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CONVERGENCE PROPERTIES OF THE PARTIAL SUMS FOR SEQUENCES OF END RANDOM VARIABLES

  • Wu, Yongfeng (Department of Mathematics and Computer Science Tongling University) ;
  • Guan, Mei (Department of Mathematics and Physics Hefei University)
  • Received : 2010.04.16
  • Published : 2012.11.01

Abstract

The convergence properties of extended negatively dependent sequences under some conditions of uniform integrability are studied. Some sufficient conditions of the weak law of large numbers, the $p$-mean convergence and the complete convergence for extended negatively dependent sequences are obtained, which extend and enrich the known results in the literature.

Keywords

References

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