论文标题
对数孔序列的浓度不平等
Concentration inequalities for log-concave sequences
论文作者
论文摘要
我们通过概率解释研究了对数洞穴的概念的定量含义。特别是，我们得出了浓度不平等，矩和熵范围的随机变量，满足精确程度的对数洞穴。在此过程中，我们恢复，改进和简化了文献中存在的几个结果。我们的方法是基于凸顺序的主要化。
We investigate quantitative implications of the notion of log-concavity through a probabilistic interpretation. In particular, we derive concentration inequalities, moment and entropy bounds for random variables satisfying a precise degree of log-concavity. Along the way, we recover, improve, and simplify several results existing in the literature. Our approach is based on majorization in the convex order.
