| On the convergence for PNQD sequences with general moment conditions |
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| 作者姓名： | XIAO Juan QIU De-hua |
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| 作者单位： | School of Mathematics and Statistics;School of Statistics and Mathematics |
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| 基金项目： | Supported by the National Natural Science Foundation of China(No.11271161). |
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| 摘 要： | Let fX;Xn;n≥1g be a sequence of identically distributed pairwise negative quadrant dependent(PNQD)random variables and fan;n1g be a sequence of positive constants with an=f(n)and f(θ^k)=f(θ^k-1)for all large positive integers k,where 1<θ≤βand f(x)>0(x≥1)is a non-decreasing function onb;+1)for some b≥1:In this paper,we obtain the strong law of large numbers and complete convergence for the sequence fX;Xn;n≥1g,which are equivalent to the general moment conditionΣ∞n=1P(|X|>an)<1.Our results extend and improve the related known works in Baum and Katz1],Chen at al.3],and Sung14].
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| 关 键 词： | pairwise negative quadrant dependent(PNQD)random variable strong law of large numbers complete convergence general moment condition |
On the convergence for PNQD sequences with general moment conditions |
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| XIAO Juan,QIU De-hua.On the convergence for PNQD sequences with general moment conditions[J].Applied Mathematics A Journal of Chinese Universities,2020(2):184-192. |
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