Most likely balls in Banach spaces: existence and non-existence
Functional Analysis
2023-09-07 v1 Probability
Statistics Theory
Statistics Theory
Abstract
We establish a general criterion for the existence of convex sets of fixed shape as, e.g., balls of a given radius, of maximal probability on Banach spaces. We also provide counterexamples showing that their existence my fail even in some common situations.
Cite
@article{arxiv.2309.02846,
title = {Most likely balls in Banach spaces: existence and non-existence},
author = {Bernd Schmidt},
journal= {arXiv preprint arXiv:2309.02846},
year = {2023}
}