title: On estimates for probabilities of combinations of events, the Jordan formula and the Bonferroni inequalities
metadata.name: dc.contributor.author
metadata.value: Frolov, Andrei N.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2019-05-24T16:55:49Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2019-05-24T16:55:49Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2019-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Frolov A.N. On estimates for probabilities of combinations of events, the Jordan formula and the Bonferroni inequalities. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2019, vol. 6 (64), issue 2, pp. 253–264.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu01.2019.207
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/15557
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: We discuss the method which allows us to derive optimal upper and lower bounds for probabilities and conditional probabilities given a σ-ﬁeld for various combinations of events. We deﬁne the optimality as the possibility of bounds to be equalities for some sets of events. We derive new generalizations of the Jordan formula and the Bonferroni inequalities. Conditional variants of these results are discussed as well.
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 6 (64); Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: Bonferroni inequalities
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Jordan formula
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: probabilities of combinations of events
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: probabilities of several events occuring
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: On estimates for probabilities of combinations of events, the Jordan formula and the Bonferroni inequalities
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 253-264.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/15557/1/253-264.pdf
resources.format: Adobe PDF
resources.size: 334,42 kB