title: On probabilities of large deviations of combinatorial sums of independent random variables satisfying Linnik’s condition
metadata.name: dc.contributor.author
metadata.value: Frolov, Аndrei N.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2023-10-10T09:50:26Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2023-10-10T09:50:26Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2023-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Frolov А.N. On probabilities of large deviations of combinatorial sums of independent random variables satisfying Linnik’s condition. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 3, pp. 545–553. https://doi.org/10.21638/spbu01.2023.308 (In Russian)
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2023.308
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/44175
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: We derive new results on asymptotic behaviour for probabilities of large deviations of
  combinatorial sums of independent random variables satisfying Linnik’s condition. We find
  zones in which these probabilities are equivalent to the tail of the standard normal law. The
  author earlier obtained such results under Bernstein’s condition. The truncations method
  is applied in proofs of results.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: The research was supported by Russian Science Foundation, Project no. 23-21-00078,
  https://rscf.ru/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 3
metadata.lang: -
metadata.name: dc.subject
metadata.value: probabilities of large 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 probabilities of large deviations of combinatorial sums of independent random variables satisfying Linnik’s condition
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 545-553.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/44175/1/545-553.pdf
resources.format: Adobe PDF
resources.size: 287,95 kB