The skewness computed is \(g_{1}\). The parameter skewness \(\gamma_{2}\)
formula is
$$\gamma_{2} = \frac{\mu_{3}}{\mu^{3/2}_{2}},$$
where \(\mu_{i}\) denotes the \(i\) order central moment.
The excessive kurtosis formula for sample statistic \(g_{2}\) is
$$g_{2} = \frac{k_{3}}{k^{2}_{2}},$$
where \(k_{i}\) are the \(i\) order k-statistic.
The standard error of the skewness is
$$Var(\hat{g}_2) = \frac{6}{N}$$
where \(N\) is the sample size.