Let (X,..., Xn) be a random sample of random variables with EX 1; (ii) any estimator...

Transcribed Image Text:

Let (X₁,..., Xn) be a random sample of random variables with EX <∞o. Consider estimating µ = EX₁ under the squared error loss. Show that (i) any estimator of the form aX+b is inadmissible, where X is the sample mean, a and b are constants, and a > 1; (ii) any estimator of the form X + b is inadmissible, where b ‡ 0 is a constant. Let (X₁,..., Xn) be a random sample of random variables with EX <∞o. Consider estimating µ = EX₁ under the squared error loss. Show that (i) any estimator of the form aX+b is inadmissible, where X is the sample mean, a and b are constants, and a > 1; (ii) any estimator of the form X + b is inadmissible, where b ‡ 0 is a constant.

Answer rating: 100% (QA)

Introductim In this problem we have to show that i any estimator of the form a b is ma... View the full answer