Limiting theorems for point random fields preset on the plane
Two theorems on weak convergence of two-parameter point random fields to a point field with independent increments in Skorokhod space are given. The hypotheses of the theorems are formulated in terms of different types of compensators.
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| Date: | 1991 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
1991
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/9315 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860513495432298496 |
|---|---|
| author | Roitgarts , A. D. Ройтгарц , А. Д. |
| author_facet | Roitgarts , A. D. Ройтгарц , А. Д. |
| author_sort | Roitgarts , A. D. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2025-06-19T08:20:09Z |
| description | Two theorems on weak convergence of two-parameter point random fields to a point field with independent increments in Skorokhod space are given. The hypotheses of the theorems are formulated in terms of different types of compensators. |
| first_indexed | 2026-03-24T03:45:35Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-9315 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:45:35Z |
| publishDate | 1991 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/c4/8bd39421a77a994369aa4eaaca1b87c4 |
| spelling | umjimathkievua-article-93152025-06-19T08:20:09Z Limiting theorems for point random fields preset on the plane Предельные теоремы для точечных случайных полей, заданных па плоскости Roitgarts , A. D. Ройтгарц , А. Д. Two theorems on weak convergence of two-parameter point random fields to a point field with independent increments in Skorokhod space are given. The hypotheses of the theorems are formulated in terms of different types of compensators. Приведены две теоремы о слабой сходимости двупараметрических точечных случайных полей к точечному полю с независимыми приращениями в пространстве Скорохода. Условия теорем сформулированы в терминах различных типов компенсаторов. Наведено дві теореми про слабку збіжність двопараметричних точкових випадкових полів до точкового поля з незалежними приростами у просторі Скорохода. Умови теорем сформульовані в термінах різних типів компенсаторів. ' Institute of Mathematics, NAS of Ukraine 1991-01-18 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/9315 Ukrains’kyi Matematychnyi Zhurnal; Vol. 43 No. 1 (1991); 118-121 Український математичний журнал; Том 43 № 1 (1991); 118-121 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/9315/10490 Copyright (c) 1991 А. Д. Ройтгарц |
| spellingShingle | Roitgarts , A. D. Ройтгарц , А. Д. Limiting theorems for point random fields preset on the plane |
| title | Limiting theorems for point random fields preset on the plane |
| title_alt | Предельные теоремы для точечных случайных полей, заданных па плоскости |
| title_full | Limiting theorems for point random fields preset on the plane |
| title_fullStr | Limiting theorems for point random fields preset on the plane |
| title_full_unstemmed | Limiting theorems for point random fields preset on the plane |
| title_short | Limiting theorems for point random fields preset on the plane |
| title_sort | limiting theorems for point random fields preset on the plane |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/9315 |
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