Integrals of certain random functions with respect to general random measures
For random functions that are sums of random functional series, we determine an integral over a general random measure and prove limit theorems for this integral. We consider the solution of an integral equation with respect to an unknown random measure.
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| Date: | 1999 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1999
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4699 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510863267463168 |
|---|---|
| author | Radchenko, V. N. Радченко, В. Н. Радченко, В. Н. |
| author_facet | Radchenko, V. N. Радченко, В. Н. Радченко, В. Н. |
| author_sort | Radchenko, V. N. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:11:43Z |
| description | For random functions that are sums of random functional series, we determine an integral over a general random measure and prove limit theorems for this integral. We consider the solution of an integral equation with respect to an unknown random measure. |
| first_indexed | 2026-03-24T03:03:45Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4699 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:03:45Z |
| publishDate | 1999 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/6a/ea4dde9cfbeca39066a1a6aeb0c0686a.pdf |
| spelling | umjimathkievua-article-46992020-03-18T21:11:43Z Integrals of certain random functions with respect to general random measures Интегралы от некоторых случайных функций по общим случайным мерам Radchenko, V. N. Радченко, В. Н. Радченко, В. Н. For random functions that are sums of random functional series, we determine an integral over a general random measure and prove limit theorems for this integral. We consider the solution of an integral equation with respect to an unknown random measure. Для випадкових функцій, що е сумами випадкових функціональних рядів, визначається інтеграл за загальною випадковою мірою. Для нього доводяться граничні теореми. Розглядається розв'язання інтегрального рівняння відносно невідомої випадкової міри. Institute of Mathematics, NAS of Ukraine 1999-08-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4699 Ukrains’kyi Matematychnyi Zhurnal; Vol. 51 No. 8 (1999); 1087–1095 Український математичний журнал; Том 51 № 8 (1999); 1087–1095 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4699/6100 https://umj.imath.kiev.ua/index.php/umj/article/view/4699/6101 Copyright (c) 1999 Radchenko V. N. |
| spellingShingle | Radchenko, V. N. Радченко, В. Н. Радченко, В. Н. Integrals of certain random functions with respect to general random measures |
| title | Integrals of certain random functions with respect to general random measures |
| title_alt | Интегралы от некоторых случайных функций по общим случайным
мерам |
| title_full | Integrals of certain random functions with respect to general random measures |
| title_fullStr | Integrals of certain random functions with respect to general random measures |
| title_full_unstemmed | Integrals of certain random functions with respect to general random measures |
| title_short | Integrals of certain random functions with respect to general random measures |
| title_sort | integrals of certain random functions with respect to general random measures |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4699 |
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