I have a realized dataset of random sample Y1 + Y2 ... + Yn from Exp($\lambda$) distribution. I want to estimate: $\mu$ = 1/$\lambda$
T = n * P where P is min for (Y1, Y2 ... , Yn) and is unbiased estimator for $\mu$ = 1/$\lambda$
How can I calculate Var(T) that is needed to calculate MSE(T)?