mean_poisson SciMax Toolbox mean_student_t

SciMax Toolbox >> mean_rayleigh

mean_rayleigh

Maxima Function

Calling Sequence

mean_rayleigh (b)

Description

Returns the mean 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 mean is returned.

(%i1) load (distrib)$
(%i2) mean_rayleigh(b);
                                       1
(%o2)                  mean_weibull(2, -)
                                       b
(%i3) assume(b>0)$ mean_rayleigh(b);
                            sqrt(%pi)
(%o4)                       ---------
                               2 b
mean_poisson SciMax Toolbox mean_student_t