Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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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)
  • Published : 2006.02.01
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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.

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References

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