☼ papers

*Teicher [1955] proved that the probability a Poisson distribution with mean k takes on a value of k or less is monotonically decreasing in k. I extend this inequality by proving that the probability a Poisson distribution with mean zk takes on a value of k or less is monotonically decreasing for z at least 1.*

Download the latest version of the paper here: A Generalization of Teicher’s Poisson Tail Inequality