Further study on complete convergence for weighted sums of arrays of rowwise asymptotically almost negatively associated random variables

Haiwu Huang; Hanjun Zhang; Qingxia Zhang; Jiangyan Peng

Kybernetika (2015)

  • Volume: 51, Issue: 6, page 960-972
  • ISSN: 0023-5954

Abstract

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In this paper, the authors further studied the complete convergence for weighted sums of arrays of rowwise asymptotically almost negatively associated (AANA) random variables with non-identical distribution under some mild moment conditions. As an application, the Marcinkiewicz-Zygmund type strong law of large numbers for weighted sums of AANA random variables is obtained. The results not only generalize the corresponding ones of Wang et al. [19], but also partially improve the corresponding ones of Huang et al. [8].

How to cite

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Huang, Haiwu, et al. "Further study on complete convergence for weighted sums of arrays of rowwise asymptotically almost negatively associated random variables." Kybernetika 51.6 (2015): 960-972. <http://eudml.org/doc/276168>.

@article{Huang2015,
abstract = {In this paper, the authors further studied the complete convergence for weighted sums of arrays of rowwise asymptotically almost negatively associated (AANA) random variables with non-identical distribution under some mild moment conditions. As an application, the Marcinkiewicz-Zygmund type strong law of large numbers for weighted sums of AANA random variables is obtained. The results not only generalize the corresponding ones of Wang et al. [19], but also partially improve the corresponding ones of Huang et al. [8].},
author = {Huang, Haiwu, Zhang, Hanjun, Zhang, Qingxia, Peng, Jiangyan},
journal = {Kybernetika},
keywords = {arrays of rowwise AANA random variables; complete convergence; Marcinkiewicz–Zygmund type strong law of large numbers; weighted sums},
language = {eng},
number = {6},
pages = {960-972},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Further study on complete convergence for weighted sums of arrays of rowwise asymptotically almost negatively associated random variables},
url = {http://eudml.org/doc/276168},
volume = {51},
year = {2015},
}

TY - JOUR
AU - Huang, Haiwu
AU - Zhang, Hanjun
AU - Zhang, Qingxia
AU - Peng, Jiangyan
TI - Further study on complete convergence for weighted sums of arrays of rowwise asymptotically almost negatively associated random variables
JO - Kybernetika
PY - 2015
PB - Institute of Information Theory and Automation AS CR
VL - 51
IS - 6
SP - 960
EP - 972
AB - In this paper, the authors further studied the complete convergence for weighted sums of arrays of rowwise asymptotically almost negatively associated (AANA) random variables with non-identical distribution under some mild moment conditions. As an application, the Marcinkiewicz-Zygmund type strong law of large numbers for weighted sums of AANA random variables is obtained. The results not only generalize the corresponding ones of Wang et al. [19], but also partially improve the corresponding ones of Huang et al. [8].
LA - eng
KW - arrays of rowwise AANA random variables; complete convergence; Marcinkiewicz–Zygmund type strong law of large numbers; weighted sums
UR - http://eudml.org/doc/276168
ER -

References

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