### Empirical Processes: A Survey of Results for Independent and Identically Distributed Random Variables

Peter Gaenssler and Winfried Stute
Source: Ann. Probab. Volume 7, Number 2 (1979), 193-243.

#### Abstract

We consider a sequence $\xi_1, \xi_2, \cdots$ of independent and identically distributed random observations. Let $\mu_n$ denote the empirical distribution for the sample $\{\xi_1, \cdots, \xi_n\}$. It is the aim of the present article to give a survey of various results in the theory of empirical distributions and empirical processes. Special emphasis is given to the developments of the last ten years.

First Page:
Primary Subjects: 62D05
Secondary Subjects: 60B10, 60F05, 60F10, 60F15, 60K99, 62E15, 60E20
Full-text: Open access