[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2004.19.4.765

STRONG LAWS OF LARGE NUMBERS FOR ASYMPTOTICALLY QUADRANT INDEPENDENT RANDOM FIELDS

Ko, Mi-Hwa (Statistical Research Center for Complex Systems Seoul National University)
Kim, Tae-Sung (Department of Mathematics and Institute of Basic Science WonKwang University)
Kim, Hyun-Chull (Division of Computer and Information Science Daebul University)

Publication Information

Communications of the Korean Mathematical Society / v.19, no.4, 2004 , pp. 765-773 More about this Journal

Abstract

In this paper we define the notion of asymptotically quadrant independent random field and derive the strong laws of large numbers for this random field.

Keywords

strong law of large numbers; pairwise positive quadrant dependent random variables; asymptotically quadrant independence; random fields;

Citations & Related Records

Reference

1	E. L. Lehmann, Some concepts of dependence, Ann. Math. Statist. 37 (1966), 1137-1153. DOI
2	C. M. Newman, Asymptotic independence and limit theorems for positively and negatively dependent random variables. in : Y.L. Tong, ed., Inequalities in Statistics and Probability, IMS, Hayward CA, 1984, 127-140. DOI
3	T. Birkel, A note on the strong law of large numbers for positively dependent random variables, Statist. Probab. Lett. 7 (1989), 17-20 DOI ScienceOn
4	T. Birkel, Laws of large numbers under dependence assumptions, Statist. Probab. Lett. 14 (1992), 355-362. DOI ScienceOn
5	N. Etemadi, On the strong laws of large numbers for nonnegative random variables, J. Multivariate Anal. 13 (1983), 187-193. DOI