Complete convergence and complete moment convergence theorems for weighted sums of arrays of rowwise extended negatively dependent random variables
Bull. Korean Math. Soc.
Published online 2019 Mar 27
haiwu huang and qingxia zhang
Hengyang Normal University, Southwest Petroleum University
Abstract : In the present work, complete convergence and complete moment convergence properties for arrays of rowwise extended negatively dependent (END) random variables are investigated. Some sharp theorems on these strong convergence for weighted sums of END cases are established. These main results not only generalize the known corresponding ones of Cai (2008), Wang et al. (2012a) and Shen (2013), but also improve them, respectively.
Keywords : arrays of rowwise END random variables, complete convergence, complete moment convergence, weighted sums
MSC numbers : 60F15
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