@Article{JMS-47-3, author = {Zhou, Yu and Xia, Fengxi and Yan, Chen and Xuejun, Wang}, title = {Complete Convergence for Weighted Sums of Negatively Superadditive Dependent Random Variables}, journal = {Journal of Mathematical Study}, year = {2014}, volume = {47}, number = {3}, pages = {287--294}, abstract = {

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.

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v47n3.14.04}, url = {https://global-sci.com/article/87853/complete-convergence-for-weighted-sums-of-negatively-superadditive-dependent-random-variables} }