std_poisson SciMax Toolbox std_student_t

SciMax Toolbox >> std_rayleigh

std_rayleigh

Maxima Function

Calling Sequence

std_rayleigh (b)

Description

Returns the standard deviation 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 standard deviation is returned.

(%i1) load (distrib)$
(%i2) std_rayleigh(b);
                                       1
(%o2)                   std_weibull(2, -)
                                       b
(%i3) assume(b>0)$ std_rayleigh(b);
                                   %pi
                          sqrt(1 - ---)
                                    4
(%o4)                     -------------
                                b
std_poisson SciMax Toolbox std_student_t