On the strong convergence for weighted sums of asymptotically almost negatively associated random variables
Kybernetika, Tome 50 (2014) no. 3, pp. 393-407
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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.
DOI :
10.14736/kyb-2014-3-0393
Classification :
60F15
Keywords: AANA random variables; strong convergence; weighted sums
Keywords: AANA random variables; strong convergence; weighted sums
@article{10_14736_kyb_2014_3_0393,
author = {Huang, Haiwu and Deng, Guangming and Zhang, QingXia and Jiang, Yuanying},
title = {On the strong convergence for weighted sums of asymptotically almost negatively associated random variables},
journal = {Kybernetika},
pages = {393--407},
publisher = {mathdoc},
volume = {50},
number = {3},
year = {2014},
doi = {10.14736/kyb-2014-3-0393},
mrnumber = {3245537},
zbl = {1301.60030},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2014-3-0393/}
}
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 SP - 393 EP - 407 VL - 50 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.14736/kyb-2014-3-0393/ DO - 10.14736/kyb-2014-3-0393 LA - en ID - 10_14736_kyb_2014_3_0393 ER -
%0 Journal Article %A Huang, Haiwu %A Deng, Guangming %A Zhang, QingXia %A Jiang, Yuanying %T On the strong convergence for weighted sums of asymptotically almost negatively associated random variables %J Kybernetika %D 2014 %P 393-407 %V 50 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.14736/kyb-2014-3-0393/ %R 10.14736/kyb-2014-3-0393 %G en %F 10_14736_kyb_2014_3_0393
Huang, Haiwu; Deng, Guangming; Zhang, QingXia; Jiang, Yuanying. On the strong convergence for weighted sums of asymptotically almost negatively associated random variables. Kybernetika, Tome 50 (2014) no. 3, pp. 393-407. doi: 10.14736/kyb-2014-3-0393
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