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http://hdl.handle.net/11701/19399
Полная запись метаданных
Поле DC | Значение | Язык |
---|---|---|
dc.contributor.author | Frolov, Andrei N. | - |
dc.date.accessioned | 2020-09-10T14:57:18Z | - |
dc.date.available | 2020-09-10T14:57:18Z | - |
dc.date.issued | 2020-09 | - |
dc.identifier.citation | Frolov А. N. On combinatorial strong law of large numbers and rank statistics. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2020, vol. 7 (65), issue 3, pp. 490–499. | en_GB |
dc.identifier.other | https://doi.org/10.21638/spbu01.2020.311 | - |
dc.identifier.uri | http://hdl.handle.net/11701/19399 | - |
dc.description.abstract | The author had earlier obtained a strong law of large numbers P for combinatorial sums i Xniπn(i) , where kXnijk is a matrix of order n from random variables with finite fourth moments and (πn(1), πn(2), . . . , πn(n)) is a random permutation having the uniform distribution on the set of all permutations of numbers 1, 2, . . . , n and being independent from random variables Xnij . The mutual independence for entries of the matrix has not been assumed. In the present paper, we derive the combinatorial SLLN under more general assumptions and discuss the behaviour of rank statistics. | en_GB |
dc.description.sponsorship | This study was supported by the Russian Foundation for Basic Research, project 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 3 | - |
dc.subject | combinatorial sums | en_GB |
dc.subject | strong law of large numbers | en_GB |
dc.subject | combinatorial strong law of large numbers | en_GB |
dc.subject | rank statistics | en_GB |
dc.subject | Spearman’s coefficient of rank correlation | en_GB |
dc.title | On combinatorial strong law of large numbers and rank statistics | en_GB |
dc.type | Article | en_GB |
Располагается в коллекциях: | Issue 3 |
Файлы этого ресурса:
Файл | Описание | Размер | Формат | |
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490-499.pdf | 313,95 kB | Adobe PDF | Просмотреть/Открыть |
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