On necessary conditions of equivalence of gaussian measures corresponding to homogeneous random fields
We give necessary conditions of equivalence of probability measures corresponding to generalized homogenous Gaussian fields. For the most part, the results are also new for standard homogenous fields and even in the one-dimensional case, i.e., for stationary processes.
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| Datum: | 1994 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1994
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5698 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511924739899392 |
|---|---|
| author | Krasnitskii, S. M. Краснитский, С. М. Краснитский, С. М. |
| author_facet | Krasnitskii, S. M. Краснитский, С. М. Краснитский, С. М. |
| author_sort | Krasnitskii, S. M. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:16:03Z |
| description | We give necessary conditions of equivalence of probability measures corresponding to generalized homogenous Gaussian fields. For the most part, the results are also new for standard homogenous fields and even in the one-dimensional case, i.e., for stationary processes. |
| first_indexed | 2026-03-24T03:20:37Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5698 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:20:37Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/13/adf0a736b85c9cc72f2d59860fc35b13.pdf |
| spelling | umjimathkievua-article-56982020-03-19T09:16:03Z On necessary conditions of equivalence of gaussian measures corresponding to homogeneous random fields О необходимых условиях эквивалентности гауссовских мер, соответствующих однородным случайным полям Krasnitskii, S. M. Краснитский, С. М. Краснитский, С. М. We give necessary conditions of equivalence of probability measures corresponding to generalized homogenous Gaussian fields. For the most part, the results are also new for standard homogenous fields and even in the one-dimensional case, i.e., for stationary processes. Наведені необхідні умови еквівалентності ймовірнісних мір, що відповідають узагальненим однорідним гауссівським полям. Більшість результатів с новими і для звичайних однорідних полів, причому навіть в одновимірному випадку, тобто для стаціонарних процесів. Institute of Mathematics, NAS of Ukraine 1994-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5698 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 6 (1994); 708–719 Український математичний журнал; Том 46 № 6 (1994); 708–719 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5698/8081 https://umj.imath.kiev.ua/index.php/umj/article/view/5698/8082 Copyright (c) 1994 Krasnitskii S. M. |
| spellingShingle | Krasnitskii, S. M. Краснитский, С. М. Краснитский, С. М. On necessary conditions of equivalence of gaussian measures corresponding to homogeneous random fields |
| title | On necessary conditions of equivalence of gaussian measures corresponding to homogeneous random fields |
| title_alt | О необходимых условиях эквивалентности гауссовских мер, соответствующих однородным случайным полям |
| title_full | On necessary conditions of equivalence of gaussian measures corresponding to homogeneous random fields |
| title_fullStr | On necessary conditions of equivalence of gaussian measures corresponding to homogeneous random fields |
| title_full_unstemmed | On necessary conditions of equivalence of gaussian measures corresponding to homogeneous random fields |
| title_short | On necessary conditions of equivalence of gaussian measures corresponding to homogeneous random fields |
| title_sort | on necessary conditions of equivalence of gaussian measures corresponding to homogeneous random fields |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5698 |
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