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A maximal inequality for dependent random variables

Published 23 Dec 2022 in math.PR | (2212.12241v1)

Abstract: For a sequence ${X_{n}, \, n \geqslant 1 }$ of random variables satisfying $\mathbb{E} \lvert X_{n} \rvert < \infty$ for all $n \geqslant 1$, a maximal inequality is established, and used to obtain strong law of large numbers for dependent random variables.

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Authors (1)

  1. João Lita da Silva 

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