skewness_poisson SciMax Toolbox skewness_student_t

SciMax Toolbox >> skewness_rayleigh

skewness_rayleigh

Maxima Function

Calling Sequence

skewness_rayleigh (b)

Description

Returns the skewness coefficient of a Rayleigh(b) random variable, with b>0.

The Rayleigh(b) random variable is equivalent to the Weibull(2,1/b), therefore when Maxima has not enough information to get the result, a noun form based on the Weibull skewness coefficient is returned.

(%i1) load (distrib)$
(%i2) skewness_rayleigh(b);
                                         1
(%o2)                skewness_weibull(2, -)
                                         b
(%i3) assume(b>0)$ skewness_rayleigh(b);
                         3/2
                      %pi      3 sqrt(%pi)
                      ------ - -----------
                        4           4
(%o4)                 --------------------
                               %pi 3/2
                          (1 - ---)
                                4
skewness_poisson SciMax Toolbox skewness_student_t