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Some strong laws of large numbers, L2-convergence and complete convergence for m-AANA random vectors in Hilbert space
Stochastics ( IF 0.9 ) Pub Date : 2020-05-05 , DOI: 10.1080/17442508.2020.1760867
Mi-Hwa Ko 1
Affiliation  

ABSTRACT

In this paper, based on inequalities for the maximum of the partial sums of m-asymptotically almost negatively associated random vectors in Hilbert space, we establish various kinds of strong laws of large numbers, L2-convergence and complete convergence. In addition, by relating this dependence condition to residual Cesáro alpha-integrability and to strongly residual Cesáro alpha-integrability, we obtain some L2-convergence and complete convergence results.



中文翻译:

Hilbert空间中m-AANA随机向量的一些强大的大数定律,L2收敛和完全收敛

抽象的

本文基于希尔伯特空间中m个渐近几乎为负相关的随机向量的部分和的最大值的不等式,建立了各种大数的强定律,大号2个-收敛和完全收敛。另外,通过将此依赖条件与剩余的Cesároα-可积性和强烈的残留的Cesároα-可积性联系起来,我们获得了一些大号2个-收敛和完整的收敛结果。

更新日期:2020-05-05
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