pdf_rank_sum SciMax Toolbox pdf_signed_rank

SciMax Toolbox >> pdf_rayleigh

pdf_rayleigh

Maxima Function

Calling Sequence

pdf_rayleigh (x,b)

Description

Returns the value at x of the density function 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 density is returned.

(%i1) load (distrib)$
(%i2) pdf_rayleigh(x,b);
                                        1
(%o2)                 pdf_weibull(x, 2, -)
                                        b
(%i3) assume(x>0,b>0)$ pdf_rayleigh(x,b);
                                    2  2
                           2     - b  x
(%o4)                   2 b  x %e
pdf_rank_sum SciMax Toolbox pdf_signed_rank