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

2025/06/01 by Adyan Dordzhiev, Dordzhiev, Adyan
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #Combinatorics (math.CO) #FOS: Mathematics #Mathematical functions and polynomials #Probability (math.PR)

paper · pdf · doi:10.48550/arxiv.2506.01176

openalex publication_date 2025/06/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let q ∈ (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 qⁿ.

Citations

• An elementary proof of de Finetti's Theorem

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