经验过程大偏差(英文)

LARGE DEVIATIONS FOR THE EMPIRICAL PROCESS

本文研究了独立但不同分布的随机变量序列的经验过程大偏差原理.运用Talagrand-Ledoux偏差不等式建立了该经验过程大偏差估计的充分和必要条件.

The empirical process which consists of independent but not identical distribution random variables （a collection of bounded functions） is studied. Using Talagrand-Ledoux＇ s deviation inequality, we construct the sufficient and necessary conditions of large deviation estimate for the empirical process.