# Statistical Inference and Hypothesis Testing-Estimation Methods of Maximum Likelihood (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 1 - 5 of 35

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## Question number: 1

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

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.

None of the above

## Question number: 2

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

MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

Variance is Unbiased

b.

Mean is biased

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

MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

False

b.

True

c.

Always Unbiased estimators

d.

Question does not provide sufficient data or is vague

## Question number: 4

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

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

MCQ▾

### Question

The estimate of the of a population having density function

is

### Choices

Choice (4) Response

a.

Not an Unbiased estimate of

b.

Unbiased estimate of

c.

Unbiased estimate of

d.

Question does not provide sufficient data or is vague

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