• Title/Summary/Keyword: negatively quadrant dependent${\varphi}$-mixing

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ON THE COMPLETE CONVERGENCE FOR WEIGHTED SUMS OF DEPENDENT RANDOM VARIABLES UNDER CONDITION OF WEIGHTED INTEGRABILITY

  • Baek, Jong-Il;Ko, Mi-Hwa;Kim, Tae-Sung
    • Journal of the Korean Mathematical Society
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    • v.45 no.4
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    • pp.1101-1111
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    • 2008
  • Under the condition of h-integrability and appropriate conditions on the array of weights, we establish complete convergence and strong law of large numbers for weighted sums of an array of dependent random variables.