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

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

Abstract 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 an...

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Bibliographic Details
Main Authors: Huanhuan Ma, Yan Sun
Format: Article
Language:English
Published: SpringerOpen 2018-07-01
Series:Journal of Inequalities and Applications
Subjects:
Martingale difference sequence
Complete convergence
Complete moment convergence
Randomly weighted sums
Online Access:http://link.springer.com/article/10.1186/s13660-018-1770-3

Internet

http://link.springer.com/article/10.1186/s13660-018-1770-3

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