I have the 50 and 90 percent quantile of a Weibull distribution. Is it possible to get the shape and scale parameter just with this information?
Mathematically I have this formula for calculating the Weibull quantiles :
q(p,k,A) = A(-ln(1-p))^(1/k)
then I have the
q value for
p = 0.5 and
q50 = A(-ln(1-0.5))^(1/k) q90 = A(-ln(1-0.9))^(1/k)
k parameter that I could get from this set of equations would be the correct and unique answer?