Research Article

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

Published in: Quaestiones Mathematicae
Volume 48 , issue 4 : Entrepreneurship and Africa’s Cultural Context , 2024 , 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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