THE ALMOST SURE CONVERGENCE OF AANA SEQUENCES IN DOUBLE ARRAYS

Ko Mi-Hwa; Ryu Dae-Hee; Kim Tae-Sung

doi:10.4134/BKMS.2006.43.1.169

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THE ALMOST SURE CONVERGENCE OF AANA SEQUENCES IN DOUBLE ARRAYS

Journal title : Bulletin of the Korean Mathematical Society
Volume 43, Issue 1, 2006, pp.169-178
Publisher : The Korean Mathematical Society
DOI : 10.4134/BKMS.2006.43.1.169

Title & Authors

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 ${${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

Keywords

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

Language

English

Cited by

References

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