skewness_binomial SciMax Toolbox skewness_continuous_uniform

SciMax Toolbox >> skewness_chi2

skewness_chi2

Maxima Function

Calling Sequence

skewness_chi2 (n)

Description

Returns the skewness coefficient of a Chi-square random variable Chi^2(n), with n>0.

The Chi^2(n) random variable is equivalent to the Gamma(n/2,2), therefore when Maxima has not enough information to get the result, a noun form based on the gamma skewness coefficient is returned.

(%i1) load (distrib)$
(%i2) skewness_chi2(n);
                                     n
(%o2)                 skewness_gamma(-, 2)
                                     2
(%i3) assume(n>0)$ skewness_chi2(n);
                            2 sqrt(2)
(%o4)                       ---------
                             sqrt(n)
skewness_binomial SciMax Toolbox skewness_continuous_uniform