If there are two unbiased estimators of a population parameter available,the one that has the smallest variance is said to be:
A)a biased estimator.
B)relatively efficient.
C)consistent.
D)relatively unbiased.

Question

Quizplus · Accepted Answer

The estimator with the smallest variance is said to be relatively efficient as it provides more precise or accurate estimates compared to the other estimator. This has nothing to do with bias or consistency, so option A and C are incorrect. Option D, relatively unbiased, is not a commonly used term.

If There Are Two Unbiased Estimators of a Population Parameter