On strong law of large numbers for non identically distributed random variables
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866908399447310336 |
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| author | Kozlov, I. V. Veretennikov, A. Yu. |
| author_facet | Kozlov, I. V. Veretennikov, A. Yu. |
| contents | A new version of a strong law of large numbers for a ``good'' pairwise independent sequence of random variables (r.v.'s) with a small part of ``bad'' dependent r.v.'s is proposed. The main goal is to relax the assumption on the existence of the expectation for each summand: the members of an ``infrequent'' part of the whole sequence may have moments of orders converging to zero. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_07508 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On strong law of large numbers for non identically distributed random variables Kozlov, I. V. Veretennikov, A. Yu. Probability 60F15 A new version of a strong law of large numbers for a ``good'' pairwise independent sequence of random variables (r.v.'s) with a small part of ``bad'' dependent r.v.'s is proposed. The main goal is to relax the assumption on the existence of the expectation for each summand: the members of an ``infrequent'' part of the whole sequence may have moments of orders converging to zero. |
| title | On strong law of large numbers for non identically distributed random variables |
| topic | Probability 60F15 |
| url | https://arxiv.org/abs/2506.07508 |