Maxima Function
kurtosis_rayleigh (b)
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