I have a sample of n = 75 taken from a Weibull distribution and have computed mle estimates for the scale

The mean of a Weibull distribution (2 parameter) is given as

u = a^(-1/b)*gamma(1+ 1/b)

In which case I can find an estimate for u by simply plugging in the mle estimate for a and b.

But I am interested in finding a confidence interval for u, not just a point estimate, but I have have no information about the distribution of u or its point estimate.

Could anyone please help me out here, point me to some textbook/paper etc. , I can't find any information about this anywhere?

**a**and shape**b**parameter.The mean of a Weibull distribution (2 parameter) is given as

u = a^(-1/b)*gamma(1+ 1/b)

In which case I can find an estimate for u by simply plugging in the mle estimate for a and b.

But I am interested in finding a confidence interval for u, not just a point estimate, but I have have no information about the distribution of u or its point estimate.

Could anyone please help me out here, point me to some textbook/paper etc. , I can't find any information about this anywhere?

Last edited: