# Statistical Inference and Hypothesis Testing-Minimum Variance Unbiased Estimators (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 12 - 15 of 15

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## Question number: 12

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

MCQ▾

### Question

If is an MVU estimator of for all and is any other unbiased estimator of with efficiency , then the correlation coefficient between is given by

all

### Choices

Choice (4) Response

a.

for all

b.

for all

c.

for all

d.

for all

## Question number: 13

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

MCQ▾

### Question

A Minimum Variance Unbiased Estimator is said to be unique if for any other estimator ,

### Choices

Choice (4) Response

a.

b.

c.

Neither (i) nor (ii)

d.

Question does not provide sufficient data or is vague

## Question number: 14

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

MCQ▾

### Question

If and are two Minimum Variance Unbiased (MVU) estimators for then

### Choices

Choice (4) Response

a.

Either or

b.

c.

d.

Question does not provide sufficient data or is vague

## Question number: 15

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

MCQ▾

### Question

If a most efficient estimator and a less efficient estimator with efficiency tend to joint normality for large samples, has ________ correlation with

### Choices

Choice (4) Response

a.

No correlation

b.

Zero

c.

Negative

d.

Question does not provide sufficient data or is vague

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