On the Strong Law of Large Numbers for Multivariate Martingales with Continuous Time
We prove the strong law of large numbers for vector martingales with arbitrary operator normalizations. From the theorem proved, we deduce several known results on the strong law of large numbers for martingales with continuous time.
Збережено в:
| Дата: | 2001 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | Російська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2001
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/4348 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510478701166592 |
|---|---|
| author | Koval, V. A. Коваль, В. А. Коваль, В. А. |
| author_facet | Koval, V. A. Коваль, В. А. Коваль, В. А. |
| author_sort | Koval, V. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:26:49Z |
| description | We prove the strong law of large numbers for vector martingales with arbitrary operator normalizations. From the theorem proved, we deduce several known results on the strong law of large numbers for martingales with continuous time. |
| first_indexed | 2026-03-24T02:57:38Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4348 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:57:38Z |
| publishDate | 2001 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/44/7df14ef176f38b78145008b0d6674944.pdf |
| spelling | umjimathkievua-article-43482020-03-18T20:26:49Z On the Strong Law of Large Numbers for Multivariate Martingales with Continuous Time Об усиленном законе,больших чисел для многомерных мартингалов с непрерывным временем Koval, V. A. Коваль, В. А. Коваль, В. А. We prove the strong law of large numbers for vector martingales with arbitrary operator normalizations. From the theorem proved, we deduce several known results on the strong law of large numbers for martingales with continuous time. Доводиться підсилений закон великих чисел для векторних мартингалів з довільними оператор-ними нормуваннями. Із доведеної теореми виводиться ряд відомих результатів про підсилений закон великих чисел для мартингалів з неперервним часом. Institute of Mathematics, NAS of Ukraine 2001-09-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4348 Ukrains’kyi Matematychnyi Zhurnal; Vol. 53 No. 9 (2001); 1287-1291 Український математичний журнал; Том 53 № 9 (2001); 1287-1291 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4348/5400 https://umj.imath.kiev.ua/index.php/umj/article/view/4348/5401 Copyright (c) 2001 Koval V. A. |
| spellingShingle | Koval, V. A. Коваль, В. А. Коваль, В. А. On the Strong Law of Large Numbers for Multivariate Martingales with Continuous Time |
| title | On the Strong Law of Large Numbers for Multivariate Martingales with Continuous Time |
| title_alt | Об усиленном законе,больших чисел для многомерных мартингалов с непрерывным временем |
| title_full | On the Strong Law of Large Numbers for Multivariate Martingales with Continuous Time |
| title_fullStr | On the Strong Law of Large Numbers for Multivariate Martingales with Continuous Time |
| title_full_unstemmed | On the Strong Law of Large Numbers for Multivariate Martingales with Continuous Time |
| title_short | On the Strong Law of Large Numbers for Multivariate Martingales with Continuous Time |
| title_sort | on the strong law of large numbers for multivariate martingales with continuous time |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4348 |
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