论文标题
限制定理的随机总和的随机总和
Limit Theorems for Random Sums of Random Summands
论文作者
论文摘要
我们证明，在汇总条件下的随机随机变量总和的总和限制了定理。我们考虑了几个版本的角增长设置，包括汇总和凸起的汇总之间的特定依赖情况。我们还证明了Hoeffding的组合中央限制定理的一种版本，并从随机样本中均匀地拍摄的汇总结果。这些结果以量度技术的浓度证明。
We prove limit theorems for sums of randomly chosen random variables conditioned on the summands. We consider several versions of the corner growth setting, including specific cases of dependence amongst the summands and summands with heavy tails. We also prove a version of Hoeffding's combinatorial central limit theorem and results for summands taken uniformly from a random sample. These results are proved with concentration of measure techniques.
