# Statistical Inference and Hypothesis Testing-Estimation Methods of Maximum Likelihood (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 1 - 6 of 35

Access detailed explanations (illustrated with images and videos) to 253 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. Unlimited Access for Unlimited Time!

View Sample Explanation or View Features.

Rs. 200.00 or

How to register?

## Question number: 1

» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood

Edit
MCQ▾

### Question

If T is the MLE of and is one to one function of , then is the MLE of . This is known as the

### Choices

Choice (4)Response

a.

Asymptotic Normality of MLE

b.

Consistency property of MLE

c.

Invariance property of MLE

d.

All of the above

## Question number: 2

» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood

Edit
MCQ▾

### Question

In a random sampling from Normal population the likelihood estimators of mean and variance are

### Choices

Choice (4)Response

a.

Variance is biased

b.

Mean is unbiased

c.

Both a. and b. are correct

d.

Question does not provide sufficient data or is vague

## Question number: 3

» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood

Edit
MCQ▾

### Question

MLE’s are always consistent and unbiased estimators. This statement is

### Choices

Choice (4)Response

a.

True

b.

False

c.

Always Unbiased estimators

d.

None of the above

## Question number: 4

» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood

Edit
MCQ▾

### Question

In a random sampling from Normal population the Maximum Likelihood estimator for is

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 5

» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood

Edit
MCQ▾

### Question

The estimate of the of a population having density function

is

### Choices

Choice (4)Response

a.

Unbiased estimate of

b.

Not an Unbiased estimate of

c.

Unbiased estimate of

d.

All of the above

## Question number: 6

» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood

Edit
MCQ▾

### Question

The equation of Maximum Likelihood Estimator (MLE) is given by

### Choices

Choice (4)Response

a.

b.

c.

d.

All of the above

Developed by: