A functional limit theorem of the type of the law of large numbers for random reliefs
For a random function dependent on time and on a point of a space with measure, we find an asymptotic expression for the measure of the region in which values of the function do not exceed a given level.
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| Datum: | 1999 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Ukrainisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1999
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4638 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510792416231424 |
|---|---|
| author | Yurachkovskii, A. P. Юрачківський, А. П. |
| author_facet | Yurachkovskii, A. P. Юрачківський, А. П. |
| author_sort | Yurachkovskii, A. P. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:10:18Z |
| description | For a random function dependent on time and on a point of a space with measure, we find an asymptotic expression for the measure of the region in which values of the function do not exceed a given level. |
| first_indexed | 2026-03-24T03:02:38Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4638 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:02:38Z |
| publishDate | 1999 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/2e/f3dbcb8a000c12fd057a36254eff062e.pdf |
| spelling | umjimathkievua-article-46382020-03-18T21:10:18Z A functional limit theorem of the type of the law of large numbers for random reliefs Функціональна гранична георема типу закону великих чисел для випадкових рельєфів Yurachkovskii, A. P. Юрачківський, А. П. For a random function dependent on time and on a point of a space with measure, we find an asymptotic expression for the measure of the region in which values of the function do not exceed a given level. Для випадкової функції, залежної від часу та точки простору з мірою, знайдено асимптотичний вираз міри області, в якій значения функції не перевищують заданого рівня. Institute of Mathematics, NAS of Ukraine 1999-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4638 Ukrains’kyi Matematychnyi Zhurnal; Vol. 51 No. 4 (1999); 542–552 Український математичний журнал; Том 51 № 4 (1999); 542–552 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4638/5979 https://umj.imath.kiev.ua/index.php/umj/article/view/4638/5980 Copyright (c) 1999 Yurachkovskii A. P. |
| spellingShingle | Yurachkovskii, A. P. Юрачківський, А. П. A functional limit theorem of the type of the law of large numbers for random reliefs |
| title | A functional limit theorem of the type of the law of large numbers for random reliefs |
| title_alt | Функціональна гранична георема типу закону великих чисел для
випадкових рельєфів |
| title_full | A functional limit theorem of the type of the law of large numbers for random reliefs |
| title_fullStr | A functional limit theorem of the type of the law of large numbers for random reliefs |
| title_full_unstemmed | A functional limit theorem of the type of the law of large numbers for random reliefs |
| title_short | A functional limit theorem of the type of the law of large numbers for random reliefs |
| title_sort | functional limit theorem of the type of the law of large numbers for random reliefs |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4638 |
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