An estimator Q is an unbiased estimator of the population parameter Q if ___________________?

Related Mcqs:

1. Since E(X) _______X is said to be unbiased estimator of the population mean?

   A. Q
   B. X
   C. Ux
   D. u

2. Sample variance S2 is unbiased estimator of population variance 26 because ________________?

   A. E(S2) = s2
   B. E(u) = X
   C. E(P) = P
   D. Ux = u

3. The minimum variance unbiased estimator of the population mean is _______________?

   A. 6/√n
   B. S/√n
   C. S2/n
   D. 6x/√n

4. A_______ is the specific value of the statistic used to estimate the population parameter?

   A. Point estimator
   B. C.I.
   C. Estimator
   D. None of these

5. Criteria to check a point estimator to be good are_____________?

   A. Consistency
   B. All Above
   C. Unbiasedness
   D. Efficiency

6. Consistency of an estimator can be checked by comparing____________?

   A. Standard Deviation
   B. Mean
   C. mean Square Error
   D. Variance

7. For a biased estimator θˆ of θ, which one is correct_______________?

   A. MSE(θˆ)=SD(θˆ)+Bias
   B. MSE(θˆ)=Var(θˆ)+Bias2
   C. MSE(θˆ)=SD(θˆ)+Bias2
   D. MSE(θˆ)=Var(θˆ)+Bias

8. Let X1,X2,……,Xn be a random sample from a density,,,, f(x ι θ) where θ is a value of the random variable Θwith known density gΘ(θ) Then the estimator ∏(θ) with…/ respect to the prior gΘ(θ) is define as_________________E[∏(θ)ιX1,X2,…..,Xn] is called?

   A. Posterior Bay’s estimator
   B. Minimax estimator
   C. Bay’s estimator
   D. Sufficient estimator

9. Sample proportion P is __________ estimator?

   A. Biased
   B. Parameter
   C. Unbiased
   D. None of these

10. Let X1,X2,……,Xn be a random sample from a density,,,, f(x ι θ) where θ is a value of the random variable Θwith known density gΘ(θ) Then the estimator ∏(θ) with…/ respect to the prior gΘ(θ) is define as______________E[∏(θ)ιX1,X2,…..,Xn] is called?

    A. Posterior Bay’s estimator
    B. Minimax estimator
    C. Bay’s estimator
    D. Sufficient estimator