研究了一列分式布朗运动的起伏极限，证明了广义收敛意义下的大数定律和中心极限定理。

In this paper, we investigate the fluctuation limit of a series of fractional Brownian motions, and prove the large number law and the central limit theorem in generalized convergence.

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自1953年以来，人们对B值随机元序列大数定律、叠对数律及完全收敛性进行了研究。

Since 1953, people have studied the strong law of large numbers. the law of the iterated logarithm and complete convergence for B-valued random variables.

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利用分析方法讨论随机选择函数列的收敛性问题，得到了一些有关的强大数定律。

By using the analytic approach, the problems of the convergence about the random selection function sequence are discussed and some strong laws of large Numbers are obtained.

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