[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2006.43.1.169

THE ALMOST SURE CONVERGENCE OF AANA SEQUENCES IN DOUBLE ARRAYS

Ko Mi-Hwa (STATISTICAL RESEARCH CENTER FOR COMPLEX SYSTEMS, SEOUL NATIONAL UNIVERSITY)
Ryu Dae-Hee (DEPARTMENT OF COMPUTER SCIENCE, CHUNGWOON UNIVERSITY)
Kim Tae-Sung (DEPARTMENT OF MATHEMATICS AND INSTITUTE OF BASIC SCIENCE, WONKWANG UNIVERSITY)

Publication Information

Bulletin of the Korean Mathematical Society / v.43, no.1, 2006 , pp. 169-178 More about this Journal

Abstract

For double arrays of constants ${a_{ni},\;1{\leq}i{\leq}k_n,\;n{\geq}1}$ and sequences ${X_n,\;n{\geq}1}$ of asymptotically almost negatively associated (AANA) random variables the almost sure convergence of $\sum\limits{_{i=1}}{^{k_n}}\;a_{ni}X_i$ is derived.

Keywords

almost sure convergence; double arrays; asymptotically almost negatively associated; weighted sums;

Citations & Related Records

Times Cited By SCOPUS : 0

Reference

1	R. C. Bradley, W. Bryc, and S. Janson, On dominations between measures of dependence, J. Multivariate Anal. 23 (1987), no. 2, 312-329 DOI
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 DOI
3	K. Joag-Dev and F. Proschan, Negative association of random variables, with application, Ann. Statist. 11 (1983), no. 1, 286-295 DOI
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 DOI
5	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 DOI ScienceOn
6	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 DOI ScienceOn
7	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 DOI