_________ is an estimate expressed by a single value?
A. C.I.
B. Point estimator
C. Parameter
D. Point estimate
Statistical Inference Mcqs
x=40 is estimator of _________________?
x=40 is estimator of _________________?
A. (U)
B. 6
C. Ux
D. 6/√n
Sample variance S2 is unbiased estimator of population variance 26 because ________________?
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
Sample proportion P is __________ estimator?
Sample proportion P is __________ estimator?
A. Biased
B. Parameter
C. Unbiased
D. None of these
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