| 1. | Convergence properties of complex independent random variables
复值独立随机变量序列的收敛性 |
| 2. | On almost sure max - limit theorems for the independent random variables
独立随机序列最大值的几乎处处极限定理 |
| 3. | The weak law of large numbers for sequence of complex independent random variables
复值独立随机变量序列的弱大数定律 |
| 4. | The strong law of large numbers for sequence of complex independent random variables
复值独立随机变量序列的强大数定律 |
| 5. | A limit theorem for product of partial sums of independent random variables
关于独立随机变量列部分和乘积的一个极限定理 |
| 6. | Weak convergence of the distribution of independent random variable series in hilbert space
空间中独立随机变量序列分布的弱收敛性 |
| 7. | In this paper we give some new results of - mixing random variables linear form . it extend relevant theorems of independent random variables
摘要给出了一些-混合随机变量线性形式的新结果，它推广了独立随机变量的相应定理。 |
| 8. | Studied the complete convergence and law of large number of arrays of rowwise nqd random variables . results extended the corresponding results of array of rowwise independent random variables
摘要研究了行为两两nqd的随机变量阵列的完全收敛性和大数定律，所得结果，推广了行独立随机变量阵列相应的结果。 |
| 9. | This paper gaves its equivalent propositions and proves that a . s . convergence of independent random variables ' s sum variables is equivalent to its probability convergence , and equivalent to its weak convergence
给出了它的几个等价命题，同时还证明了独立随机变量和序列几乎处处收敛等价于依概率收敛，亦等价于依分布收敛。 |
| 10. | 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。 |
