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Statistical Inference Mcqs

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?

Statistical Inference Mcqs, Statistics Mcqs /
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

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? Read More »

Statistical Inference Mcqs, Statistics Mcqs

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 ?

Statistical Inference Mcqs, Statistics Mcqs /
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

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 ? Read More »

Statistical Inference Mcqs, Statistics Mcqs

A test is said to be most powerful test of size α, if_______________?

Statistical Inference Mcqs, Statistics Mcqs /
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

A test is said to be most powerful test of size α, if_______________? Read More »

Statistical Inference Mcqs, Statistics Mcqs