An estimator $\hat { \mu }_Y$ of the population value $\mu_Y$ is more efficient when compared to another estimator $\bar { \mu }_Y$ , if A)E( $\hat { \mu }_y$ ) E( $\bar { \mu }_Y$ ). 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 var( $\hat { \mu }_Y$ )

Question

An estimator $\hat { \mu }_Y$ of the population value $\mu_Y$ is more efficient when compared to another estimator $\bar { \mu }_Y$ , if
A)E( $\hat { \mu }_y$ )> E( $\bar { \mu }_Y$ ).
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 var( $\hat { \mu }_Y$ )< var( $\bar { \mu }_y$ ).

Quizplus · Accepted Answer

The Answer is D

An Estimator μ^Y\hat { \mu }_Yμ^​Y​ Of the Population Value μY\mu_YμY​ Is More Efficient When Compared to Another Estimator

An Estimator $\hat { \mu }_Y$ Of the Population Value $\mu_Y$ Is More Efficient When Compared to Another Estimator