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Pré-Publication, Document De Travail Année : 2023

Refinement of Gál-Koksma’s theorems and applications

Résumé

In this paper, we investigate the strong laws of large numbers with general normalizing sequences for arbitrary dependent sequences whose partial sums satisfy certain conditions on the p-th moment. To do it, we adapt results due to Móricz concerning moment in- equalities. We also give applications that were di cult to deal with previously. Our results extend and improve some well-known corresponding ones.
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Dates et versions

hal-04055387 , version 1 (02-04-2023)

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  • HAL Id : hal-04055387 , version 1

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Ahmad Darwiche, Dominique Schneider. Refinement of Gál-Koksma’s theorems and applications. 2023. ⟨hal-04055387⟩
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