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[24] YU. V. PROKHOROV, Asymptotic behavior of the binomial distribution, Uspekhi MatematicheskikhNauk, 8 (1953), pp. 135–142. Also in Selected Translations in Mathematical Statistics and Probability,Volume 1, pp. 87–95.[25] S. T. RACHEV, Probability Metrics and the Stability of Stochastic Models, John Wiley & Sons,Chichester, 1991.[26] B. ROOS, A semigroup approach to Poisson approximation with respect to the point metric, Statisticsand Probability Letters, 24 (1995), pp. 305–314.[27] B. ROOS, Asymptotics and sharp bounds in the Poisson approximation to the Poisson-binomial distribution,Bernoulli, 5 (1999), pp. 1021–1034.[28] B. ROOS, On variational bounds in the compound Poisson approximation of the individual riskmodel, Insurance Math. Econom., 40 (2007), pp. 403–414.[29] S. Y. SHORGIN, Approximation of a generalized Binomial distribution, Theory Probab. Appl., 22(1977), pp. 846–850.[30] M. S. WATERMAN, Introduction to Computational Biology: Maps, Sequences, and Genomes, Chapmanand Hill, London, 1995.[31] M. WEBA, Bounds for the total variation distance between the binomial and the Poisson distributionin case of medium-sized success probabilities, J. Appl. Probab., 36 (1999), pp. 97–104.[32] H.-J. WITTE, A unification of some approaches to Poisson approximation, J. Appl. Probab., 27(1990), pp. 611–621.28

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