title: Small deviation probabilities for sums of independent positive random variables
metadata.name: dc.contributor.author
metadata.value: Rozovsky, Leonid V.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2020-09-10T13:49:02Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2020-09-10T13:49:02Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2020-09
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Rozovsky L. V. Small deviation probabilities for sums of independent positive random variables. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2020, vol. 7 (65), issue 3, pp. 435–452.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2020.307
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/19394
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: We examine an asymptotic behavior at zero of distributions and densities of a sum of
  several independent positive random variables under certain assumptions on the decay rate
  of their distributions at zero. We consider the cases, when the distributions (densities) of
  summable random variables are regularly or slowly varying at zero or can decrease at zero
  with an arbitrary rate.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: This study was supported by the Russian Foundation for Basic Research, project No 19-01-00356
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: small deviations
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: sums of independent positive random variables
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: slowly varying functions
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Small deviation probabilities for sums of independent positive random variables
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 435-452.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/19394/1/435-452.pdf
resources.format: Adobe PDF
resources.size: 343,52 kB