通常证明强大数定律有两种基本的方法。
In general, there are two basic approaches to proving the strong law of large Numbers (SLLN).
在特征函数性质和连续定理的基础上，给出特征函数在强大数定律中的应用。
This paper bases on the natures of characteristic functions and continuity theorem, introduces the use of characteristic functions in strong law of large Numbers.
本文根据ARCH序列的相依性给出了ARCH模型绝对值序列的强大数定律。
In this paper we get strong law of large Numbers of the absolute value sequences from ARCH based on the dependence of random variables from ARCH.
研究了此链的泛函的极限性质，得到了一类不同于通常强大数定律的强极限定理。
Furthermore, their functional limit properties are studied and a class of strong laws of large Numbers different from usual ones are obtained.
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.
研究了在一定条件下不同分布的两两N Q D列的强大数定律，得到了新的结果。
Under certain conditions, to research the strong law of large Number for pairwise NQD series of different distributions, obtained the new results.
本文的目的是给出有限非齐次马氏链占据时间的一个强大数定律，其结果是齐次马氏链情形的推广。
The purpose of this paper is to give a strong law of large numbers for occupation time of finite non-homogeneous Markov chains, which is an extension of the one of the homogeneous Markov chains.
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。
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.
本文通过该序列的转移概率矩阵建立了一个强大数定律，并运用不同于概率论的方法给予了纯分析的证明。
The powerful figure law is set up by the transfer probability square on these article. The method different from probability is applied and it gives a pure analysis proof.
本文主要讨论了B值随机元序列的强大数定律与B值终鞅的强大数定律，它们是现有一些结果的补充与推广。
In this paper, the strong, law of large Numbers of B-valued random variable sequences and B-valued eventual martingales are investigated.
本文主要讨论了B值随机元序列的强大数定律与B值终鞅的强大数定律，它们是现有一些结果的补充与推广。
In this paper, the strong, law of large Numbers of B-valued random variable sequences and B-valued eventual martingales are investigated.
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