## The Annals of Probability

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

#### 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.

#### Article information

Source
Ann. Probab. Volume 7, Number 2 (1979), 193-243.

Dates
First available in Project Euclid: 19 April 2007

https://projecteuclid.org/euclid.aop/1176995085

Digital Object Identifier
doi:10.1214/aop/1176995085

Mathematical Reviews number (MathSciNet)
MR525051

Zentralblatt MATH identifier
0402.60031

JSTOR