Verify that Theorem 4.1 holds for h(Xn:[np1]+1,... ,Xn:[npk]+1) where its gradient h ′ ξ exists. Consider the logistic distribution function F(x) = {1+e −(x−θ)} −1 , x ∈ R. Show that −f ′ (x)/f(x) =...

Verify that Theorem 4.1 holds for h(Xn:[np1]+1,... ,Xn:[npk]+1) where its gradient h ′ ξ exists.

Consider the logistic distribution function F(x) = {1+e −(x−θ)} −1 , x ∈ R. Show that −f ′ (x)/f(x) = 2F(x) − 1, x ∈ R. Find the asymptotically best linear unbiased estimator of θ.