific paper

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.

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