title: On inequalities for probabilities that at least r from n events occur
metadata.name: dc.contributor.author
metadata.value: Frolov, Andrei N.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2017-09-20T13:48:09Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2017-09-20T13:48:09Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2017-09
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Frolov A.N. On inequalities for probabilities that at least r from n events occur. Vestnik SPbSU. Mathematics. Mechanics. Astronomy, 2017, vol. 4 (62), issue 3, pp. 477–488.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu01.2017.310
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/7150
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: Upper and lower bounds for probabilities that at least r from n events occur are obtained. The inequalities
  may turn to equalities. Similar bounds are derived for conditional probabilities given a  -field of events.
  Taking an expectation from both parts of such inequalities may yield better bounds of unconditional
  probabilities of events under consideration. Refs 20.
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 3
metadata.lang: -
metadata.name: dc.subject
metadata.value: Bonferroni inequalities
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: probabilities of union of events
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: probabilities that at least r events occur
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: On inequalities for probabilities that at least r from n events occur
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 10-Frolov.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/7150/1/10-Frolov.pdf
resources.format: Adobe PDF
resources.size: 296,62 kB