An estimator $\hat { \mu } _ { r }$ of the population value $\mu _ { Y }$ is more efficient when compared to another estimator $\tilde { \mu } _ { Y }$ , if A) $E \left( \hat { \mu } _ { Y } \right) E \left( \tilde { \mu } _ { Y } \right)$ B) it has a smaller variance. C) its c.d.f. is flatter than that of the other estimator. D) both estimators are unbiased, and $\operatorname { var } \left( \hat { \mu } _ { Y } \right)

Question

An estimator $\hat { \mu } _ { r }$ of the population value $\mu _ { Y }$  is more efficient when compared to another estimator $\tilde { \mu } _ { Y }$ , if
A) $E \left( \hat { \mu } _ { Y } \right) > E \left( \tilde { \mu } _ { Y } \right)$
B) it has a smaller variance.
C) its c.d.f. is flatter than that of the other estimator.
D) both estimators are unbiased, and $\operatorname { var } \left( \hat { \mu } _ { Y } \right) < \operatorname { var } \left( \tilde { \mu } _ { Y } \right)$

Quizplus · Accepted Answer

The Answer is D

An Estimator μ^r\hat { \mu } _ { r }μ^​r​ Of the Population Value

An Estimator $\hat { \mu } _ { r }$ Of the Population Value