Complete Convergence for Weighted Sums of Negatively Superadditive Dependent Random Variables

WANG Qiang, ZHOU De-xia, DU Ling, XIAO Ru, WANG Xue-jun

doi:10.13371/j.cnki.chin.q.j.m.2016.04.004

Chinese Quarterly Journal of Mathematics >

2016 , Vol. 31 >Issue 4: 359 - 368

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2016.04.004

Complete Convergence for Weighted Sums of Negatively Superadditive Dependent Random Variables

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School of Mathematical Sciences,Anhui University

WANG Qiang(1993-), female, native of Nantong, Jiangsu, B.S.D., engages in statistics; WANG Xue-jun (1981-), male, native of Hefei, Anhui, an associate professor of Anhui Universiry, Ph.D., engages in probability theory and mathematical statistics.

Received date: 2014-06-30

Online published: 2020-10-30

Supported by

Supported by the Natural Science Foundation of Anhui Province(1508085J06)； Supported by the Research Teaching Model Curriculum of Anhui University(xjyjkc1407)； Supported by the Students Innovative Training Project of Anhui University(201510357118)；

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Abstract

In the paper, the complete convergence for the maximum of weighted sums of negatively superadditive dependent(NSD, in short) random variables is investigated by using the Rosenthal type inequality. Some sufficient conditions are presented to prove the complete convergence. The result obtained in the paper generalizes some corresponding ones for independent random variables and negatively associated random variables.

Key words： negatively superadditive dependent random variables; Rosenthal-type inequality; complete convergence

Cite this article

WANG Qiang, ZHOU De-xia, DU Ling, XIAO Ru, WANG Xue-jun . Complete Convergence for Weighted Sums of Negatively Superadditive Dependent Random Variables[J]. Chinese Quarterly Journal of Mathematics, 2016 , 31(4) : 359 -368 . DOI: 10.13371/j.cnki.chin.q.j.m.2016.04.004

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