In: Statistics and Probability
Let
Y1, ..., Yn be a random sample with the pdf:
f(y;θ)= θ(1-y)^(θ-1) with θ>0 and...
Let
Y1, ..., Yn be a random sample with the pdf:
f(y;θ)= θ(1-y)^(θ-1) with θ>0 and 0<y<1.
i) Obtain the minimum variance unbiased estimator ( for
θ)