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.
Citation
E. J. Williams. "Cauchy-Distributed Functions and a Characterization of the Cauchy Distribution." Ann. Math. Statist. 40 (3) 1083 - 1085, June, 1969. https://doi.org/10.1214/aoms/1177697613
Information
Published: June, 1969
First available in Project Euclid: 27 April 2007
zbMATH: 0184.22602
MathSciNet: MR243657
Digital Object Identifier: 10.1214/aoms/1177697613
Rights: Copyright © 1969 Institute of Mathematical Statistics
