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math.PR2022
Information in probability: Another information-theoretic proof of a finite de Finetti theorem
Lampros Gavalakis, Ioannis Kontoyiannis
We recall some of the history of the information-theoretic approach to deriving core results in probability theory and indicate parts of the recent resurgence of interest in this a…
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…