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http://hdl.handle.net/11701/6678
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Поле DC | Значение | Язык |
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dc.contributor.author | Egorov, Vladimir A. | - |
dc.date.accessioned | 2017-07-05T08:58:27Z | - |
dc.date.available | 2017-07-05T08:58:27Z | - |
dc.date.issued | 2017-03 | - |
dc.identifier.citation | 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. | en_GB |
dc.identifier.other | 10.21638/11701/spbu01.2017.103 | - |
dc.identifier.uri | http://hdl.handle.net/11701/6678 | - |
dc.description.abstract | 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. | en_GB |
dc.language.iso | ru | en_GB |
dc.publisher | St Petersburg State University | en_GB |
dc.relation.ispartofseries | Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 4 (62); Issue 1 | - |
dc.subject | law of large numbers | en_GB |
dc.subject | the stationary in the narrow sense sequence of random variables | en_GB |
dc.subject | the ergodic theorem | en_GB |
dc.subject | truncated random variable | en_GB |
dc.subject | dispersion | en_GB |
dc.subject | conditional mathematical expectation | en_GB |
dc.title | On the law of large numbers for stationary in the narrow sense sequences | en_GB |
dc.type | Article | en_GB |
Располагается в коллекциях: | Issue 1 |
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03-Egorov.pdf | 217,96 kB | Adobe PDF | Просмотреть/Открыть |
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