1、

The paper studied the convergence problems on partial sums of adapted stochastic sequence with submartingale convergence theorem, stopping time and conditional three series theorem.

利用下鞅收敛定理、停时和条件三级数定理研究适应随机变量序列部分和的收敛问题。

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2、

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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3、

Use stochastic simulation, create the plainness sequence of the stable stochastic road surface for the target road spectrums with programming, and use logistic test to verify.

采用随机模拟方法,通过编程产生目标路谱的平稳随机路面不平度序列,并通过数理检验进行验证。

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4、

the strong invariance principle of the partial sums of a stochastic process sequence

随机过程序列部分和的强不变原理

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