The subgaussian constant and concentration inequalities

Bobkov SG; Houdre C; Tetali P

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The subgaussian constant and concentration inequalities

机译：次高斯常数和浓度不等式

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摘要

We study concentration inequalities for Lipschitz functions on graphs by estimating the optimal constant in exponential moments of subgaussian type. This is illustrated on various graphs and related to various graph constants. We also settle, in the affirmative, a question of Talagrand on a deviation inequality for the discrete cube.

机译：我们通过估计亚高斯型指数矩中的最佳常数来研究图上Lipschitz函数的浓度不等式。这在各种图形上进行了说明，并与各种图形常量相关。我们也肯定地解决了关于离散立方体的偏差不等式的Talagrand问题。

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来源
《Israel Journal of Mathematics》 |2006年第0期|共29页
作者
Bobkov SG; Houdre C; Tetali P;
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正文语种 eng
中图分类数学;
关键词
LOGARITHMIC SOBOLEV INEQUALITIES; ISOPERIMETRIC-INEQUALITIES; EXPONENTIAL INTEGRABILITY; RANDOM-VARIABLES; DISCRETE TORUS; SPACES; GRAPHS;

机译：对数Sobolev不等式;等距不等式;指数积分;随机变量;离散圆环;空间;图;

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机译：次高斯常数和浓度不等式

The subgaussian constant and concentration inequalities

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