# ON THE CONVERGENCE FOR WEIGHTED SUMS OF ASYMPTOTICALLY ALMOST NEGATIVELY ASSOCIATED RANDOM VARIABLES

• KIM, TAE-SUNG (Division of Mathematics and Informational Statistics and Institute of Basic Natural Science, WonKwang University) ;
• KIM, HYUN-CHULL (Division of Computer and Information Science Daebul University)
• Published : 2004.09.25
• 43 2

#### Abstract

In this paper we derive complete convergences for weighted sums of asymptotically almost negatively associated random variables.

#### Keywords

Complete convergence;Weighted sum;Negatively associated;Asymptotically almost negatively associated

#### References

1. Ann. Statist. v.11 Negative association of random variables with applications Joag-Dev, K.;Proschan, F.
2. J. Theor. Probab. v.8 Complete convergence and almost sure convergence of weighted sums of random variables Li, D.L.;Rao, M.B.;Jiang, T.F.;Wang, X.C.
3. Statist. Probab. Lett. v.45 Complete convergence for weighted sums of NA sequences Liang, H.Y.;Su, C.
4. Probab. Theory Rel. Fields. v.75 A remark on almost sure convergence of weighted sums Trum, R.
5. Ann. Math. Statist. v.37 Some convergence theorems for independent random variables Chow, Y.S.
6. Probab. Theory Related Fields. v.97 Complete convergence and Cesire summation for i.i.d. random variables Gut, A.
7. J. Mult. Anal. v.3 On dominations between measures of dependence Bradley, R.C.;Bryc, W.;Janson, S.
8. Acta. Math. Hungar. v.32 Extensions of the strong law of large numbers of Marcinkiewicz and Zygmund for dependent variables Chandra, T.K.;Ghosal, S.
9. Proc. Nat. Acad. Sci. v.33 no.2 Complete convergence and the law of large numbers Hsu, P.L.;Robbins, H.
10. Statist. Probab. Lett. v.15 A note on the almost sure convergence of sums of negatively dependent random variables Matula, P.