[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5351/CKSS.2002.9.2.451

The Strong Laws of Large Numbers for Weighted Averages of Dependent Random Variables

Kim, Tae-Sung (Division of Mathematics & Informational Statistics & Institute of Basic Natural Science Wonkwang University)
Lee, Il-Hyun (Division of Mathematics & Informational Statistics Wonkwang University)
Ko, Mi-Hwa (Division of Mathematics & Informational Statistics Wonkwang University)

Publication Information

Communications for Statistical Applications and Methods / v.9, no.2, 2002 , pp. 451-457 More about this Journal

Abstract

We derive the strong laws of large numbers for weighted averages of partial sums of random variables which are either associated or negatively associated. Our theorems extend and generalize strong law of large numbers for weighted sums of associated and negatively associated random variables of Matula(1996; Probab. Math. Statist. 16) and some results in Birkel(1989; Statist. Probab. Lett. 7) and Matula (1992; Statist. Probab. Lett. 15 ).

Keywords

associated; negatively associated; weighted average; strong law of large number;

Citations & Related Records

Reference

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