Year: 2024
Author: Mengru Chen, Weicai Peng, Zhongzhi Wang
Journal of Mathematical Study, Vol. 57 (2024), Iss. 4 : pp. 446–459
Abstract
In this paper, we first give the concept of B-statistical uniform integrability with respect to Cesàro matrix (B-CUI), which is weaker than Cesàro uniform integrability. Then we establish some B-statistical convergence theorems for random sequence under the condition of B-CUI, which generalizes the outcomes of some known results. Finally, for some special kinds of triangular array or pairwise independent sequences of random variables, similar results are also derived without conditions of B-CUI.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v57n4.24.03
Journal of Mathematical Study, Vol. 57 (2024), Iss. 4 : pp. 446–459
Published online: 2024-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: B-statistical uniform integral Cesàro matrix martingale difference $\mathfrak{L}_p$ convergence.