## Lectures on the central limit theorem for empirical processes (1986)

by
Evarist Giné
,
Vladimir Koltchinskii
,
Jon A. Wellner

Venue: | Probability and Banach Spaces |

Citations: | 94 - 6 self |

### BibTeX

@INPROCEEDINGS{Giné86lectureson,

author = {Evarist Giné and Vladimir Koltchinskii and Jon A. Wellner},

title = {Lectures on the central limit theorem for empirical processes},

booktitle = {Probability and Banach Spaces},

year = {1986},

pages = {50--113}

}

### Years of Citing Articles

### OpenURL

### Abstract

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