Maxima Function
quantile_rayleigh (q,b)
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