# ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 72 - 78 of 253

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## Question 72

### Question

MCQ▾

MLE՚s are ________ consistent estimators.

### Choices

Choice (4)Response

a.

Not

b.

May be

c.

Always

d.

All of the above

## Question 73

### Question

MCQ▾

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

### Choices

Choice (4)Response

a.

b.

c.

d.

x

## Question 74

### Question

MCQ▾

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.

Unique

b.

c.

Not unique

d.

None of the above

## Question 75

### Question

MCQ▾

In a random sampling from Normal population the Maximum Likelihood estimator for, is

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 76

### Question

MCQ▾

Maximum Likelihood Estimators (MLE) of the parameter λ of a Poisson distribution is

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 77

### Question

MCQ▾

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 78

### Question

MCQ▾

An unbiased estimator of is the Minimum Variance Unbiased Estimator (MVUE) estimator if ________. Where is any other unbiased estimator of .

### Choices

Choice (4)Response

a.

b.

c.

d.