%0 Journal Article
%T The Kearns--Saul inequality for Bernoulli and Poisson-binomial distributions
%A Eckhard Schlemm
%J Mathematics
%D 2014
%I arXiv
%R 10.1007/s10959-014-0564-x
%X We give a direct rigorous proof of the Kearns--Saul inequality which bounds the Laplace transform of a generalised Bernoulli random variable. We extend the arguments to generalised Poisson-binomial distributions and characterise the set of parameters such that an analogous inequality holds for the sum of two generalised Bernoulli random variables.
%U http://arxiv.org/abs/1405.4496v1