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Register a new userEntropy and the Discrete Central Limit Theorem
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Added by
Lampros Gavalakis
Publication date
2021
fields
Informatics Engineering
and research's language is
English
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No Arabic abstract
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 that the relative entropy between the standardised sum of $n$ independent and identically distributed lattice random variables and an appropriately discretised Gaussian, vanishes as $ntoinfty$.
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