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Volume 52, Issue 1
On Complete Moment Convergence for Randomly Weighted Sums of NSD Random Variables

Xiang Sun, Zhao-Yang Liu, Yan Shen & Ke-Chao Zhang

DOI: 10.4208/jms.v52n1.19.03

J. Math. Study, 52 (2019), pp. 30-37.

Published online: 2019-03

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  • Abstract

In this paper, we investigate the complete moment convergence and complete convergence for randomly weighted sums of negatively superadditive dependent (NSD, in short) random variables. The results obtained in the paper generalize the convergence theorem for constant weighted sums to randomly weighted sums of dependent random variables. In addition, strong law of large numbers for NSD sequence is obtained.

  • Keywords

Complete moment convergence, randomly weighted, negatively superadditive dependent random variables.

  • AMS Subject Headings

60F15

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

206119064@qq.com (Xiang Sun)

1668892437@qq.com (Zhao-Yang Liu)

shenyan@ahu.edu.cn (Yan Shen)

2055436515@qq.com (Ke-Chao Zhang)

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  • TXT
@Article{JMS-52-30, author = {Sun , XiangLiu , Zhao-YangShen , Yan and Zhang , Ke-Chao}, title = {On Complete Moment Convergence for Randomly Weighted Sums of NSD Random Variables}, journal = {Journal of Mathematical Study}, year = {2019}, volume = {52}, number = {1}, pages = {30--37}, abstract = {

In this paper, we investigate the complete moment convergence and complete convergence for randomly weighted sums of negatively superadditive dependent (NSD, in short) random variables. The results obtained in the paper generalize the convergence theorem for constant weighted sums to randomly weighted sums of dependent random variables. In addition, strong law of large numbers for NSD sequence is obtained.

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v52n1.19.03}, url = {http://global-sci.org/intro/article_detail/jms/13046.html} }
TY - JOUR T1 - On Complete Moment Convergence for Randomly Weighted Sums of NSD Random Variables AU - Sun , Xiang AU - Liu , Zhao-Yang AU - Shen , Yan AU - Zhang , Ke-Chao JO - Journal of Mathematical Study VL - 1 SP - 30 EP - 37 PY - 2019 DA - 2019/03 SN - 52 DO - http://doi.org/10.4208/jms.v52n1.19.03 UR - https://global-sci.org/intro/article_detail/jms/13046.html KW - Complete moment convergence, randomly weighted, negatively superadditive dependent random variables. AB -

In this paper, we investigate the complete moment convergence and complete convergence for randomly weighted sums of negatively superadditive dependent (NSD, in short) random variables. The results obtained in the paper generalize the convergence theorem for constant weighted sums to randomly weighted sums of dependent random variables. In addition, strong law of large numbers for NSD sequence is obtained.

Xiang Sun, Zhao-Yang Liu, Yan Shen & Ke-Chao Zhang. (2019). On Complete Moment Convergence for Randomly Weighted Sums of NSD Random Variables. Journal of Mathematical Study. 52 (1). 30-37. doi:10.4208/jms.v52n1.19.03
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