Rate of convergence to Poisson law in terms of information divergence

Authors:
P. Harremoes;P. S. Ruzankin
Affiliations:
Dept. of Math., Copenhagen Univ., Denmark;-
Venue:
IEEE Transactions on Information Theory
Year:
2006

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Abstract

The precise bounds on the information divergence from a binomial distribution to the accompanying Poisson law are obtained. As a corollary, an upper bound for the total variation distance between the distributions is established, which in a large range of change of the parameters of the distributions is better than those already known.