On the application of strong approximation to weak convergence of products of sums for dependent random variables
We present the application of the strong approximation theorems to the study of weak convergence of products of sums of positive random variables. We focus our attention on sequences of dependent random variables such as associated and mixing sequences. Ми представляємо застосування теорем про сил...
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| Published in: | Condensed Matter Physics |
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| Date: | 2008 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут фізики конденсованих систем НАН України
2008
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/119594 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On the application of strong approximation to weak convergence of products of sums for dependent random variables / P. Matuła, I. Stępień // Condensed Matter Physics. — 2008. — Т. 11, № 4(56). — С. 749-754. — Бібліогр.: 10 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | We present the application of the strong approximation theorems to the study of weak convergence of products
of sums of positive random variables. We focus our attention on sequences of dependent random variables
such as associated and mixing sequences.
Ми представляємо застосування теорем про сильну апроксимацiю в дослiдженнi слабкої збiжностi добуткiв сум додатнiх випадкових величин. Ми зосереджуємо нашу увагу на послiдовностях залежних випадкових величин, зокрема на асоцiйованих послiдовностях i послiдовностях з перемiшуванням.
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| ISSN: | 1607-324X |