Asymptotically normal estimates of solutions of a system of algebraic equations. I
Statistical estimates with respect to observations over the coefficient matrix of the system of equations are found for the regularized solutions of systems of linear algebraic equations. Under certain conditions, it is proved that this estimate is asymptotically normal.
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| Datum: | 1990 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch |
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Institute of Mathematics, NAS of Ukraine
1990
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/8831 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860513317657772032 |
|---|---|
| author | Girko, V. L. Гирко, В. Л. |
| author_facet | Girko, V. L. Гирко, В. Л. |
| author_sort | Girko, V. L. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-11-14T10:10:56Z |
| description | Statistical estimates with respect to observations over the coefficient matrix of the system of equations are found for the regularized solutions of systems of linear algebraic equations. Under certain conditions, it is proved that this estimate is asymptotically normal. |
| first_indexed | 2026-03-24T03:42:46Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-8831 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:42:46Z |
| publishDate | 1990 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/cd/dcf8a13ae04ef74304676ebfa80cd2cd.pdf |
| spelling | umjimathkievua-article-88312024-11-14T10:10:56Z Asymptotically normal estimates of solutions of a system of algebraic equations. I Асимптотически нормальные оценки решений систем линейных алгебраических уравнений. I Girko, V. L. Гирко, В. Л. Statistical estimates with respect to observations over the coefficient matrix of the system of equations are found for the regularized solutions of systems of linear algebraic equations. Under certain conditions, it is proved that this estimate is asymptotically normal. Для регуляризованных решений систем линейных алгебраических уравнений найдены статистические оценки по наблюдениям над матрицей коэффициентов системы уравнений. При некоторых условиях доказано, что эта опенка асимптотически нормальна Для регуляризованих розв’язків систем лінійних алгебраїчних рівнянь знайдені статистичні оцінки по спостереженням над матрицею коефіцієнтів системи рівнянь. При деяких умовах доведено, що ці оцінки асимптотично нормальні. Institute of Mathematics, NAS of Ukraine 1990-06-19 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8831 Ukrains’kyi Matematychnyi Zhurnal; Vol. 42 No. 6 (1990); 755-762 Український математичний журнал; Том 42 № 6 (1990); 755-762 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/8831/10252 Copyright (c) 1990 V. L. Girko |
| spellingShingle | Girko, V. L. Гирко, В. Л. Asymptotically normal estimates of solutions of a system of algebraic equations. I |
| title | Asymptotically normal estimates of solutions of a system of algebraic equations. I |
| title_alt | Асимптотически нормальные оценки решений систем линейных алгебраических уравнений. I |
| title_full | Asymptotically normal estimates of solutions of a system of algebraic equations. I |
| title_fullStr | Asymptotically normal estimates of solutions of a system of algebraic equations. I |
| title_full_unstemmed | Asymptotically normal estimates of solutions of a system of algebraic equations. I |
| title_short | Asymptotically normal estimates of solutions of a system of algebraic equations. I |
| title_sort | asymptotically normal estimates of solutions of a system of algebraic equations. i |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8831 |
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