大数律，即大数定律，是概率论中讨论随机变量序列的算术平均值向常数收敛的定律，是概率论与数理统计学的基本定律之一。大数律有弱大数律和强大数律之分。 在随机事件的大量重复出现中，往往呈现几乎必然的规律，这个规律就是大数定律。通俗地说，这个定理就是，在试验不变的条件下，重复试验多次，随机事件的频率近似于它的概率。偶然中包含着某种必然。
强大数律 SLLN
大数定律 [数] law of large numbers ; [数] law of great numbers ; Law ; LLN
M-Z型强大数律 strong law of large numbers of type M-Z
弱大数定律 weak law of large numbers ; WLLN
强大数定律 strong law of large numbers
努利大数定律 Bernoulli Law of Large Number
服从大数定律 Law of Great Numbers
泊松大数定律 Poisson'slawoflargenumber ; Poisson's law of large numbers
给出了一类任意随机变数序列的强大数律。
The strong law of large Numbers for a class of the sequence of arbitrary random variables are obtained.
涉及的概率极限定理包括强大数律，收敛速度，依分布收敛和大偏差原理。
Probability limit theorems surveyed mainly involved strong laws of large Numbers, rates of convergence, convergence in distribution and large deviation principles.
我们在文中给出了一个有用的引理，借助于该引理得到了混合序列的强大数律，所得结果改进了以前的结论。
In this paper, we give a useful lemma, then applying this lemma we get some theorems on the strong law for the mixing sequence, which improve the previous results.
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