Cauchy-Distributed Functions and a Characterization of the Cauchy Distribution

E. J. Williams

doi:10.1214/aoms/1177697613

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June, 1969 Cauchy-Distributed Functions and a Characterization of the Cauchy Distribution

E. J. Williams

Ann. Math. Statist. 40(3): 1083-1085 (June, 1969). DOI: 10.1214/aoms/1177697613

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.

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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