共查询到19条相似文献,搜索用时 234 毫秒
1.
2.
本文研究了两两NQD随机变量的Marcinkiewicz-Zygmund不等式及其应用的问题.利用截尾的方法,获得了两两NQD随机变量的p阶(1 ≤ p < 2) Marcinkiewicz-Zygmund不等式结果.作为应用,获得了两两NQD随机变量的两个Lr收敛性结果的简单证明,改进了陈平炎[10]和Sung[20]的相应工作. 相似文献
3.
4.
邱德华 《数学物理学报(A辑)》2011,31(1):132-141
该文研究了ρ 混合随机变量加权和的强大数律及完全收敛性, 获得了一些新的结果. 该文的结果推广和改进了Bai 等[1]及Baum 等[18] 在 i.i.d. 情形时相应的结果, 也推广和改进了Volodin 等[4]在实值独立时相应的结果. 该文还得到了一关于任意随机变量阵列加权和的完全收敛性定理. 相似文献
5.
6.
行为NA的随机变量阵列加权和的完全收敛性(Ⅱ) 总被引:4,自引:0,他引:4
本文研究了行为NA的随机变量阵列加权和的完全收敛性,推广了行独立随机变量阵列相应的结果.且得到了任意随机变量阵列加权和完全收敛的一个定理. 相似文献
7.
8.
该文引入了混合阵列的概念,讨论了混合阵列的完全收敛性与依概率收敛性.所得结果,推广了行独立随机变量阵列相应的结果.此外还得到了一般随机变量阵列的完全收敛性与依概率收敛性. 相似文献
9.
本文研究随机变量阵列加权和的完全收敛性问题,我们获得行~ρ-混合随机变量阵列加权和的一个完全收敛性定理. 通过这个定理可以获得一系列结果. 我们所得结果推广
了Baum和Katz(1965), Peligrad和Gut(1999)所得的结果. 相似文献
10.
11.
行为NA的随机变量阵列加权和的完全收敛性 总被引:1,自引:0,他引:1
In this paper we obtain theorems of complete convergence for weighted sums of arrays of rowwise negatively associated (NA) random variables. These results improve and extend the corresponding results obtained by Sung (2007), Wang et al. (1998) and Li et al. (1995) in independent sequence case. 相似文献
12.
In this paper, we establish the complete convergence and complete moment convergence of weighted sums for arrays of rowwise φ-mixing random variables, and the Baum-Katz-type result for arrays of rowwise φ-mixing random variables. As an application, the Marcinkiewicz-Zygmund type strong law of large numbers for sequences of φ-mixing random variables is obtained. We extend and complement the corresponding results of X. J. Wang, S. H. Hu (2012). 相似文献
13.
Convergence properties for arrays of rowwise pairwise negatively quadrant dependent random variables
In this paper the authors study the convergence properties for arrays of rowwise pairwise negatively quadrant dependent random variables. The results extend and improve the corresponding theorems of T.C. Hu, R. L. Taylor: On the strong law for arrays and for the bootstrap mean and variance, Int. J. Math. Math. Sci 20 (1997), 375–382. 相似文献
14.
In this paper, an exponential inequality for the maximal partial sums of negatively superadditive-dependent (NSD, in short) random variables is established. By using the exponential inequality, we present some general results on the complete convergence for arrays of rowwise NSD random variables, which improve or generalize the corresponding ones of Wang et al. [28] and Chen et al. [2]. In addition, some sufficient conditions to prove the complete convergence are provided. As an application of the complete convergence that we established, we further investigate the complete consistency and convergence rate of the estimator in a nonparametric regression model based on NSD errors. 相似文献
15.
Abstract A complete convergence theorem for arrays of rowwise independent random variables was obtained by Kruglov, Volodin, and Hu (Statistics and Probability Letters 2006, 76:1631–1640). In this article, we extend the result to a Banach space without any additional conditions. No assumptions are made concerning the geometry of the underlying Banach space. 相似文献
16.
本文研究了行m-NA随机阵列的完全收敛性.利用文[8]中结果获得了m-NA列最大部分和的一个概率不等式,并根据该不等式和截尾的方法,探讨了行m-NA随机阵列的完全收敛性,获得了与行NA随机阵列情形类似的结果,简化了文[5]中定理1的证明. 相似文献
17.
18.
利用Hoffmann-Jφrgensen型概率不等式和截尾法,获得了行为NSD随机变量阵列加权和的q阶矩完全收敛性的充分条件.利用这些充分条件,不仅推广和深化梁汉营等(2010)和郭明乐等(2014)的结论,而且使他们的证明过程得到了极大地简化. 相似文献