title: On the strong law of large numbers for linear combinations of concomitants
metadata.name: dc.contributor.author
metadata.value: Dudkina, Olga I.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Gribkova, Nadezhda V.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2020-09-10T13:35:31Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2020-09-10T13:35:31Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2020-09
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Dudkina O. I., Gribkova N. V. On the strong law of large numbers for linear combinations of concomitants. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2020, vol. 7 (65), issue 3, pp. 418–424.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2020.305
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/19392
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The article proves a theorem on the strong law of large numbers for linear functions of concomitants (induced order statistics) for sequences of independent identically distributed
  two-dimensional random vectors. The result complements previous work by Yang (1981),
  Gribkova and Zitikis (2017, 2019). The proof is based on the conditional independence
  property of concomitants Bhattacharya (1974), the strong law of large numbers for functions of order statistics by van Zwet (1980) is used, classical inequalities apply, including
  Rosenthal’s (1970).
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: concomitants
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: induced order statistics
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: linear combinations
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: strong law of large number
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: On the strong law of large numbers for linear combinations of concomitants
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 418-424.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/19392/1/418-424.pdf
resources.format: Adobe PDF
resources.size: 287,97 kB