63 citations · 63 across the 3 of their papers we have counts for
3 papers
math.PR2011
Projections of probability distributions: A measure-theoretic Dvoretzky theorem
Elizabeth Meckes
Many authors have studied the phenomenon of typically Gaussian marginals of high-dimensional random vectors; e.g., for a probability measure on , under mild conditions, most…
math.PR2007
Two multivariate central limit theorems
Elizabeth Meckes
In this paper, explicit error bounds are derived in the approximation of rank projections of certain -dimensional random vectors by standard -dimensional Gaussian random…
math.PR2004★ 63 cited
Exchangeable pairs and Poisson approximation
Sourav Chatterjee, Persi Diaconis, Elizabeth Meckes
This is a survey paper on Poisson approximation using Stein's method of exchangeable pairs. We illustrate using Poisson-binomial trials and many variations on three classical probl…