
(a)  The sum of the weights


(b)  Mean


(c)  Standard deviation


(d)  Coefficient of skewness


(e)  Coefficient of kurtosis


(f)  Maximum and minimum elements of the sample.  
(g)  The number of observations for which ${w}_{i}>0$, i.e., the number of valid observations. Suppose $m$ observations are valid, then the quantities in (c), (d) and (e) will be computed if $m\ge 2$, and will be based on $m1$ degrees of freedom. The other quantities are evaluated provided $m\ge 1$. 
On entry,  ${\mathbf{N}}<1$. 