• Title/Summary/Keyword: extended negative dependence random sequences

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

  • Wu, Yongfeng;Guan, Mei
    • Journal of the Korean Mathematical Society
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    • v.49 no.6
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    • pp.1097-1110
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    • 2012
  • 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.

On Complete Convergence for Weighted Sums of Pairwise Negatively Quadrant Dependent Sequences

  • Ko, Mi-Hwa
    • Communications for Statistical Applications and Methods
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    • v.19 no.2
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    • pp.247-256
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    • 2012
  • In this paper we prove the complete convergence for weighted sums of pairwise negatively quadrant dependent random variables. Some results on identically distributed and negatively associated setting of Liang and Su (1999) are generalized and extended to the pairwise negative quadrant dependence case.