Moment inequality, central limit theorem, and the invariance principle for linearly positive quadrant dependent random fields
UDC 519.21 We obtain the moment inequality by considering the central limit theorem for the sums of linearly positive quadrant dependent random fields when the covariance satisfies certain conditions. Applying this moment inequality, we prove the invariance principle.
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| Date: | 2025 |
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| Format: | Article |
| Language: | English |
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Institute of Mathematics, NAS of Ukraine
2025
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8385 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860513066508091392 |
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| author | Mukhamedov, Abdurakhman Mukhamedov, Abdurakhman |
| author_facet | Mukhamedov, Abdurakhman Mukhamedov, Abdurakhman |
| author_sort | Mukhamedov, Abdurakhman |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2025-11-08T09:36:26Z |
| description | UDC 519.21
We obtain the moment inequality by considering the central limit theorem for the sums of linearly positive quadrant dependent random fields when the covariance satisfies certain conditions. Applying this moment inequality, we prove the invariance principle. |
| doi_str_mv | 10.3842/umzh.v77i3.8385 |
| first_indexed | 2026-03-24T03:38:46Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-8385 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:38:46Z |
| publishDate | 2025 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
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| spelling | umjimathkievua-article-83852025-11-08T09:36:26Z Moment inequality, central limit theorem, and the invariance principle for linearly positive quadrant dependent random fields Moment inequality, central limit theorem, and the invariance principle for linearly positive quadrant dependent random fields Mukhamedov, Abdurakhman Mukhamedov, Abdurakhman moment inequality, central limit theorem, linearly positive quadrant dependent random fields, invariance principle. UDC 519.21 We obtain the moment inequality by considering the central limit theorem for the sums of linearly positive quadrant dependent random fields when the covariance satisfies certain conditions. Applying this moment inequality, we prove the invariance principle. УДК 519.21 Нерівність моментів, центральна гранична теорема та принцип інваріантності для лінійно додатних квадрантно залежних випадкових полів Oтримано моментну нерівність з урахуванням центральної граничної теореми для сум лінійно додатних квадрантно залежних випадкових полів у випадку, коли коваріація задовольняє певні умови. Застосовуючи цю моментну нерівність, ми доводимо принцип інваріантності. Institute of Mathematics, NAS of Ukraine 2025-11-07 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/8385 10.3842/umzh.v77i3.8385 Ukrains’kyi Matematychnyi Zhurnal; Vol. 77 No. 3 (2025); 234 Український математичний журнал; Том 77 № 3 (2025); 234 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/8385/10422 Copyright (c) 2025 Abdurakhman Mukhamedov |
| spellingShingle | Mukhamedov, Abdurakhman Mukhamedov, Abdurakhman Moment inequality, central limit theorem, and the invariance principle for linearly positive quadrant dependent random fields |
| title | Moment inequality, central limit theorem, and the invariance principle for linearly positive quadrant dependent random fields |
| title_alt | Moment inequality, central limit theorem, and the invariance principle for linearly positive quadrant dependent random fields |
| title_full | Moment inequality, central limit theorem, and the invariance principle for linearly positive quadrant dependent random fields |
| title_fullStr | Moment inequality, central limit theorem, and the invariance principle for linearly positive quadrant dependent random fields |
| title_full_unstemmed | Moment inequality, central limit theorem, and the invariance principle for linearly positive quadrant dependent random fields |
| title_short | Moment inequality, central limit theorem, and the invariance principle for linearly positive quadrant dependent random fields |
| title_sort | moment inequality, central limit theorem, and the invariance principle for linearly positive quadrant dependent random fields |
| topic_facet | moment inequality central limit theorem linearly positive quadrant dependent random fields invariance principle. |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8385 |
| work_keys_str_mv | AT mukhamedovabdurakhman momentinequalitycentrallimittheoremandtheinvarianceprincipleforlinearlypositivequadrantdependentrandomfields AT mukhamedovabdurakhman momentinequalitycentrallimittheoremandtheinvarianceprincipleforlinearlypositivequadrantdependentrandomfields |