Zero biasing and growth processes

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.

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

References in corpus (1)

• Gaussian fluctuations of characters of symmetric groups and of Young diagrams

Cited by in corpus (1)

• Stein's method of exchangeable pairs for absolutely continuous, univariate distributions with applications to the Polya urn model