B值随机变量序列的强极限定理和强大数定律
Strong Limit Theorems and Strong Laws of Large Numbers for the Sequence of B-valued Random Variables
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摘要: 利用鞅收敛定理,讨论了B值随机变量序列的强收敛性,得到了一类强极限定理和强大数定律,使某些已知结果为其特例。Abstract: In this paper, we discuss the strong convergence for the sequence of B-valued random variables. A series of limit theorems and strong laws of large numbers are obtained. As corollaries, some results known are the particular cases of the result in this paper.