Left concentration inequalities for empirical processes

被引:13
作者
Klein, T [1 ]
机构
[1] Univ Versailles St Quentin, CNRS, LAMA, Math Lab,UMR 8100, Versailles, France
关键词
D O I
10.1016/S1631-073X(02)02303-8
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We give new constants in Talagrand's left concentration inequality for maxima of empirical processes. Our approach is based on the Herbst method. The improvement we get concerns the constant in the variance factor, which is the one conjectured by Massart.
引用
收藏
页码:501 / 504
页数:4
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Talagrand M., 1996, INVENT MATH, V126, P503