A Complete Monotonicity Conjecture (Open)

Summary: Let $D_n$ be the relative entropy between the binomial distribution $bi(n,\lambda/n)$ and the Poisson distribution $po(\lambda)$. It is conjectured that $D_n$ is a completely monotonic function of $n$

Classification: Primary, Probability and Statistics; Secondary, Probabilistic Inequalities

Yaming Yu
Department of Statistics
University of California
Irvine, CA 92697
Email: yamingy@uci.edu

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