一类部分和乘积的重对数律
On the Law of the Iterated Logarithm for Some Product of Sums
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摘要: 对独立同分布的正的均方可积的随机序列,证明了一类部分和乘积在适合的正则化因子下的某种重对数律,进一步丰富了概率极限理论Abstract: A certain law of the iterated logarithm for properly normalized product of the partial sums for a sequence of independent and identically distributed positive random variables was proved, which enriches the field of probability limit theory.