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-  2017 

可分B-空间中一般加权和的大数定律 A Law of Large Numbers for General Weighted Sums in a Separable B-Space

Keywords: 无穷维空间,随机元的加权和,几乎处处收敛

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Abstract:

利用可分Banach空间中已有的概率不等式及对称化方法,研究了可分B-空间中加权系数具有某些较弱性质的加权和收敛问题,得到了B-值独立同分布随机元序列的这类加权和的强、弱大数定律成立的充分条件,对可分Banach空间中的Cesaro大数定律和欧拉大数定律进行了推广.同时,得到了实值独立同分布随机变量序列的这类加权和的强、弱大数定律成立的充分条件

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