The Weibull distribution with scale parameterb > 0 and shape parameter a > 0 is defined by the integral
The inverse Weibull distribution function
Evaluate
WeibullInv
.73;.5,.3
= .3
ln
= .51431
WeibullDist
.51431;.5,.3
= 1 - e-.51431.5.3-.5 = .73
The following plots show cumulative distribution functions
WeibullDist
x;a, b
and density functions
WeibullDen(x;a, b),
for the parameters
(a, b) = (.5, 1),(1, 1),
(3,.5),(3, 1) and
0≤x≤3.