Exponential Approximation by Stein's Method and Spectral Graph Theory

Details Exponential Approximation by Stein's Method and Spectral Graph Theory Exponential Approximation by Stein's Method and Spectral Graph Theory

2006-05-19

arxiv.org/abs/math/0605552v2

Mathematics

Probability

26 pages; this is a major revision, with an additional co-author (A. Rollin) and sharp bounds

Scientific paper

General Berry-Esseen bounds are developed for the exponential distribution
using Stein's method. As an application, a sharp error term is obtained for
Hora's result that the spectrum of the Bernoulli-Laplace Markov chain has an
exponential limit. This is the first use of Stein's method to study the
spectrum of a graph with a non-normal limit.

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