title: On the law of large numbers for stationary in the narrow sense sequences
metadata.name: dc.contributor.author
metadata.value: Egorov, Vladimir A.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2017-07-05T08:58:27Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2017-07-05T08:58:27Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2017-03
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Egorov V.A. On the law of large numbers for stationary in the narrow sense sequences. Vestnik SPbSU. Mathematics. Mechanics. Astronomy, 2017, vol. 4 (62), issue 1, pp. 17–21.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu01.2017.103
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/6678
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In his recent work published in Vestnik SPbSU, Ser. 1, V. V. Petrov found new sufficient conditions for
  the strong law of large numbers for the stationary in the broad sense sequences of random variables.
  These conditions are expressed in the terms of the second moments. In my work with the aid of the
  ergodic theorem analogous problems are solved for the sequences of stationary in the narrow sense random
  variables. In the absence the second moments for the formulation of conditions are used the second
  moments of the truncated random variables. At the end of the article is given an example to the stationary
  sequence of random variables, which is not ergodic, but for which is valid the strong law of large numbers.
  Refs 3.
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 4 (62); Issue 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: law of large numbers
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: the stationary in the narrow sense sequence of random variables
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: the ergodic theorem
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: truncated random variable
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: dispersion
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: conditional mathematical expectation
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: On the law of large numbers for stationary in the narrow sense sequences
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 03-Egorov.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/6678/1/03-Egorov.pdf
resources.format: Adobe PDF
resources.size: 217,96 kB