Finite version of the $q$-analogue of de Finetti's theorem

Published 1 Jun 2025 in math.PR and math.CO | (2506.01176v1)

Abstract: Let $q \in (0,1)$. We formulate an asymptotic version of the $q$-analogue of de Finetti's theorem. Using the convex structure of the space of $q$-exchangeable probability measures, we show that the optimal rate of convergence is of order $q^n$.

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Adyan Dordzhiev

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