A note on invariance of the Cauchy and related distributions

Autor:	Chin, Wooyoung, Jung, Paul, Markowsky, Greg
Rok vydání:	2019
Předmět:	Mathematics - Probability Mathematics - Complex Variables
Druh dokumentu:	Working Paper
Popis:	It is known that if $f$ is an analytic self map of the complex upper half-plane which also maps $\mathbb{R}\cup\{\infty\}$ to itself, and $f(i)=i$, then $f$ preserves the Cauchy distribution. This note concerns three results related to the above fact.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1908.04006 Zobrazit plný text záznamu View this record from Arxiv