Statistical Inference Mcqs
Statistical Inference Mcqs, this topic has 70 mcqs, It takes five to ten minutes to complete this free Statistical Inference Mcqs test. You will see 4 or 5 option of each question. You must choose / think only one option and then press on answer key for check right answer. Practice "Statistical Inference Mcqs" MCQs and share with your friends, brothers, sisters.
Statistical Inference Mcqs (Total Quiz: 70)
MCQ: An estimator Q is an unbiased estimator of the population parameter Q if ___________________?
- E(x) = µ
- E(Q) =Q
- E(Q) =Q
- E(P) = P
B
MCQ: 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?
- Posterior Bay’s estimator
- Minimax estimator
- Bay’s estimator
- Sufficient estimator
A
MCQ: 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 ?
- Consistent estimator
- Admissible estimator
- Sufficient estimator
- Minimax estimator
B
MCQ: A test is said to be most powerful test of size α, if_______________?
- Among all other test of size α or less it has the largest power
- Among all other test of size α or greater it has the largest 1 – α
- Among all other test of size α or greater it has the smallest power
- Among all other test of size α or greater it has the largest β
A
MCQ: 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______________?
- Unbiased
- Sufficient
- Consistent
- Efficient
B
MCQ: A set of jointly sufficient statistic is defined to be minimal sufficient if and only if_______________?
- It is a function of some other set of sufficient statistics.
- It is a function of every other set of sufficient
- It is a function of any sufficient statistics in the set.
- It is not a function of every other set of sufficient statistics.
B
MCQ: For a biased estimator θˆ of θ, which one is correct_______________?
- MSE(θˆ)=SD(θˆ)+Bias
- MSE(θˆ)=Var(θˆ)+Bias2
- MSE(θˆ)=SD(θˆ)+Bias2
- MSE(θˆ)=Var(θˆ)+Bias
B