Statistical Inference and Hypothesis Testing-Minimum Variance Unbiased Estimators (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 5 - 7 of 15

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Question number: 5

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

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Question

A statistic is MVUE of if ………. where is any other unbiased estimator of

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 6

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

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Uniformly minimum-variance unbiased estimator (UMVUE) or minimum-variance unbiased estimator (MVUE) is an unbiased estimator that has ________ than any other unbiased estimator for all possible values of the parameter.

Choices

Choice (4) Response

a.

Maximum variance

b.

zero variance

c.

Minimum variance

d.

Question does not provide sufficient data or is vague

Question number: 7

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

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Question

Which of the following results are true for Minimum Variance Unbiased Estimator (MVUE) -

Choices

Choice (4) Response

a.

If nd are MVUE of and then will be an MVUE of

b.

MVUE is unique

c.

The correlation coefficient between a most efficient estimator and any other estimator with efficiency is .

d.

All a. , b. and c. are correct

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