Sample proportion P is __________ estimator?
A. Biased
B. Parameter
C. Unbiased
D. None of these
Statistics Mcqs
An estimator Q is an unbiased estimator of the population parameter Q if ___________________?
An estimator Q is an unbiased estimator of the population parameter Q if ___________________?
A. E(x) = µ
B. E(Q) =Q
C. E(Q) =Q
D. E(P) = P
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?
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
If E(θˆ)=θ, then θˆ is said to be_______________?
If E(θˆ)=θ, then θˆ is said to be_______________?
A. Unbiased
B. Consistent
C. Sufficient
D. Efficient
if Var(T2)_______________?
if Var(T2)_______________?
A. Efficient
B. Sufficient
C. Unbiased
D. Consistent
for two estimators T1=t1(X1,X2,….Xn) and T1=t1(X1,X2,….Xn) then estimators t1 is defined to be Rt1(θ)≤Rt2(θ) for all θ in Θ ?
for two estimators T1=t1(X1,X2,….Xn) and T1=t1(X1,X2,….Xn) then estimators t1 is defined to be Rt1(θ)≤Rt2(θ) for all θ in Θ ?
A. Consistent estimator
B. Admissible estimator
C. Sufficient estimator
D. Minimax estimator
A test is said to be most powerful test of size α, if_______________?
A test is said to be most powerful test of size α, if_______________?
A. Among all other test of size α or less it has the largest power
B. Among all other test of size α or greater it has the largest 1 – α
C. Among all other test of size α or greater it has the smallest power
D. Among all other test of size α or greater it has the largest β
If the conditional distribution of X1,X2,…..Xn given S=s, does not depends on θ, for any value of S=s the statistics S=s(X1,X2,…..Xn) is called______________?
If the conditional distribution of X1,X2,…..Xn given S=s, does not depends on θ, for any value of S=s the statistics S=s(X1,X2,…..Xn) is called______________?
A. Unbiased
B. Sufficient
C. Consistent
D. Efficient
A set of jointly sufficient statistic is defined to be minimal sufficient if and only if_______________?
A set of jointly sufficient statistic is defined to be minimal sufficient if and only if_______________?
A. It is a function of some other set of sufficient statistics.
B. It is a function of every other set of sufficient
C. It is a function of any sufficient statistics in the set.
D. It is not a function of every other set of sufficient statistics.
For a biased estimator θˆ of θ, which one is correct_______________?
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