Exponential Approximation by Stein's Method and Spectral Graph Theory
Abstract
General BerryEsseen 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 BernoulliLaplace Markov chain has an exponential limit. This is the first use of Stein's method to study the spectrum of a graph with a nonnormal limit.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 May 2006
 DOI:
 10.48550/arXiv.math/0605552
 arXiv:
 arXiv:math/0605552
 Bibcode:
 2006math......5552C
 Keywords:

 Mathematics  Probability;
 Mathematics  Combinatorics;
 60C05;
 60F05
 EPrint:
 26 pages