On weak laws of large numbers for maximal partial sums of pairwise independent random variables
| Autor: | Thành, Lê Vǎn |
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| Rok vydání: | 2022 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | This paper develops Rio's method [C. R. Acad. Sci. Paris S\'{e}r. I Math., 1995] to prove the weak law of large numbers for maximal partial sums of pairwise independent random variables. The method allows us to avoid using the Kolmogorov maximal inequality. As an application, a weak law of large numbers for maximal partial sums of pairwise independent random variables under a uniform integrability condition is also established. The sharpness of the result is illustrated by an example. Comment: 10 pages, To appear in Comptes Rendus Mathematique |
| Databáze: | arXiv |
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