%0 Journal Article
%T Lower bounds on Information Divergence
%A Peter Harremo£¿s
%A Christophe Vignat
%J Mathematics
%D 2011
%I arXiv
%X In this paper we establish lower bounds on information divergence from a distribution to certain important classes of distributions as Gaussian, exponential, Gamma, Poisson, geometric, and binomial. These lower bounds are tight and for several convergence theorems where a rate of convergence can be computed, this rate is determined by the lower bounds proved in this paper. General techniques for getting lower bounds in terms of moments are developed.
%U http://arxiv.org/abs/1102.2536v1