摘要
本文研究了相关变量的Chernoff问题.利用相关变量构造图的方法,利用均匀染色的结果,获得了更强的Chernoff界,推广了Chernoff不等式在相关随机变量的不等式下的界.
In this paper, we present a strong Chernoff bounds by using the existence of smallsized equitable colorings of graphs. The case we considered here is for sums of random variableswith dependence. Our result improves the known results as far as we known.
出处
《数学杂志》
CSCD
北大核心
2014年第6期1015-1024,共10页
Journal of Mathematics
基金
Supported by National Natural Science Foundation of China(11371052
11271267
10971144
11101020)
NSCFBJ(1102015)
the Fundamental Research Funds for the Central Universities(2011B019
3142013104)
North China Institute of Science And Technology Key Discipline Items of Basic Construction(HKXJZD201402)