Characterizations of the Cauchy distribution associated with integral transforms
arXiv:2007.09707 · doi:10.1556/012.2020.57.3.1469
Abstract
We give two new simple characterizations of the Cauchy distribution by using the Möbius and Mellin transforms. They also yield characterizations of the circular Cauchy distribution and the mixture Cauchy model.
9 pages, to appear in Studia Scientiarum Mathematicarum Hungarica