English

All Sampling Methods Produce Outliers

Computational Complexity 2022-07-28 v7

Abstract

Given a computable probability measure P over natural numbers or infinite binary sequences, there is no computable, randomized method that can produce an arbitrarily large sample such that none of its members are outliers of P.

Cite

@article{arxiv.1304.3872,
  title  = {All Sampling Methods Produce Outliers},
  author = {Samuel Epstein},
  journal= {arXiv preprint arXiv:1304.3872},
  year   = {2022}
}

Comments

20 pages, 3 figures

R2 v1 2026-06-21T23:59:15.249Z