Maxima Function
kurtosis_bernoulli (p)
Returns the kurtosis coefficient of a Bernoulli(p) random variable, with 0<p<1.
The Bernoulli(p) random variable is equivalent to the Binomial(1,p), therefore when Maxima has not enough information to get the result, a noun form based on the binomial kurtosis coefficient is returned.
(%i1) load (distrib)$ (%i2) kurtosis_bernoulli(p); (%o2) kurtosis_binomial(1, p) (%i3) assume(0<p,p<1)$ kurtosis_bernoulli(p); 1 - 6 (1 - p) p (%o4) --------------- (1 - p) p