Lower limits for distribution tails of randomly stopped sums

Lower limits for distribution tails of randomly stopped sums
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DOI:
10.1137/s0040585x97983328
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发表时间:
2008-11
影响因子:
0.6
通讯作者:
D. Denisov;D. Korshunov;S. Foss
D. Denisov;D. Korshunov;S. Foss
中科院分区:
数学4区
文献类型:
--
作者:
D. Denisov;D. Korshunov;S. Foss

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我们研究尾部分布的比率$\overline{F^{*\tau}}(x)/\,\overline F(x)$的下限,其中$F^{*\tau}$是具有共同分布F的独立同分布随机变量的随机大小$\tau$的和的分布,并且随机变量$\tau$不依赖于和。
We study lower limits for the ratio $\overline{F^{*\tau}}(x)/\,\overline F(x)$ of tail distributions, where $F^{*\tau}$ is a distribution of a sum of a random size $\tau$ of independent identically distributed random variables having a common distribution F, and a random variable $\tau$ does not depend on the summands.