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http://hdl.handle.net/11701/44175
Полная запись метаданных
Поле DC | Значение | Язык |
---|---|---|
dc.contributor.author | Frolov, Аndrei N. | - |
dc.date.accessioned | 2023-10-10T09:50:26Z | - |
dc.date.available | 2023-10-10T09:50:26Z | - |
dc.date.issued | 2023-06 | - |
dc.identifier.citation | Frolov А.N. On probabilities of large deviations of combinatorial sums of independent random variables satisfying Linnik’s condition. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 3, pp. 545–553. https://doi.org/10.21638/spbu01.2023.308 (In Russian) | en_GB |
dc.identifier.other | https://doi.org/10.21638/spbu01.2023.308 | - |
dc.identifier.uri | http://hdl.handle.net/11701/44175 | - |
dc.description.abstract | We derive new results on asymptotic behaviour for probabilities of large deviations of combinatorial sums of independent random variables satisfying Linnik’s condition. We find zones in which these probabilities are equivalent to the tail of the standard normal law. The author earlier obtained such results under Bernstein’s condition. The truncations method is applied in proofs of results. | en_GB |
dc.description.sponsorship | The research was supported by Russian Science Foundation, Project no. 23-21-00078, https://rscf.ru/project/23-21-00078/. | en_GB |
dc.language.iso | ru | en_GB |
dc.publisher | St Petersburg State University | en_GB |
dc.relation.ispartofseries | Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 10 (68); Issue 3 | - |
dc.subject | probabilities of large deviations | en_GB |
dc.subject | combinatorial central limit theorem | en_GB |
dc.subject | combinatorial sums | en_GB |
dc.title | On probabilities of large deviations of combinatorial sums of independent random variables satisfying Linnik’s condition | en_GB |
dc.type | Article | en_GB |
Располагается в коллекциях: | Issue 3 |
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Файл | Описание | Размер | Формат | |
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545-553.pdf | 287,95 kB | Adobe PDF | Просмотреть/Открыть |
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