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On Berry-Esseen results for the compound Poisson distribution. (English) Zbl 0790.60028

Summary: We give a short derivation of (uniform and nonuniform) quantitative results on the speed of convergence in the central limit theorem for the compound Poisson distribution.

MSC:

60F05 Central limit and other weak theorems
Full Text: DOI

References:

[1] Beard, R. E.; Pentikäinen, T.; Pesonen, E., Risk Theory (1984), Chapman and Hall: Chapman and Hall New York · Zbl 0532.62081
[2] Michel, R., On the constant in the nonuniform version of the Berry-Esseen theorem, Z. Wahrscheinlichkeitstheorie verw. Geb., 55, 109-117 (1981) · Zbl 0447.60015
[3] van Beek, P., An application of Fourier methods to the problem of sharpening the Berry-Esseen inequality, Z. Wahrscheinlichkeitstheorie verw. Geb., 23, 187-196 (1972) · Zbl 0238.60020
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