A complex comment!!!

]]>I mean that if are iid N(0,1) then the distribution of

is Cauchy with complex parameter )if No elegance indeed if not.

https://rpubs.com/FJRubio/RatioNormals

to illustrate the shapes of this density, and the cases where (and it what sense) it could be approximated with a normal distribution (https://link.springer.com/article/10.1007/s00362-012-0429-2).

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