title: On asymptotic behaviour for probabilities of moderate deviations of combinatorial sums
metadata.name: dc.contributor.author
metadata.value: Frolov, Аndrei N.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2023-12-27T13:29:18Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2023-12-27T13:29:18Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2023-12
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Frolov А.N. On asymptotic behaviour for probabilities of moderate deviations of combinatorial sums. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 4, pp. 762–774. https://doi.org/10.21638/spbu01.2023.412 (In Russian)
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2023.412
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/44563
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: We investigate an asymptotic behaviour for probabilities of moderate deviations of combinatorial
  sums of independent random variables having moments of order p > 2. We find
  zones in which these probabilities are equivalent to the tail of the standard normal law. The
  width of zone is a function from the logarithm of a combinatorial variant for Lyapunov’s
  ratio. The author earlier obtained similar results under Bernstein’s and Linnik’s conditions.
  The truncations method is used in proofs of the results.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: The work was carried out with the financial support of the Russian Science Foundation (project
  23-21-00078).
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 10(68); Issue 4
metadata.lang: -
metadata.name: dc.subject
metadata.value: probabilities of large deviations
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: probabilities of moderate deviations
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: combinatorial central limit theorem
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: combinatorial sums
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: On asymptotic behaviour for probabilities of moderate deviations of combinatorial sums
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 762-774.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/44563/1/762-774.pdf
resources.format: Adobe PDF
resources.size: 319,71 kB