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http://hdl.handle.net/11701/5906
Полная запись метаданных
Поле DC | Значение | Язык |
---|---|---|
dc.contributor.author | Frolov, Andrei N. | - |
dc.date.accessioned | 2017-01-05T18:12:20Z | - |
dc.date.available | 2017-01-05T18:12:20Z | - |
dc.date.issued | 2016-12 | - |
dc.identifier.citation | Frolov A. N. On inequalities for conditional probabilities of unions of events and the conditional Borel—Cantelli lemma. Vestnik of Saint Petersburg University. Series 1. Mathematics. Mechanics. Astronomy, 2016, vol. 3 (61), issue 4, pp. 651–662. | en_GB |
dc.identifier.other | 10.21638/11701/spbu01.2016.415 | - |
dc.identifier.uri | http://hdl.handle.net/11701/5906 | - |
dc.description.abstract | We derive new upper and lower bounds for conditional (given σ-field A) probabilities of unions of events. These bounds are sharp. Taking of expectations from left-hand and right-hand sides of such inequalities may yield better bounds than a direct estimation of probabilities of events. An example is given. We also derive new generalizations of the conditional Borel—Cantelli lemma. Taking of expectations, one can obtain new variants of the Borel—Cantelli lemma under conditions that differ from classical ones. Refs 11. | en_GB |
dc.language.iso | ru | en_GB |
dc.publisher | St Petersburg State University | en_GB |
dc.relation.ispartofseries | Vestnik of St Petersburg University. Series 1. Mathematics. Mechanics. Astronomy;Vol. 3 (61); Issue 4 | - |
dc.subject | Bonferroni inequalities | en_GB |
dc.subject | probabilities of unions of events | en_GB |
dc.subject | conditional Borel—Cantelli lemma | en_GB |
dc.subject | Borel—Cantelli lemma | en_GB |
dc.title | On inequalities for conditional probabilities of unions of events and the conditional Borel—Cantelli lemma | en_GB |
dc.type | Article | en_GB |
Располагается в коллекциях: | Issue 4 |
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15-Frolov.pdf | 264,17 kB | Adobe PDF | Просмотреть/Открыть |
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