References
Chen, L. H. Y.:An approximation theorem for convolutions of probability measures. Ann. Prob. 3 (1975), 992–999.
Deheuvels, P. and Pfeifer, D.:A semi-group approach to Poisson approximation. (1984). To appear.
Le Cam, L.:An approximation theorem for the Poisson binomial distribution. Pacific J. Math. 10 (1960), 1181–1197.
Pfeifer, D.:A semi-group theoretic proof of Poisson’s limit law. Semigroup Forum 26 (1983), 379–383.
Pfeifer, D.:Approximation-theoretic aspects of probabilistic representations for operator semigroups. (1984). To appear in: J. Approx. Theory.
Poisson, S.D.:Recherches sur la Probabilité des Juge ments en Matière Criminelle et en Matière Civile Précédées des Règles Générales du Calcul des Probabilités. Bachelier, Paris (1837).
Presman, E. L.:Approximation of binomial distributions by infinitely divisible ones. Theory Prob. Appl. 28 (1984), 393–402.
Serfling, R. J.:A general Poisson approximation theorem. Ann. Prob. 3 (1975), 726–731.
Serfling, R. J.:Some elementary results on Poisson approximation in a sequence of Bernoulli trials. SIAM Review 20 (1978), 567–579.
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Communicated by Jerome A. Goldstein
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Pfeifer, D. A semigroup setting for distance measures in connexion with poisson approximation. Semigroup Forum 31, 201–205 (1985). https://doi.org/10.1007/BF02572649
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DOI: https://doi.org/10.1007/BF02572649