# ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 79 - 85 of 253

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## Question 79

### Question

MCQ▾

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.

True only if L < 0

b.

True

c.

False

d.

None of the above

## Question 80

### Question

MCQ▾

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

### Choices

Choice (4)Response

a.

Cramer-Rao Theorem

b.

Baye՚s Theorem

c.

Hazoor Bazar՚s Theorem

d.

Rao-Blackwell Theorem

## Question 81

### Question

MCQ▾

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.

All of the above

## Question 82

### Question

MCQ▾

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

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 83

### Question

MCQ▾

Consider a function of the sample values. is said to be Maximum Likelihood Estimator (MLE) if

### Choices

Choice (4)Response

a.

b.

c.

d.

Question does not provide sufficient data or is vague

## Question 84

### Question

MCQ▾

The maximum Likelihood Estimator of θ in is

### Choices

Choice (4)Response

a.

Does not exists

b.

c.

d.

Question does not provide sufficient data or is vague

## Question 85

### Question

MCQ▾

The principle of Maximum Likelihood consists of finding an estimator, which ________ the likelihood function.

### Choices

Choice (4)Response

a.

Maximizes or Minimizes

b.

Maximizes

c.

Minimizes

d.

Question does not provide sufficient data or is vague