Journal of University of Science and Technology of China ›› 2015, Vol. 45 ›› Issue (2): 101-106.DOI: 10.3969/j.issn.0253-2778.2015.02.002
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ZHENG Lulu
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Abstract: Some results on the complete convergence for sequences of negatively superadditive dependent (NSD) random variables were obtained by using the Marcinkiewicz-Zygmund type moment inequality, Kolmogorov type exponential inequality and the truncated method. The obtained results extend the corresponding conclusions for weighted sums of negatively associated (NA) random variables with identical distribution to the case of sequences of NSD random variables with nonidentical distribution.
Key words: NSD random variables, complete convergence, stochastic domination
ZHENG Lulu, WANG Qiang, WANG Xuejun. Strong convergence for weighted sums of negatively superadditive dependent random variables[J]. Journal of University of Science and Technology of China, 2015, 45(2): 101-106.
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URL: http://just-cn.ustc.edu.cn/EN/10.3969/j.issn.0253-2778.2015.02.002
http://just-cn.ustc.edu.cn/EN/Y2015/V45/I2/101