kurtosis_poisson SciMax Toolbox kurtosis_student_t

SciMax Toolbox >> kurtosis_rayleigh

kurtosis_rayleigh

Maxima Function

Calling Sequence

kurtosis_rayleigh (b)

Description

Returns the kurtosis 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 kurtosis coefficient is returned.

(%i1) load (distrib)$
(%i2) kurtosis_rayleigh(b);
                                         1
(%o2)                kurtosis_weibull(2, -)
                                         b
(%i3) assume(b>0)$ kurtosis_rayleigh(b);
                                  2
                             3 %pi
                         2 - ------
                               16
(%o4)                    ---------- - 3
                              %pi 2
                         (1 - ---)
                               4
kurtosis_poisson SciMax Toolbox kurtosis_student_t