共查询到19条相似文献,搜索用时 515 毫秒
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利用截尾的方法和负相关(ND)随机变量的矩不等式,研究ND随机变量序列加权和的完全收敛性,结果,我们把独立同分布随机变量序列的完全收敛性定理推广到了ND序列情形下成立. 相似文献
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本文研究变系数EV模型的ND样本加权和的相合性问题.利用ND序列的Bernstein型不等式和截尾的方法,获得了ND样本加权和sum from i=1 to n(W_(ni)(t_0)Y_i)的强、弱相合性,推广了独立随机变量加权和的相合性. 相似文献
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利用ND随机变量序列的矩不等式、极大值不等式以及随机变量的截尾方法,重点研究了ND随机变量序列部分和的大偏差结果和强收敛性,推广了文献中一些相依随机变量序列的若干相应结果. 相似文献
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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
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在本文中,首先我们得到了负相关(ND)随机变量序列的指数不等式和矩不等式,然后运用这些不等式讨论了ND序列的对数律.结果,我们将独立情形下的对数律推广到ND序列情形下依然成立. 相似文献
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本文研究AANA随机变量序列加权和的Teicher型强大数律,利用AANA随机变量最大值的Rosenthal型不等式,给出AANA随机变量序列加权和的Teicher 型强大数律的几个充分条件.所得的结果推广和改进了前人在NA列时的相应结果. 相似文献
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《数学季刊》2016,(4):359-368
In the paper, the complete convergence for the maximum of weighted sums of negatively superadditive dependent(NSD, in short) random variables is investigated by using the Rosenthal type inequality. Some su?cient conditions are presented to prove the complete convergence. The result obtained in the paper generalizes some corresponding ones for independent random variables and negatively associated random variables. 相似文献
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《数学季刊》2016,(4)
In the paper, the complete convergence for the maximum of weighted sums of negatively superadditive dependent(NSD, in short) random variables is investigated by using the Rosenthal type inequality. Some sufficient conditions are presented to prove the complete convergence. The result obtained in the paper generalizes some corresponding ones for independent random variables and negatively associated random variables. 相似文献
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Strong limit theorems are established for weighted sums of widely orthant dependent(WOD) random variables. As corollaries, the strong limit theorems for weighted sums of extended negatively orthant dependent(ENOD) random variables are also obtained, which extend and improve the related known works in the literature. 相似文献
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Complete Convergence and Complete Moment Convergence for Maximal Weighted Sums of Extended Negatively Dependent Random Variables
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Ji Gao Yan 《数学学报(英文版)》2018,34(10):1501-1516
In this paper,the complete convergence and complete moment convergence for maximal weighted sums of extended negatively dependent random variables are investigated.Some sufficient conditions for the convergence are provided.In addition,the Marcinkiewicz–Zygmund type strong law of large numbers for weighted sums of extended negatively dependent random variables is obtained.The results obtained in the article extend the corresponding ones for independent random variables and some dependent random variables. 相似文献
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《数学季刊》2016,(1):1-8
In this article, we study the complete convergence for weighted sums of widely orthant dependent random variables. By using the exponential probability inequality, we establish a complete convergence result for weighted sums of widely orthant dependent ran-dom variables under mild conditions of weights and moments. The result obtained in the paper generalizes the corresponding ones for independent random variables and negatively dependent random variables. 相似文献
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In this paper, we first establish a useful result on strong convergence for weighted sums of widely orthant dependent (WOD, in short) random variables. Based on the strong convergence that we established and the Bernstein type inequality, we investigate the strong consistency of M estimators of the regression parameters in linear models based on WOD random errors under some more mild moment conditions. The results obtained in the paper improve and extend the corresponding ones for negatively orthant dependent random variables and negatively superadditive dependent random variables. Finally, the simulation study is provided to illustrate the feasibility of the theoretical result that we established. 相似文献
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In this paper, the complete qth moment convergence for weighted sums of sequences of negatively orthant dependent random variables is investigated. By applying moment inequality and truncation methods, the equivalent conditions of complete qth moment convergence for weighted sums of sequences of negatively orthant dependent random variables are established. These results not only extend the corresponding results obtained by Li and Sp\v{a}taru\ucite{4}, Liang et al.\ucite{5}, Guo\ucite{6} and Gut\ucite{21} to sequences of negatively orthant dependent random variables, but also improve them. 相似文献
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Complete Convergence for Weighted Sums of Negatively Superadditive Dependent Random Variables
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Let $\{X_n,n\geq1\}$ be a sequence of negatively superadditive
dependent (NSD, in short) random variables and $\{a_{nk}, 1\leq
k\leq n, n\geq1\}$ be an array of real numbers. Under some suitable
conditions, we present some results on complete convergence for
weighted sums $\sum_{k=1}^na_{nk}X_k$ of NSD random variables by
using the Rosenthal type inequality. The results obtained in the
paper generalize some corresponding ones for independent random
variables and negatively associated random variables. 相似文献