Departamento de Métodos Estadísticos, Facultad de Ciencias, Universidad de Zaragoza, 50009 Zaragoza, Spain
Copyright © 2009 José A. Adell et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We give efficient algorithms, as well as sharp estimates, to compute
the Kolmogorov distance between the binomial and Poisson laws with
the same mean . Such a distance is eventually attained at the integer part of . The exact Kolmogorov distance for is also provided. The preceding results are obtained as a concrete application of a general method involving a differential calculus for linear operators represented by stochastic processes.