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A semigroup setting for distance measures in connexion with poisson approximation

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References

  1. Chen, L. H. Y.:An approximation theorem for convolutions of probability measures. Ann. Prob. 3 (1975), 992–999.

    MATH  Google Scholar 

  2. Deheuvels, P. and Pfeifer, D.:A semi-group approach to Poisson approximation. (1984). To appear.

  3. Le Cam, L.:An approximation theorem for the Poisson binomial distribution. Pacific J. Math. 10 (1960), 1181–1197.

    MATH  MathSciNet  Google Scholar 

  4. Pfeifer, D.:A semi-group theoretic proof of Poisson’s limit law. Semigroup Forum 26 (1983), 379–383.

    MATH  MathSciNet  Google Scholar 

  5. Pfeifer, D.:Approximation-theoretic aspects of probabilistic representations for operator semigroups. (1984). To appear in: J. Approx. Theory.

  6. 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).

    Google Scholar 

  7. Presman, E. L.:Approximation of binomial distributions by infinitely divisible ones. Theory Prob. Appl. 28 (1984), 393–402.

    Article  MATH  Google Scholar 

  8. Serfling, R. J.:A general Poisson approximation theorem. Ann. Prob. 3 (1975), 726–731.

    MATH  MathSciNet  Google Scholar 

  9. Serfling, R. J.:Some elementary results on Poisson approximation in a sequence of Bernoulli trials. SIAM Review 20 (1978), 567–579.

    Article  MATH  MathSciNet  Google Scholar 

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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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