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arXiv · 2506.01176

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

Adyan Dordzhiev
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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. 2025-06-01. Finite version of the $q$-analogue of de Finetti's theorem. https://arxiv.org/abs/2506.01176

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