title: On combinatorial strong law of large numbers and rank statistics
metadata.name: dc.contributor.author
metadata.value: Frolov, Andrei N.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2020-09-10T14:57:18Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2020-09-10T14:57:18Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2020-09
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: 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.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2020.311
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/19399
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: 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.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: This study was supported by the Russian Foundation for Basic Research, project No 18-01-00393
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 7 (65); Issue 3
metadata.lang: -
metadata.name: dc.subject
metadata.value: combinatorial sums
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: strong law of large numbers
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: combinatorial strong law of large numbers
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: rank statistics
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Spearman’s coefficient of rank correlation
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: On combinatorial strong law of large numbers and rank statistics
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 490-499.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/19399/1/490-499.pdf
resources.format: Adobe PDF
resources.size: 313,95 kB