| 1. | A law of the iterated logarithm for the heavily trimmed sums
重截和的重对数律 |
| 2. | The bounded law of the iterated logarithm for sequen
随机变量列的有界重对数律 |
| 3. | Law of the iterated logarithm for nonstationary negatively associated random fields
随机变量域的重对数律 |
| 4. | Law of the iterated logarithm of quantile density estimator for left truncated and right censored data
左截断右删失数据下分位密度估计的重对数律 |
| 5. | The law of the iterated logarithm is a kind of profound result on the limit theory , it make the strong law of large numbers exact
重对数律是概率极限理论中一类极为深刻的结果，是强大数律的精确化。 |
| 6. | In this paper , sufficient conditions are given for applicability of the law of the iterated logarithm for self - normalized sums of independent random vectors
摘要本文给出了独立随机向量序列自正则和的重对数律成立的一个充分条件。 |
| 7. | By employing de finetti theorem , in chapter two we discuss the limit behaviour of interchangeable random variables squences , mainly including the convergence rates in the central limit theorem and the law of the iterated logarithm
第二章主要讨论了可交换随机变量序列的极限性质，具体包括中心极限定理的收敛速度和重对数律，所得的结论补充了可交换随机变量极限理论方面的结果。 |
| 8. | The paper consists of two chapters . in the first chapter , theory 1 [ 1 ] mainly by using the method of the law of the iterated logarithm with finite partial sum in wiener process proves hartman - wintner [ 1 ] law of the iterated logarithm for special finite partial weight sums
本文正文分两部分，定理1主要利用[ 1 ] wiener过程下的有限项部分和的重对数律，把hartman - wintner重对数律[ 1 ]推广到对特殊加权部分和也成立。 |
| 9. | The limit theory of law of the iterated logarithm have received more and more attentions , especially about identical independent random variables . but up to now , the studies are only for partial sums and , have n ' t shown any concern on the special finite partial weight suras . however , the partial sums and partial weight sums not only have the osculating aspects , but also have essential difference between them . so the studies for these play an important role in theoretical and applied setups
因此对重对数律的研究引起了国内外学者的兴趣，对独立同分布的随机变量，许多学者做了大量的研究工作，但迄今为止这方面的研究仍限于部分和数列的重对数律，很少涉及到特殊加权和的领域，而部分和与加权和之间既有密切联系，又有本质不同，因此，这一问题的研究具有一定理论意义和应用价值。 |
| 10. | A kind of complete convergence of sums for negatively associated sequences of non - identically distributed random variables , in the second chapter , is obtained and the requirement of known results are weakened to the condition that absoluted moment - larger than zero - is finite . the strong convergence of negatively associated sequences of non - identically distributed random variables is discussed in the third chapter . in the fourth chapter , after extend the laws of the iterated logarithm of strong stationary case to weak stationary case , we obtain the strong convergence rate for negatively associated sequences of non - identically distributed random variables in linear models
其中第二章讨论了一类不同分布的na列的加权和的完全收敛性，我们把已有的结果对矩的要求放宽到了只要求大于0的绝对矩有限的情形；第三章讨论了不同分布的na列的加权和的强收敛性；第四章首先把文[ 10 ]的关于na的重对数律由强平稳的情形推广到了弱平稳不同分布的情形，然后得到了线性模型中不同分布的na误差列的收敛速度。 |
