THE ALMOST SURE CONVERGENCE OF AANA SEQUENCES IN DOUBLE ARRAYS Ko Mi-Hwa; Ryu Dae-Hee; Kim Tae-Sung;
Abstract
For double arrays of constants and sequences of asymptotically almost negatively associated (AANA) random variables the almost sure convergence of is derived.
Keywords
almost sure convergence;double arrays;asymptotically almost negatively associated;weighted sums;
Language
English
Cited by
References
1.
R. C. Bradley, W. Bryc, and S. Janson, On dominations between measures of dependence, J. Multivariate Anal. 23 (1987), no. 2, 312-329
2.
T. K. Chandra and S. Ghosal, Extensions of the strong law of large numbers of Marcinkiewicz and Zygmund for dependent variables, Acta Math. Hungar. 71 (1996), no. 4, 327-336
3.
T. K. Chandra and S. Ghosal, The strong law of large numbers for weighted averages under dependence assumptions, J. Theoret. Probab. 9 (1996), no. 3, 797-809
4.
B. D. Choi and S. H. Sung, Almost sure convergence theorem of weighted sums of random variables, Stochastic Anal. Appl. 5 (1987), no. 4, 365-377
5.
K. Joag-Dev and F. Proschan, Negative association of random variables, with application, Ann. Statist. 11 (1983), no. 1, 286-295
6.
T. S. Kim and M. H. Ko, On the strong law for asymptotically almost negatively associated random variables, Rocky Mountain J. Math. 34 (2004), no. 3, 979-989
7.
P. Matula, A note on the almost sure convergence of sums of negatively dependent random variables, Statist. Probab. Lett. 15 (1992), no. 3, 209-213