强大数律

众所周知，Kolmogorov型不等式是证明强大数律非常有用的工具。

As we all know , Kolmogorov type inequality is a useful tool for prove the strong law of large numbers .

给出了NA随机变量序列的若干强大数律和完全收敛性，特别将独立随机变量序列的Wittmann强大数律推广到NA列。

In this paper , we give some strong law of large numbers and complete convergence for sequence of NA random variables , in particular , the Wittmann 's strong law of large numbers for independent random variables is generalized to the case of NA random variables .

NA随机变量的指数不等式和一个强大数律

Exponential inequalities of NA sequence and a strong law of large number

本文将证明类似的强大数律对于NQD随机变量也成立，在证明过程中我们利用了一个比较有效的方法使得证明过程较独立情形有所简化。

We use a more effective method to prove them , so that the proof is somewhat simplified .

φ-mixing序列强大数律的一个结果

A Result On Strong Law of Large Number for ■ - mixing Sequences

研究α－混合序列加权和的强大数律，并将这些结果应用于Priestley，M.B.和Chao，M.T.（1972）提出的非参数回归函数加权核估计，获得较理想结论。

We study the strong law of large number for the sum of α mixing random variable sequences , apply these results in the weighted kernel estimator of nonparametric regression function proposed by Priestley , M.B. and Chao , M.T. ( 1972 ), and obtain better results .

一条强大数律的注记

A Remark of One Strong law of large Numbers

ρ混合序列的Marcinkiewicz强大数律与完全收敛性

Moment Inequality and Complete Convergence of ρ Mixing Sequences

混合序列的强大数律

Strong law of large numbers for mixing sequences

ρ~-混合随机场强大数律的收敛速度

Complete convergence rates in the strong laws for ρ ~ & mixing random fields

B-值强混合随机场的进一步矩不等式及强大数律

Further moment inequalities for B-valued strong mixing random fields and strong laws of large numbers

α－混合序列和的强大数律及其应用

Strong law of large number for the sum of α mixing sequences and its application

一类统计量的强大数律和重对数律的精确极限性质

Precise Asymptotic in the Laws of Large Numbers and Law of Iterated Logarithm for Some Statistics

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

正相协列乘积和的重对数律与强大数律

The law of iterated logarithm and strong law of large numbers for product sums of PA sequences

φ-混合、α-混合序列和的强大数律

A Law of Large Numbers for the Sum of φ - mixing and α - mixing Random Variable Sequences

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 .

本文讨论了可交换随机变量序列{Xn：n≥1}的极限定理，得到了可交换随机变量序列的随机强大数律及加权和定理，并推广了文[4]中的结果。

In this paper , we discuss limit theorems of exchangeable random variables { Xn : n ≥ 1 } , obtain random strong law and weighted sums theorems of exchangeable random variable sequences , and extend the results of paper [ 4 ] .