%0 Journal Article %1 gavalakis2021entropy %A Gavalakis, Lampros %A Kontoyiannis, Ioannis %D 2021 %K entropy information readings stats theory %T Entropy and the Discrete Central Limit Theorem %U http://arxiv.org/abs/2106.00514 %X 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 $n\toınfty$.

@article{gavalakis2021entropy, 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 $n\to\infty$.}, added-at = {2021-06-08T18:14:54.000+0200}, author = {Gavalakis, Lampros and Kontoyiannis, Ioannis}, biburl = {https://www.bibsonomy.org/bibtex/28da04cd3817effd9710bd1990edc1b88/kirk86}, description = {[2106.00514] Entropy and the Discrete Central Limit Theorem}, interhash = {61fe379a79d16ff8eb37bf5b34cf089b}, intrahash = {8da04cd3817effd9710bd1990edc1b88}, keywords = {entropy information readings stats theory}, note = {cite arxiv:2106.00514Comment: 15 pages}, timestamp = {2021-06-08T18:14:54.000+0200}, title = {Entropy and the Discrete Central Limit Theorem}, url = {http://arxiv.org/abs/2106.00514}, year = 2021 }