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

Журнал

Siberian Advances in Mathematics
ISSN: 1055-1344 , E-ISSN: 1934-8126

Вых. Данные

Год: 2022, Том: 32, Номер: 1, Страницы: 58-78 Страниц : 21 DOI: 10.1134/S1055134422010059

Ключевые слова

arithmetic distribution function; Bernoulli random variables; complex analysis; generation function; Poisson law

Авторы

Nagaev S.V. ¹

Организации

1	Sobolev Institute of Mathematics, Novosibirsk, 630090, Russian Federation

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.

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

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

Scopus:	2-s2.0-85126549415
РИНЦ:	48192259
OpenAlex:	W4226048360

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