On the Accuracy of Approximation of a Binomial Distribution by a Poisson Law Full article
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Siberian Advances in Mathematics
ISSN: 1055-1344 , E-ISSN: 1934-8126 |
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| Output data | Year: 2022, Volume: 32, Number: 1, Pages: 58-78 Pages count : 21 DOI: 10.1134/S1055134422010059 | ||
| Tags | arithmetic distribution function; Bernoulli random variables; complex analysis; generation function; Poisson law | ||
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Abstract:
Abstract: We deduce a number of new estimates for the proximity of a binomial distribution to thecorresponding Poisson distribution in the uniform metric and propose a combined approach toestimate this uniform distance when, for small n and largep, the estimation is performed by computercalculating and the estimates obtained in the paper are used for the remaining values ofn and p. © 2022, Pleiades Publishing, Ltd.
Cite:
Nagaev S.V.
On the Accuracy of Approximation of a Binomial Distribution by a Poisson Law
Siberian Advances in Mathematics. 2022. V.32. N1. P.58-78. DOI: 10.1134/S1055134422010059 Scopus РИНЦ OpenAlex
On the Accuracy of Approximation of a Binomial Distribution by a Poisson Law
Siberian Advances in Mathematics. 2022. V.32. N1. P.58-78. DOI: 10.1134/S1055134422010059 Scopus РИНЦ OpenAlex
Original:
Nagaev S.V.
О точности приближения биномиального распределения пуассоновским законом
Математические труды. 2021. V.24. N2. P.122–149. DOI: 10.33048/mattrudy.2021.24.208 OpenAlex
О точности приближения биномиального распределения пуассоновским законом
Математические труды. 2021. V.24. N2. P.122–149. DOI: 10.33048/mattrudy.2021.24.208 OpenAlex
Identifiers:
| Scopus: | 2-s2.0-85126549415 |
| Elibrary: | 48192259 |
| OpenAlex: | W4226048360 |
Citing:
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