# Statistical Inference and Hypothesis Testing-Estimation Methods of Maximum Likelihood (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 21 - 26 of 35

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## Question number: 21

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

MCQ▾

### Question

Under certain regularity conditions, a maximum likelihood estimator is ________ distributed.

### Choices

Choice (4) Response

a.

Asymptotically Poisson

b.

Uniformly

c.

Asymptotically Normally

d.

Question does not provide sufficient data or is vague

## Question number: 22

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

MCQ▾

### Question

Which of the following are the methods of Estimation?

### Choices

Choice (4) Response

a.

Method of Minimum Chi-square

b.

Method of Maximum Likelihood Estimation

c.

Method of Minimum Variance

d.

All a. , b. and c. are correct

## Question number: 23

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

MCQ▾

### Question

In sampling from a normal population, MLE () is the

### Choices

Choice (4) Response

a.

Most efficient estimator

b.

Consistent estimator

c.

Unbiased estimator

d.

All a. , b. and c. are correct

## Question number: 24

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

MCQ▾

### Question

In a random sampling from Normal population suppose the MLE of mean is , then simultaneous estimation of is

### Choices

Choice (4) Response

a.

Biased

b.

Unbiased

c.

Consistent and unbiased

d.

Consistent and not unbiased

## Question number: 25

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

MCQ▾

### Question

If a sufficient estimator exists, then it will be a function of the ________ Estimator.

### Choices

Choice (4) Response

a.

Consistent

b.

Maximum Likelihood

c.

Unbiased

d.

All of the above

## Question number: 26

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

MCQ▾

### Question

Maximum likelihood method, is the procedure of finding the value of one or more parameters for a given statistic which makes the ________

### Choices

Choice (4) Response

a.

Probability function a maximum

b.

Probability function a minimum

c.

Likelihood distribution a maximum

d.

Likelihood distribution a minimum

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