On the strong convergence for weighted sums of asymptotically almost negatively associated random variables

Haiwu Huang; Guangming Deng; QingXia Zhang; Yuanying Jiang

Kybernetika (2014)

  • Volume: 50, Issue: 3, page 393-407
  • ISSN: 0023-5954

Abstract

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Applying the moment inequality of asymptotically almost negatively associated (AANA, in short) random variables which was obtained by Yuan and An (2009), some strong convergence results for weighted sums of AANA random variables are obtained without assumptions of identical distribution, which generalize and improve the corresponding ones of Zhou et al. (2011), Sung (2011, 2012) to the case of AANA random variables, respectively.

How to cite

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Huang, Haiwu, et al. "On the strong convergence for weighted sums of asymptotically almost negatively associated random variables." Kybernetika 50.3 (2014): 393-407. <http://eudml.org/doc/261893>.

@article{Huang2014,
abstract = {Applying the moment inequality of asymptotically almost negatively associated (AANA, in short) random variables which was obtained by Yuan and An (2009), some strong convergence results for weighted sums of AANA random variables are obtained without assumptions of identical distribution, which generalize and improve the corresponding ones of Zhou et al. (2011), Sung (2011, 2012) to the case of AANA random variables, respectively.},
author = {Huang, Haiwu, Deng, Guangming, Zhang, QingXia, Jiang, Yuanying},
journal = {Kybernetika},
keywords = {AANA random variables; strong convergence; weighted sums; AANA random variables; strong convergence; weighted sums},
language = {eng},
number = {3},
pages = {393-407},
publisher = {Institute of Information Theory and Automation AS CR},
title = {On the strong convergence for weighted sums of asymptotically almost negatively associated random variables},
url = {http://eudml.org/doc/261893},
volume = {50},
year = {2014},
}

TY - JOUR
AU - Huang, Haiwu
AU - Deng, Guangming
AU - Zhang, QingXia
AU - Jiang, Yuanying
TI - On the strong convergence for weighted sums of asymptotically almost negatively associated random variables
JO - Kybernetika
PY - 2014
PB - Institute of Information Theory and Automation AS CR
VL - 50
IS - 3
SP - 393
EP - 407
AB - Applying the moment inequality of asymptotically almost negatively associated (AANA, in short) random variables which was obtained by Yuan and An (2009), some strong convergence results for weighted sums of AANA random variables are obtained without assumptions of identical distribution, which generalize and improve the corresponding ones of Zhou et al. (2011), Sung (2011, 2012) to the case of AANA random variables, respectively.
LA - eng
KW - AANA random variables; strong convergence; weighted sums; AANA random variables; strong convergence; weighted sums
UR - http://eudml.org/doc/261893
ER -

References

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