On a weak law of large numbers and <em>L<sup>p</sup> </em>-convergence for general random variables

Research Article

On a weak law of large numbers and Lp -convergence for general random variables

Published in: Quaestiones Mathematicae
Volume 48 , issue 4 , 2025 , pages: 545–561
DOI: 10.2989/16073606.2024.2403745
Author(s): Qi Gao Henan Normal University, China , Yu Miao Henan Normal University, China
Keywords: Primary: 60F05 , Secondary: 60F25 , Random variables , weak law of large numbers , Lp -convergence
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Abstract

In the present paper, we consider a sequence of the general random variables, which include the sequences of martingale differences, and establish the weak law of large numbers and the convergence in Lp under some weaker conditions.
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