Statistical Inference and Hypothesis Testing-Minimum Variance Unbiased Estimators (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 1 - 3 of 15

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Question number: 1

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

MCQ▾

Question

If Eθ(T)=γ(θ)andVARθ(T)VARθ(Tʹ)forallθΘ

Where (Tʹ) is any other unbiased estimator of (θ) . Then the statistic T is known as

Choices

Choice (4) Response

a.

Minimum Variance Unbiased Estimator (MVUE)

b.

Sufficient Estimator

c.

Efficient Estimator

d.

Consistent Estimator

Question number: 2

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

MCQ▾

Question

An unbiased estimator T(x) of γ(θ) is the Minimum Variance Unbiased Estimator (MVUE) estimator if ________. Where Tʹ is any other unbiased estimator of γ(θ) .

Choices

Choice (4) Response

a.

VARθ(T(x))VARθ(Tʹ(x))forallθΘ

b.

VARθ(T(x))VARθ(Tʹ(x))forallθΘ

c.

VARθ(T(x))VARθ(Tʹ(x))forallθΘ

d.

VARθ(T(x))=1VARθ(Tʹ(x))forallθΘ

Question number: 3

» 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

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