Limit theorems for random points in a simplex
Probability
2020-05-12 v1
Abstract
In this work the -norms of points chosen uniformly at random in a centered regular simplex in high dimensions are studied. Berry-Esseen bounds in the regime are derived and complemented by a non-central limit theorem together with moderate and large deviations in the case where . A comparison with corresponding results for -balls is carried out as well.
Cite
@article{arxiv.2005.04911,
title = {Limit theorems for random points in a simplex},
author = {Anastas Baci and Zakhar Kabluchko and Joscha Prochno and Mathias Sonnleitner and Christoph Thaele},
journal= {arXiv preprint arXiv:2005.04911},
year = {2020}
}
Comments
24 pages