Banach空间混合列强大数定律的收敛定理
Theory about Strong Number Law of Mixed Sequence in Banach Space
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摘要: 文献1讨论了Banach空间中随机变元列Xi满足一定条件时的完全收敛性。文中将进一步讨论Banach空间中独立非同分布随机变元列的收敛速度,得到了满意的结果。Abstract: Ref.1 discussed the random variables sequence xi's complete convergent rates when its variable suits certain conditions in Banach space.In this paper,the convergent rates of the random variables sequence when its variable is independent and mixed each other in Banach space are discussed.While the variable sequence xi consists of the real random variable,the result satisfies the Theory 1 in Ref1.At last,some results are abtained.