摘要
主要研究了END随机变量序列加权和的完全收敛性.在适当的权系数条件下以及适当的矩条件下,建立了END随机变量序列加权和的完全收敛性结果.所得结果推广了独立序列和负相依序列的相应结果.
The complete convergence of weighted sums under extended negative dependence was studied. And a complete convergence result for weighted sums of extended negatively dependent random variables was obtained under mild conditions of weights and moment. The result generalizes the corresponding ones for independent random variables and negatively dependent random variables.
基金
Supported by the National Natural Science Foundation of China(11201001)
the Natural Science Foundation of Anhui Province(1208085QA03,1308085QA03,1408085QA02)
Research Teaching Model Curriculum of Anhui University(xjyjkc1407)
Graduate Academic Innovation Research Project of Anhui University(yfc100023)
the Students Innovative Training Project of Anhui University(201310357004,201410357117,201410357249)
关键词
END变量
完全收敛性
加权和
extended negative dependence
complete convergence
weighted sums
