# ISS Statistics Paper II (New 2016 MCQ Pattern): Questions 221 - 225 of 246

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## Question number: 221

MCQ▾

### Question

What properties of estimators are usually held by Maximum Likelihood estimators (MLE’s)?

### Choices

Choice (4) Response

a.

A MLE is not necessarily Unbiased

b.

A MLE may not be uniformly minimum variance unbiased estimator (UMVUE)

c.

A MLE is not necessarily unique

d.

All a. , b. and c. are correct

## Question number: 222

MCQ▾

### Question

In estimating the parameters of a linear function, most commonly used method of estimation is

### Choices

Choice (4) Response

a.

Method of Least squares

b.

Method of moments

c.

Method of minimum chi-square method

d.

Method of minimum Variance

## Question number: 223

MCQ▾

### Question

An estimator is said to be sufficient for a parameter, if it

### Choices

Choice (4) Response

a.

If it converges to the parameter in probability

b.

Contains all the information in the sample regarding the parameter.

c.

Contains no information in the sample regarding the parameter

d.

Question does not provide sufficient data or is vague

## Question number: 224

MCQ▾

### Question

Efficiency of sample median as compared to mean as an estimate of the mean of a normal population is:

### Choices

Choice (4) Response

a.

22 percent

b.

360 percent

c.

64 percent

d.

157 percent

## Question number: 225

MCQ▾

### Question

If is the most efficient estimator with variance and is any other estimator with variance , then the efficiency E of is defined as

### Choices

Choice (4) Response

a.

b.

c.

d.

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