English

Two-color exchangeability does not imply exchangeability

Probability 2023-10-04 v1

Abstract

We provide simple examples of two-color exchangeable sequences ξ=(ξ1,ξ2,,ξn)\xi=(\xi_1, \xi_2, \ldots, \xi_n) that are not exchangeable. This answers a question of Bladt and Shaiderman~\cite[Question 2.6]{bladt2019characterisation} for finite two-color exchangeable sequences.

Cite

@article{arxiv.2310.01750,
  title  = {Two-color exchangeability does not imply exchangeability},
  author = {Raghavendra Tripathi},
  journal= {arXiv preprint arXiv:2310.01750},
  year   = {2023}
}

Comments

short note, 5 pages

R2 v1 2026-06-28T12:39:02.809Z