Published online by Cambridge University Press: 20 November 2018
In this note, a certain generalization of the Cauchy distribution is obtained, using the result of Malik [2].
The generalized gamma distribution having the density
(1)
is introduced by Stacy [1], who studied some of its properties. As remarked by Stacy [1], the familiar gamma, chi, chi-squared, exponential and Weibull distributions are special cases of (1), as are the distributions of certain functions of a normal variable - viz.