Statistical Inference and Hypothesis Testing (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 62 - 65 of 222

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Question number: 62

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

MCQ▾

Question

A statistic is called as Minimum Variance Unbiased Estimator (MVUE) if

Choices

Choice (4) Response
a.

If it has the minimum variance among the class of all unbiased estimators

b.

If it has the maximum variance among the class of all unbiased estimators

c.

It is Unbiased

d. Both a. and c. are correct

Question number: 63

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

MCQ▾

Question

Minimum Variance Unbiased Estimator (MVUE) is________

Choices

Choice (4) Response
a.

Not unique

b.

Unique

c. Question does not provide sufficient data or is vague
d. None of the above

Question number: 64

» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood

MCQ▾

Question

In a random sampling from Normal population N(μ,σ2), suppose the MLE of mean is μ^=x¯ is given then MLE of σ2 is

Choices

Choice (4) Response
a.

MLE(σ2)=σ2

b.

MLE(σ2)=2σ2

c.

MLE(σ2)=1nσ2

d.

MLE(σ2)=s2(samplevariance)

Question number: 65

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

MCQ▾

Question

A statistic T=(x1,x1,,xn) is MVUE of γ(θ) if ………. where Tʹ is any other unbiased estimator of γ(θ)

Choices

Choice (4) Response
a.

Eθ(T)>γ(θ)andVARθ(T)=VARθ(Tʹ)forallθΘ

b.

Eθ(T)=γ(θ)andVARθ(T)VARθ(Tʹ)forallθΘ

c.

Eθ(T)=γ(θ)andVARθ(T)VARθ(Tʹ)forallθΘ

d.

Eθ(T)=γ(θ)andVARθ(T)VARθ(Tʹ)forallθΘ

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