In some work I was doing I derived a probability distribution that I do not recognize. Is it a known distribution?
$\Pr(X\le x)=\exp\left[\frac{1}{2}\left(\frac{1}{2}x\sqrt{1+\frac{x^{2}}{4}}\right)^{2}\right]$
In some work I was doing I derived a probability distribution that I do not recognize. Is it a known distribution? $\Pr(X\le x)=\exp\left[\frac{1}{2}\left(\frac{1}{2}x\sqrt{1+\frac{x^{2}}{4}}\right)^{2}\right]$ 

