題組內容

3. (30%) Let X₁, X₂, ..., Xₙ be a random sample from Bernoulli(p). Define R(p, δ(X)) = Eₚ[(δ(X) - p)²] (the Mean-Square Error).

(b) \( (3\%) \) Find the uniformly minimum variance unbiased estimator (UMVUE) of \( p \)