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A semigroup approach to poisson approximation with respect to the point metric

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  • Roos, Bero

Abstract

Let Sn = X1 + ... + Xn, where X1, ..., Xn are independent Bernoulli random variables. In this paper we present some new results of approximation of the distribution of Sn by a Poisson distribution with respect to the point metric. For this purpose we use the semigroup approach originally developed in Deheuvels and Pfeifer (1986a).

Suggested Citation

  • Roos, Bero, 1995. "A semigroup approach to poisson approximation with respect to the point metric," Statistics & Probability Letters, Elsevier, vol. 24(4), pages 305-314, September.
    • Handle: RePEc:eee:stapro:v:24:y:1995:i:4:p:305-314
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    References listed on IDEAS

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    1. P. Deheuvels & D. Pfeifer, 1988. "On a relationship between Uspensky's theorem and poisson approximations," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 40(4), pages 671-681, December.
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    Cited by:

    1. Roos, Bero, 2001. "Sharp constants in the Poisson approximation," Statistics & Probability Letters, Elsevier, vol. 52(2), pages 155-168, April.

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