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A Topological Proof of Sklar's Theorem in Arbitrary Dimensions

Probability 2021-01-22 v1 Statistics Theory Statistics Theory

Abstract

We prove Sklar's theorem in infinite dimensions via a topological argument and the notion of inverse systems.

Keywords

Cite

@article{arxiv.2101.08598,
  title  = {A Topological Proof of Sklar's Theorem in Arbitrary Dimensions},
  author = {Fred Espen Benth and Giulia Di Nunno and Dennis Schroers},
  journal= {arXiv preprint arXiv:2101.08598},
  year   = {2021}
}

Comments

6 pages