Statistical Inference and Hypothesis Testing-Minimum Variance Unbiased Estimators [ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)]: Questions 7 - 10 of 15

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Question number: 7

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

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MCQ▾

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

Question number: 8

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

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Question

If and are two estimators for , such that and , then

Choices

Choice (4)Response

a.

b.

c.

Either or

d.

None of the above

Question number: 9

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

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MCQ▾

Question

For a normal population , both sample mean and sample median are unbiased and consistent estimators of . In this case, which one will be the efficient estimator?

Choices

Choice (4)Response

a.

Sample median is more efficient estimator of than the sample mean

b.

Sample mean is more efficient estimator of than the sample median.

c.

Sample mean and Sample median are equally efficient

d.

All of the above

Question number: 10

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

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Question

Suppose are the unbiased estimators of with Efficiencies and respectively. and is the correlation coefficient between them. Then

Choices

Choice (4)Response

a.

b.

c.

d.

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