# Statistical Inference and Hypothesis Testing (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 46 - 50 of 222

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## Question number: 46

» 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

## Question number: 47

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

MCQ▾

### Question

The equation of Maximum Likelihood Estimator (MLE) is given by

### Choices

Choice (4) Response

a.

b.

c.

d.

Question does not provide sufficient data or is vague

## Question number: 48

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

MCQ▾

### Question

MLE’s are ________ consistent estimators.

### Choices

Choice (4) Response

a.

Not

b.

Always

c.

May be

d.

None of the above

## Question number: 49

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

MCQ▾

### Question

Consider a population having the density function . Maximum Likelihood Estimators MLE of the parameter is given by

### Choices

Choice (4) Response

a.

b.

c.

x

d.

## Question number: 50

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

MCQ▾

### Question

Let be a sample of independent observations from the uniform distribution on (θ, θ+1), where the value of the parameter is unknown Then the maximum Likelihood Estimator of θ is

### Choices

Choice (4) Response

a.

Not unique

b.

c.

Unique

d.

None of the above

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