var_poisson SciMax Toolbox var_student_t

SciMax Toolbox >> var_rayleigh

var_rayleigh

Maxima Function

Calling Sequence

var_rayleigh (b)

Description

Returns the variance 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 variance is returned.

(%i1) load (distrib)$
(%i2) var_rayleigh(b);
                                       1
(%o2)                   var_weibull(2, -)
                                       b
(%i3) assume(b>0)$ var_rayleigh(b);
                                 %pi
                             1 - ---
                                  4
(%o4)                        -------
                                2
                               b
var_poisson SciMax Toolbox var_student_t