Here, general limiting behaviours are discussed when stochastic sequence has no convergence, some classical results are also improved.

本文讨论了随机序列不具有收敛性时的一般极限行为，一些经典的结果被改进。

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This paper proved that a frequency stochastic sequence obtained from a stationarily correlated time series by using discrete Fourier transform is orthogonal.

本文证明了时间域内的平稳相关序列经离散傅里叶变换之后，听得到的是频域内的正交随机序列。

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As corollaries, the classical strong laws of large number for stochastic sequence and the strong laws of large number for arbitrary stochastic sequence are obtained.

作为推论，得到随机变量序列已有的经典强大数定律以及对任意随机变量序列普遍成立的强大数定律。

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