Asymptotic distinguishing of reconstruction processes
Limit theorems for the logarithm of the likelihood ratio are proven. With their help the rate of decrease in the probability of errors of the second kind in the Neumann–Pierson criterion is established.
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| Date: | 1992 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
1992
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8235 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512992850870272 |
|---|---|
| author | Lynkov, Yu. N. Munir el Shakf Линьков, Ю. Н. Мунир аль Шахф |
| author_facet | Lynkov, Yu. N. Munir el Shakf Линьков, Ю. Н. Мунир аль Шахф |
| author_sort | Lynkov, Yu. N. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-03-27T09:55:23Z |
| description | Limit theorems for the logarithm of the likelihood ratio are proven. With their help the rate of decrease in the probability of errors of the second kind in the Neumann–Pierson criterion is established. |
| first_indexed | 2026-03-24T03:37:36Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-8235 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:37:36Z |
| publishDate | 1992 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/1f/1e1322715fdba6256d6cdc8c7ab9b41f.pdf |
| spelling | umjimathkievua-article-82352024-03-27T09:55:23Z Asymptotic distinguishing of reconstruction processes Асимптотическое различение процессов восстановления Lynkov, Yu. N. Munir el Shakf Линьков, Ю. Н. Мунир аль Шахф Limit theorems for the logarithm of the likelihood ratio are proven. With their help the rate of decrease in the probability of errors of the second kind in the Neumann–Pierson criterion is established. Доказаны предельные теоремы для логарифма отношения правдоподобия и с их помощью установлена скорость убывания вероятности ошибки 2–го рода критерия Неймана–Пирсона. Доведені граничні теореми для логарифму відношення правдоподібності та з їх допомогою встановлена швидкість спадання ймовірності похибки 2–го роду критерію Неймана–Пірсона. Institute of Mathematics, NAS of Ukraine 1992-10-01 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8235 Ukrains’kyi Matematychnyi Zhurnal; Vol. 44 No. 10 (1992); 1382-1388 Український математичний журнал; Том 44 № 10 (1992); 1382-1388 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/8235/9815 Copyright (c) 1992 Yu. N. Lynkov, Munir el Shakf |
| spellingShingle | Lynkov, Yu. N. Munir el Shakf Линьков, Ю. Н. Мунир аль Шахф Asymptotic distinguishing of reconstruction processes |
| title | Asymptotic distinguishing of reconstruction processes |
| title_alt | Асимптотическое различение процессов восстановления |
| title_full | Asymptotic distinguishing of reconstruction processes |
| title_fullStr | Asymptotic distinguishing of reconstruction processes |
| title_full_unstemmed | Asymptotic distinguishing of reconstruction processes |
| title_short | Asymptotic distinguishing of reconstruction processes |
| title_sort | asymptotic distinguishing of reconstruction processes |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8235 |
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