An estimate of the remainder term in the central limit theorem for $r$-independent random variables
We suggest a method for the investigation of $r$-independent random variables by using multiplicative systems. An estimate of the remainder term in the central limit theorem for $r$-independent random variables is obtained.
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| Date: | 1993 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1993
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5861 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512083636912128 |
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| author | Sharakhmetov, Sh. Шарахметов, Ш. Шарахметов, Ш. |
| author_facet | Sharakhmetov, Sh. Шарахметов, Ш. Шарахметов, Ш. |
| author_sort | Sharakhmetov, Sh. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:19:18Z |
| description | We suggest a method for the investigation of $r$-independent random variables by using multiplicative systems. An estimate of the remainder term in the central limit theorem for $r$-independent random variables is obtained. |
| first_indexed | 2026-03-24T03:23:09Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5861 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:23:09Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/1f/dfe029eebeb46ea8259de5fd72c4121f.pdf |
| spelling | umjimathkievua-article-58612020-03-19T09:19:18Z An estimate of the remainder term in the central limit theorem for $r$-independent random variables Оценка остаточного члена в центральной предельной теореме для $r$-независимых случайных величин Sharakhmetov, Sh. Шарахметов, Ш. Шарахметов, Ш. We suggest a method for the investigation of $r$-independent random variables by using multiplicative systems. An estimate of the remainder term in the central limit theorem for $r$-independent random variables is obtained. Запропоновано метод дослідження $r$-незалежних випадкових величин за допомогою мульти-плікативних систем. Одержана оцінка залишкового члена в центральній граничній теоремі для $r$ -незалежних випадкових величин. Institute of Mathematics, NAS of Ukraine 1993-05-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5861 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 5 (1993); 725–727 Український математичний журнал; Том 45 № 5 (1993); 725–727 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5861/8405 https://umj.imath.kiev.ua/index.php/umj/article/view/5861/8406 Copyright (c) 1993 Sharakhmetov Sh. |
| spellingShingle | Sharakhmetov, Sh. Шарахметов, Ш. Шарахметов, Ш. An estimate of the remainder term in the central limit theorem for $r$-independent random variables |
| title | An estimate of the remainder term in the central limit theorem for $r$-independent random variables |
| title_alt | Оценка остаточного члена в центральной предельной теореме для $r$-независимых случайных величин |
| title_full | An estimate of the remainder term in the central limit theorem for $r$-independent random variables |
| title_fullStr | An estimate of the remainder term in the central limit theorem for $r$-independent random variables |
| title_full_unstemmed | An estimate of the remainder term in the central limit theorem for $r$-independent random variables |
| title_short | An estimate of the remainder term in the central limit theorem for $r$-independent random variables |
| title_sort | estimate of the remainder term in the central limit theorem for $r$-independent random variables |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5861 |
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