We present a method to obtain both exact values and sharp estimates for the total variation distance between binomial and Poisson distributions with the same mean λ. We give a simple efficient ...

This paper proves a converse to a theorem of L. D. Brown and Y. Rinott concerning positive dependence ordering for multivariate compound Poisson distributions. Journal Information The purpose of The ...

The Poisson distribution is widely used in artificial intelligence (AI) and machine learning. In Bayesian inference, probability distributions often help solve problems that would otherwise be ...