TY - JOUR
T1 - Complete Convergence for Weighted Sums of Negatively Superadditive Dependent Random Variables
AU - Zhou , Yu
AU - Xia , Fengxi
AU - Chen , Yan
AU - Wang , Xuejun
JO - Journal of Mathematical Study
VL - 3
SP - 287
EP - 294
PY - 2014
DA - 2014/09
SN - 47
DO - http://doi.org/10.4208/jms.v47n3.14.04
UR - https://global-sci.org/intro/article_detail/jms/9959.html
KW - Negatively superadditive dependent random variables, Rosenthal type inequality, complete convergence.
AB - <p style="text-align: justify;">Let $\{X_n,n\geq1\}$ be a sequence of negatively superadditive
dependent (NSD, in short) random variables and $\{a_{nk}, 1\leq
k\leq n, n\geq1\}$ be an array of real numbers. Under some suitable
conditions, we present some results on complete convergence for
weighted sums $\sum_{k=1}^na_{nk}X_k$ of NSD random variables by
using the Rosenthal type inequality. The results obtained in the
paper generalize some corresponding ones for independent random
variables and negatively associated random variables.</p>