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Полная запись метаданных
Поле DC | Значение | Язык |
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dc.contributor.author | Zaitsev, Andrei Yu. | - |
dc.contributor.author | Zinger, Abram A. | - |
dc.contributor.author | Lifshits, Mikhail A. | - |
dc.contributor.author | Nikitin, Yakov Yu. | - |
dc.contributor.author | Petrov, Valentin V. | - |
dc.date.accessioned | 2018-07-12T19:30:06Z | - |
dc.date.available | 2018-07-12T19:30:06Z | - |
dc.date.issued | 2018-06 | - |
dc.identifier.citation | Zaitsev A.Yu., Zinger A.A., Lifshits M.A., Nikitin Ya.Yu., Petrov V.V. To the history of Saint-Petersburg school of Probability and Statistics. I. Limit theorems for sums of independent random variables. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2018, vol. 5 (63), issue 2, pp. 201–232. | en_GB |
dc.identifier.other | 10.21638/11701/spbu01.2018.203 | - |
dc.identifier.uri | http://hdl.handle.net/11701/10400 | - |
dc.description.abstract | This is the first article in a series of surveys devoted to the scientific achievements of the Leningrad Saint-Petersburg school of Probability and Statistics during the period from 1947 to 2017. It is devoted to the traditional for St.Petersburg topic of limit theorems for sums of independent random variables. We discuss classical limit theorems: the law of large numbers, the central limit theorem, and the law of the iterated logarithm, as well as the circle of important related problems that emerged in the second half of the twentieth century. The latter include approximation for the distributions of sums of independent summands by infinitely divisible distributions, an estimate of the accuracy of strong Gaussian approximation for such sums, and the weak almost sure convergence empirical measures generated by a sequence of sums of independent random variables and vectors. | en_GB |
dc.description.sponsorship | Работа выполнена при частичной финансовой поддержке РФФИ (гранты 16-01-00237, 16-01-00258 и 16-01-00367), СПбГУ (грант СПбГУ — ННИО 6.65.37.2017) и при поддержке программы Президиума РАН №01 «Фундаментальная математика и ее приложения» (грант PRAS-18-01). | 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 5(63); Issue 2 | - |
dc.subject | sums of independent random variables | en_GB |
dc.subject | central limit theorem | en_GB |
dc.subject | law of large numbers | en_GB |
dc.subject | law of the iterated logarithm | en_GB |
dc.subject | infinitely divisible distributions | en_GB |
dc.subject | concentration functions | en_GB |
dc.subject | Littlewood—Offord problem | en_GB |
dc.subject | empirical measure | en_GB |
dc.subject | limit theorem almost sure | en_GB |
dc.title | To the history of Saint-Petersburg school of Probability and Statistics. I. Limit theorems for sums of independent random variables | en_GB |
dc.type | Article | en_GB |
Располагается в коллекциях: | Issue 2 |
Файлы этого ресурса:
Файл | Описание | Размер | Формат | |
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03-Zaitsev.pdf | 488,01 kB | Adobe PDF | Просмотреть/Открыть |
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