We prove that the $f$-divergences between univariate Cauchy distributions are always symmetric and can be expressed as functions of the chi-squared divergence. We show that this property does not hold anymore for multivariate Cauchy distributions. We then present several metrizations of $f$-divergences between univariate Cauchy distributions.

翻译：我们证明,独家经销之间的美元差价总是对称的,可以表现为奇差的函数。我们证明,这种财产不再用于多家经销。然后,我们提供了几笔独家经销之间的美元差价。