## The Annals of Mathematical Statistics

- Ann. Math. Statist.
- Volume 40, Number 3 (1969), 1083-1085.

### Cauchy-Distributed Functions and a Characterization of the Cauchy Distribution

#### Abstract

A simple representation of a class of functions of Cauchy variates whose members are also Cauchy variates is given. This leads to a characterization of the Cauchy distribution.

#### Article information

**Source**

Ann. Math. Statist., Volume 40, Number 3 (1969), 1083-1085.

**Dates**

First available in Project Euclid: 27 April 2007

**Permanent link to this document**

https://projecteuclid.org/euclid.aoms/1177697613

**Digital Object Identifier**

doi:10.1214/aoms/1177697613

**Mathematical Reviews number (MathSciNet)**

MR243657

**Zentralblatt MATH identifier**

0184.22602

**JSTOR**

links.jstor.org

#### Citation

Williams, E. J. Cauchy-Distributed Functions and a Characterization of the Cauchy Distribution. Ann. Math. Statist. 40 (1969), no. 3, 1083--1085. doi:10.1214/aoms/1177697613. https://projecteuclid.org/euclid.aoms/1177697613