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http://hdl.handle.net/11701/21919
Полная запись метаданных
Поле DC | Значение | Язык |
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dc.contributor.author | Frolov, Andrei N. | - |
dc.date.accessioned | 2020-12-21T19:38:16Z | - |
dc.date.available | 2020-12-21T19:38:16Z | - |
dc.date.issued | 2020-12 | - |
dc.identifier.citation | Frolov А. N. On bounds for convergence rates in combinatorial strong limit theorems and its applications. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2020, vol. 7 (65), issue 4, pp. 688–698. | en_GB |
dc.identifier.other | https://doi.org/10.21638/spbu01.2020.410 | - |
dc.identifier.uri | http://hdl.handle.net/11701/21919 | - |
dc.description.abstract | We find necessary and sufficient conditions for convergences of series of weighted probabilities of large deviations for combinatorial sums i Xniπn(i), where Xnij is a matrix of order n of independent random variables and (πn(1), πn(2),...,πn(n)) is a random permutation with the uniform distribution on the set of permutations of numbers 1, 2,...,n, independent with Xnij . We obtain combinatorial variants of results on convergence rates in the strong law of large numbers and the law of the iterated logarithm under conditions closed to optimal ones. We discuss applications to rank statistics. | en_GB |
dc.description.sponsorship | This work is supported by Russian Foundation for Basic Research (grant no. 18-01-00393). | 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 7 (65); Issue 4 | - |
dc.subject | combinatorial sums | en_GB |
dc.subject | convergence rate | en_GB |
dc.subject | law of the iterated logarithm | en_GB |
dc.subject | strong law of large numbers | en_GB |
dc.subject | Baum — Katz bounds | en_GB |
dc.subject | combinatorial strong law of large numbers | en_GB |
dc.subject | combinatorial law of the iterated logarithm | en_GB |
dc.subject | rank statistics | en_GB |
dc.subject | Spearman’s coefficient of rank correlation | en_GB |
dc.title | On bounds for convergence rates in combinatorial strong limit theorems and its applications | en_GB |
dc.type | Article | en_GB |
Располагается в коллекциях: | Issue 4 |
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Файл | Описание | Размер | Формат | |
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688-698.pdf | 317,14 kB | Adobe PDF | Просмотреть/Открыть |
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