Some Inequalities for the Distribution of Sums of Independent Random Variables
Some Inequalities for the Distribution of Sums of Independent Random Variables
复制标题
独立随机变量之和分布的一些不等式
DOI：
10.1137/1122031
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发表时间：
1978
影响因子：
0.6
通讯作者：
I. Pinelis
中科院分区：
文献类型：
--
作者：
S. Nagaev;I. Pinelis
不等式（2）相当麻烦，并且从概率的角度来看完全缺乏清晰度。从这个意义上来说，它显然不如不等式（1）。与（1）相比，通用性和更高的精度是不等式（2）的优点。从（2）我们可以得到推论估计，它已经足够简单和明显了。
Inequality (2) is rather cumbersome andabsolutely lacks clarity from the probabilistic point of view. In this sense it obviously is inferior to inequality (1). The generality and much larger precision in comparison to (1) is the virtue of inequality (2). From (2) one can obtain as corollaries estimates which are already sufficiently simple and obvious.