On the Accuracy of Approximation of a Binomial Distribution by a Poisson Law

On the Accuracy of Approximation of a Binomial Distribution by a Poisson Law

We deduce a number of new estimates for the proximity of a binomial distribution to the corresponding Poisson distribution in the uniform metric and propose a combined approach to estimate this uniform distance when, for small and large , the estimation is performed by computer calculating and the e...

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Veröffentlicht in:Siberian advances in mathematics 2022-02, Vol.32 (1), p.58-78
1. Verfasser: Nagaev, S. V.
Format: Artikel
Sprache:eng
Schlagworte:
Binomial distribution
Estimates
Mathematics
Mathematics and Statistics
Poisson distribution
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Beschreibung
Zusammenfassung:We deduce a number of new estimates for the proximity of a binomial distribution to the corresponding Poisson distribution in the uniform metric and propose a combined approach to estimate this uniform distance when, for small and large , the estimation is performed by computer calculating and the estimates obtained in the paper are used for the remaining values of and .
ISSN:1055-1344
1934-8126
DOI:10.1134/S1055134422010059