Suppose that (x1…..xn ) is a sample from an distribution, where is unknown. Derive a UMVU estimator of the first quartile

Suppose that (x1…..xn ) is a sample from an distribution, where is unknown.
Derive a UMVU estimator of the first quartile
Solution
An estimator T(X) of θ is said to be UMVUE if and only if T(X) is unbiased and Var (T(X)) ≤
Var(U(X)) for any P ∈ P and any other unbiased estimator U(X) of θ
Let us consider the parameter...