# 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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MCQ▾

### 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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MCQ▾

### Question

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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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

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