I have an equation as follows
\begin{equation} \begin{alignedat}{1} \left(-\frac{\mu_2(\alpha)}{2}\right)^3+ \left(\frac{\mu_3(\alpha)}{2}\right)^2 \end{alignedat} \end{equation} where $\mu_2(\alpha)$ is the second central moment of a set of variables $\alpha$ and $\mu_3(\alpha)$ is the third central moment of the same set of variables. (This equation actually lives under a square root, but that may be irrelevant...)
I'm wondering if this is itself a statistic function?
I've tried relating it to the sixth central moment and kurtosis, but with no luck as yet.