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Complete convergence and complete moment convergence for randomly weighted sums of martingale difference sequence

In this paper, we extend some known results about complete convergence and establish the complete convergence and complete moment convergence for randomly weighted sums of martingale difference sequence. Our results can generalize some conclusions related to Hsu–Robbins–Erdös strong laws and Baum–Ka...

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Bibliographic Details
Published in:J Inequal Appl
Main Authors: Ma, Huanhuan, Sun, Yan
Format: Artigo
Language:Inglês
Published: Springer International Publishing 2018
Subjects:
Online Access:https://ncbi.nlm.nih.gov/pmc/articles/PMC6061532/
https://ncbi.nlm.nih.gov/pubmed/30137901
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1186/s13660-018-1770-3
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