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A Quantitative Cram\'er-Wold Theorem for Zolotarev Distances

Probability 2025-06-24 v1

Abstract

An upper bound for Zolotarev distances between probability measures on multidimensional Euclidean spaces is given in terms of similar distances between one dimensional projections.

Keywords

Cite

@article{arxiv.2506.17745,
  title  = {A Quantitative Cram\'er-Wold Theorem for Zolotarev Distances},
  author = {Sergey G. Bobkov and Friedrich Götze},
  journal= {arXiv preprint arXiv:2506.17745},
  year   = {2025}
}