COMPLETE CONVERGENCE FOR WEIGHTED SUMS OF SEQUENCES OF AANA RANDOM VARIABLES
Glasgow mathematical journal, Tome 50 (2008) no. 3, pp. 351-357
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Let Xn, n ≥ 1 be an asymptotically almost negatively associated (AANA) sequence of random variables. Some complete convergence and Marcinkiewicz–Zygmund type strong laws of large numbers for an AANA sequence of random variables are obtained. The results obtained generalize the results of Kim, Ko and Lee (Kim, T. S., Ko, M. H. and Lee, I. H. 2004. On the strong laws for asymptotically almost negatively associated random variables. Rocky Mountain J. of Math. 34, 979–989.).
CAI, GUANG-HUI; GUO, BAO-CAI. COMPLETE CONVERGENCE FOR WEIGHTED SUMS OF SEQUENCES OF AANA RANDOM VARIABLES. Glasgow mathematical journal, Tome 50 (2008) no. 3, pp. 351-357. doi: 10.1017/S0017089508004254
@article{10_1017_S0017089508004254,
author = {CAI, GUANG-HUI and GUO, BAO-CAI},
title = {COMPLETE {CONVERGENCE} {FOR} {WEIGHTED} {SUMS} {OF} {SEQUENCES} {OF} {AANA} {RANDOM} {VARIABLES}},
journal = {Glasgow mathematical journal},
pages = {351--357},
year = {2008},
volume = {50},
number = {3},
doi = {10.1017/S0017089508004254},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089508004254/}
}
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%0 Journal Article %A CAI, GUANG-HUI %A GUO, BAO-CAI %T COMPLETE CONVERGENCE FOR WEIGHTED SUMS OF SEQUENCES OF AANA RANDOM VARIABLES %J Glasgow mathematical journal %D 2008 %P 351-357 %V 50 %N 3 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089508004254/ %R 10.1017/S0017089508004254 %F 10_1017_S0017089508004254
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