Approximation of the tail probability of randomly weighted sums of dependent random variables with dominated variation

Approximation of the tail probability of randomly weighted sums of dependent random variables with dominated variation
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具有主导变异的因随机变量的随机加权和的尾部概率的近似

DOI:
10.1016/j.jmaa.2010.10.020
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发表时间:
2011-04
影响因子:
1.3
通讯作者:
Chen, Yu
Chen, Yu
中科院分区:
数学3区
文献类型:
--
作者:
Su, Chun;Yi, Lan;Chen, Yu

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本文讨论了两两拟渐近独立但不同分布的显性变尾随机变量序列随机加权和的尾概率的逼近问题。权重与前一序列无关,满足一些关于矩的假设。但对权重的依赖结构没有要求。
This paper deals with the approximation of the tail probability of randomly weighted sums of a sequence of pairwise quasi-asymptotically independent but non-identically distributed dominatedly-varying-tailed random variables. The weights are independent of the former sequence, satisfying some assumptions about the moments. But no requirements on the dependence structure of the weights are imposed.
具有主导变尾增量的随机加权和及其在风险理论中的应用
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