Accuracy of approximation for discrete distributions (Q1658020)

Summary: The paper is a contribution to the problem of estimating the deviation of two discrete probability distributions in terms of the supremum distance between their generating functions over the interval \([0,1]\). Deviation can be measured by the difference of the \(k\)th terms or by total variation distance. Our new bounds have better order of magnitude than those proved previously, and they are even sharp in certain cases.