cdf_rank_sum SciMax Toolbox cdf_signed_rank

SciMax Toolbox >> cdf_rayleigh

cdf_rayleigh

Maxima Function

Calling Sequence

cdf_rayleigh (x,b)

Description

Returns the value at x of the distribution 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 distribution is returned.

(%i1) load (distrib)$
(%i2) cdf_rayleigh(x,b);
                                        1
(%o2)                 cdf_weibull(x, 2, -)
                                        b
(%i3) assume(x>0,b>0)$ cdf_rayleigh(x,b);
                                   2  2
                                - b  x
(%o4)                     1 - %e
cdf_rank_sum SciMax Toolbox cdf_signed_rank