# Statistical Inference and Hypothesis Testing-Estimation Methods of Maximum Likelihood (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 6 - 11 of 35

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## Question number: 6

» 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: 7

» 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: 8

» 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: 9

» 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

## Question number: 10

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

MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 11

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

MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

b.

c.

d.

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