What are examples of Unimodal Symmetric probability density functions that are not Gaussian ?
I searched online and found this article: https://en.wikipedia.org/wiki/Unimodality
This article gives 4 examples:
- chi-squared distribution
- exponential distribution
But chi-squared and exponential are not symmetric. The student-t distribution looks exactly like a Gaussian.
The only one that seems to be non Gaussian and symmetric is Cauchy. But the this article says it is a ratio of two normal random variables.
So I'm wondering if there are any unimodal symmetric distributions that have nothing to do with Gaussian (or normal) distributions?