Nonuniform bounds in the Poisson approximation with applications to informational distances. II
Sign Up to like & getrecommendations! Published in 2019 at "Lithuanian Mathematical Journal"
DOI: 10.1007/s10986-019-09468-3
Abstract: We explore asymptotically optimal bounds for deviations of Bernoulli convolutions from the Poisson limit in terms of the Shannon relative entropy and the Pearson $\chi^2$-distance. The results are based on proper non-uniform estimates for densities.… read more here.
Keywords: bounds poisson; nonuniform bounds; applications informational; informational distances ... See more keywords
Non-Uniform Bounds in the Poisson Approximation With Applications to Informational Distances I
Sign Up to like & getrecommendations! Published in 2019 at "IEEE Transactions on Information Theory"
DOI: 10.1109/tit.2019.2913313
Abstract: We explore asymptotically optimal bounds for deviations of Bernoulli convolutions from the Poisson limit in terms of the Shannon relative entropy and the Pearson $\chi ^{2}$ -distance. The results are based on proper non-uniform estimates… read more here.
Keywords: approximation applications; poisson approximation; uniform bounds; applications informational ... See more keywords