# Statistical Inference and Hypothesis Testing (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 66 - 71 of 222

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## Question number: 66

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

MCQ▾

### Question

Under certain regularity conditions, a maximum likelihood estimator is ________ distributed.

### Choices

Choice (4) Response

a.

Asymptotically Poisson

b.

Uniformly

c.

Asymptotically Normally

d.

Question does not provide sufficient data or is vague

## Question number: 67

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

MCQ▾

### Question

Which of the following are the methods of Estimation?

### Choices

Choice (4) Response

a.

Method of Minimum Chi-square

b.

Method of Maximum Likelihood Estimation

c.

Method of Minimum Variance

d.

All a. , b. and c. are correct

## Question number: 68

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

MCQ▾

### Question

In sampling from a normal population, MLE () is the

### Choices

Choice (4) Response

a.

Most efficient estimator

b.

Consistent estimator

c.

Unbiased estimator

d.

All a. , b. and c. are correct

## Question number: 69

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

MCQ▾

### Question

In a random sampling from Normal population suppose the MLE of mean is , then simultaneous estimation of is

### Choices

Choice (4) Response

a.

Biased

b.

Unbiased

c.

Consistent and unbiased

d.

Consistent and not unbiased

## Question number: 70

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

MCQ▾

### Question

If a sufficient estimator exists, then it will be a function of the ________ Estimator.

### Choices

Choice (4) Response

a.

Consistent

b.

Maximum Likelihood

c.

Unbiased

d.

All of the above

## Question number: 71

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

MCQ▾

### Question

Uniformly minimum-variance unbiased estimator (UMVUE) or minimum-variance unbiased estimator (MVUE) is an unbiased estimator that has ________ than any other unbiased estimator for all possible values of the parameter.

### Choices

Choice (4) Response

a.

Maximum variance

b.

Minimum variance

c.

zero variance

d.

None of the above

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