Fazekas, István and Masasila, Nyanga Honda (2025) Quantitative strong laws of large numbers for random variables with double indices. Annales Mathematicae et Informaticae, 62. pp. 55-65. ISSN 1787-5021 (Print) 1787-6117 (Online)
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Abstract
Recently, Neri [6] studied the rate of convergence in the strong law of large numbers. For the proof, Neri combined the method of [1] and the ideas of proof mining. In this paper, we follow the method of [6] to find the rate of convergence in the strong law of large numbers for random variables with double indices. We show that the rate of convergence for a certain subsequence implies the rate of convergence for the whole sequence. Then, we apply this result to find the rate of convergence in the strong law of large numbers for pairwise independent random variables with double indices. Quasi uncorrelated random variables are also considered.
| Item Type: | Article |
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| Uncontrolled Keywords: | strong law of large numbers, double indices, rate of convergence |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| Depositing User: | Barbara Nagy |
| Date Deposited: | 02 Aug 2026 15:47 |
| Last Modified: | 02 Aug 2026 15:47 |
| URI: | https://real.mtak.hu/id/eprint/243697 |
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