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行为NA的随机变量阵列的收敛性
引用本文:王宽程.行为NA的随机变量阵列的收敛性[J].延边大学理工学报,2010(4):305-308.
作者姓名:王宽程
作者单位:闽南理工学院信息管理系,福建泉州362700
摘    要:利用NA序列的一个矩不等式,研究了行为NA的随机变量阵列,证明了1/n1p∑ni=1Xni平均收敛于0、完全收敛于0、几乎必然收敛于0、依概率收敛于0的等价性.

关 键 词:行为NA的随机变量阵列  完全收敛  依概率收敛

On Convergence for Arrays of Rowwise NA Random Variables
WANG Kuan-cheng.On Convergence for Arrays of Rowwise NA Random Variables[J].Journal of Yanbian University (Natural Science),2010(4):305-308.
Authors:WANG Kuan-cheng
Affiliation:WANG Kuan-cheng(Department of Information Management,Minnan University of Science and Technology,Quanzhou 362700,China)
Abstract:By a moment inequality of NA random sequences,the complete convergence was discussed for arrays of rowwise NA random variables.It is shown that 1/n1p∑ni=1Xni converge to 0,converge to 0 completely,converge to 0 almost surely,converge to 0 in probability are equivalent.
Keywords:arrays of rowwise NA random variables  complete convergence  convergence in probability
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