On the Levy-Baxter theorems for shot-noise fields. I
We consider shot-noise fields generated by countably additive stochastically continuous homogeneous random measures with independent values on disjoint sets. We establish necessary and sufficient conditions under which the shot-noise fields possess the Levy-Baxter property on fixed and increasing pa...
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| Date: | 1998 |
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| Main Authors: | , , , , , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1998
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4798 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510976735969280 |
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| author | Buldygin, V. V. Mel'nik, V. M. Shportyuk, V. G. Булдигін, В. В. Мельник, В. М. Шпортюк, В. Г. |
| author_facet | Buldygin, V. V. Mel'nik, V. M. Shportyuk, V. G. Булдигін, В. В. Мельник, В. М. Шпортюк, В. Г. |
| author_sort | Buldygin, V. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:14:51Z |
| description | We consider shot-noise fields generated by countably additive stochastically continuous homogeneous random measures with independent values on disjoint sets. We establish necessary and sufficient conditions under which the shot-noise fields possess the Levy-Baxter property on fixed and increasing parametric sets. |
| first_indexed | 2026-03-24T03:05:33Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4798 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:05:33Z |
| publishDate | 1998 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/7f/f0573aafd2cf4af55500760fa1916b7f.pdf |
| spelling | umjimathkievua-article-47982020-03-18T21:14:51Z On the Levy-Baxter theorems for shot-noise fields. I Про теореми Леві - Бакстера для дробових полів. I Buldygin, V. V. Mel'nik, V. M. Shportyuk, V. G. Булдигін, В. В. Мельник, В. М. Шпортюк, В. Г. We consider shot-noise fields generated by countably additive stochastically continuous homogeneous random measures with independent values on disjoint sets. We establish necessary and sufficient conditions under which the shot-noise fields possess the Levy-Baxter property on fixed and increasing parametric sets. Розглянуто дробові поля, породжені злічепно адитивними стохастично неперервними однорідними випадковими мірами з незалежними значениями на множинах, які не перетинаються. Встановлено необхідні та достатні умови, при яких дробові поля мають властивість Леві - Бакстера на фіксованій та зростаючій параметричних множинах. Institute of Mathematics, NAS of Ukraine 1998-11-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4798 Ukrains’kyi Matematychnyi Zhurnal; Vol. 50 No. 11 (1998); 1463–1476 Український математичний журнал; Том 50 № 11 (1998); 1463–1476 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4798/6295 https://umj.imath.kiev.ua/index.php/umj/article/view/4798/6296 Copyright (c) 1998 Buldygin V. V.; Mel'nik V. M.; Shportyuk V. G. |
| spellingShingle | Buldygin, V. V. Mel'nik, V. M. Shportyuk, V. G. Булдигін, В. В. Мельник, В. М. Шпортюк, В. Г. On the Levy-Baxter theorems for shot-noise fields. I |
| title | On the Levy-Baxter theorems for shot-noise fields. I |
| title_alt | Про теореми Леві - Бакстера для дробових полів. I |
| title_full | On the Levy-Baxter theorems for shot-noise fields. I |
| title_fullStr | On the Levy-Baxter theorems for shot-noise fields. I |
| title_full_unstemmed | On the Levy-Baxter theorems for shot-noise fields. I |
| title_short | On the Levy-Baxter theorems for shot-noise fields. I |
| title_sort | on the levy-baxter theorems for shot-noise fields. i |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4798 |
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