Ratio Limit Theorems for Empirical Processes

作者: Evarist Giné , Vladimir Koltchinskii , Jon A. Wellner

DOI: 10.1007/978-3-0348-8069-5_15

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摘要: Concentration inequalities are used to derive some new for ratio-type suprema of empirical processes. These general prove several limit theorems and recover a number the results from [1] [2]. As statistical application, an oracle inequality nonparametric regression is obtained via ratio bounds.

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