Two-color exchangeability does not imply exchangeability

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

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Bibliographic Details
Main Author Tripathi, Raghavendra
Format Journal Article
LanguageEnglish
Published 02.10.2023
Subjects
Mathematics - Probability
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Summary:We provide simple examples of two-color exchangeable sequences $\xi=(\xi_1, \xi_2, \ldots, \xi_n)$ that are not exchangeable. This answers a question of Bladt and Shaiderman~\cite[Question 2.6]{bladt2019characterisation} for finite two-color exchangeable sequences.
DOI:10.48550/arxiv.2310.01750