quantile_poisson SciMax Toolbox quantile_student_t

SciMax Toolbox >> quantile_rayleigh

quantile_rayleigh

Maxima Function

Calling Sequence

quantile_rayleigh (q,b)

Description

Returns the q-quantile of a Rayleigh(b) random variable, with b>0; in other words, this is the inverse of cdf_rayleigh. Argument q must be an element of [0,1].

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 quantile is returned.

(%i1) load (distrib)$
(%i2) quantile_rayleigh(0.99,b);
                                            1
(%o2)             quantile_weibull(0.99, 2, -)
                                            b
(%i3) assume(x>0,b>0)$ quantile_rayleigh(0.99,b);
                        2.145966026289347
(%o4)                   -----------------
                                b
quantile_poisson SciMax Toolbox quantile_student_t