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 - <p style="text-align: justify;">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.</p>