# Statistical Inference and Hypothesis Testing (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 55 - 60 of 222

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## Question number: 55

» 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: 56

» 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: 57

» 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: 58

» 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.

## Question number: 59

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

MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

b.

c.

d.

All of the above

## Question number: 60

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

MCQ▾

### Question

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

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