## The Annals of Probability

- Ann. Probab.
- Volume 8, Number 1 (1980), 83-95.

### Vector Valued Subadditive Processes and Applications in Probability

N. Ghoussoub and J. Michael Steele

#### Abstract

An ergodic theorem is proved which extends the subadditive ergodic theorem of Kingman and the Banach valued ergodic theorem of Mourier. The theorem is applied to several problems, in particular to a problem on empirical distribution functions.

#### Article information

**Source**

Ann. Probab., Volume 8, Number 1 (1980), 83-95.

**Dates**

First available in Project Euclid: 19 April 2007

**Permanent link to this document**

https://projecteuclid.org/euclid.aop/1176994826

**Digital Object Identifier**

doi:10.1214/aop/1176994826

**Mathematical Reviews number (MathSciNet)**

MR556416

**Zentralblatt MATH identifier**

0426.60032

**JSTOR**

links.jstor.org

**Subjects**

Primary: 60F15: Strong theorems

**Keywords**

Ergodic theorem subadditive ergodic theorem Banach lattice empirical distributions

#### Citation

Ghoussoub, N.; Steele, J. Michael. Vector Valued Subadditive Processes and Applications in Probability. Ann. Probab. 8 (1980), no. 1, 83--95. doi:10.1214/aop/1176994826. https://projecteuclid.org/euclid.aop/1176994826