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math.PR2021
Entropy and the Discrete Central Limit Theorem
Lampros Gavalakis, Ioannis Kontoyiannis
A strengthened version of the central limit theorem for discrete random variables is established, relying only on information-theoretic tools and elementary arguments. It is shown…
cs.IT2021
An Information-Theoretic Proof of a Finite de Finetti Theorem
Lampros Gavalakis, Ioannis Kontoyiannis
A finite form of de Finetti's representation theorem is established using elementary information-theoretic tools: The distribution of the first random variables in an exchangea…