# Statistical Inference and Hypothesis Testing-Estimation Methods of Maximum Likelihood (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 12 - 16 of 35

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## Question number: 12

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

MCQ▾

### Question

A sample of size n is drawn from each of the four a normal populations which have the same variance . the means of the four populations are , , and . The MLE of is

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 13

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

MCQ▾

### Question

Maximum Likelihood Estimator (MLE) is the same regardless of whether we maximize the likelihood or the log-likelihood function. This statement is

### Choices

Choice (4) Response

a.

False

b.

True

c.

True only if L < 0

d.

Question does not provide sufficient data or is vague

## Question number: 14

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

MCQ▾

### Question

MLE’s are always consistent estimators. This Theorem is known as

### Choices

Choice (4) Response

a.

Rao-Blackwell Theorem

b.

Baye’s Theorem

c.

Hazoor Bazar’s Theorem

d.

Cramer-Rao Theorem

## Question number: 15

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

MCQ▾

### Question

If MLE exists, it is the most efficient in the class of such estimators.

### Choices

Choice (4) Response

a.

True only for some distributions

b.

False

c.

True

d.

None of the above

## Question number: 16

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

MCQ▾

### Question

The MLE of the parameter α of the distribution ‎ is given by

### Choices

Choice (4) Response

a.

b.

c.

d.

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