ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 135 - 139 of 253

Access detailed explanations (illustrated with images and videos) to 253 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. Subscription can be renewed yearly absolutely FREE! View Sample Explanation or View Features.

Rs. 200.00 or

How to register?

Question number: 135

» Statistical Inference and Hypothesis Testing » Optimal Properties of Maximum Likelihood Estimators

Edit
MCQ▾

Question

Which of the following properties of MLE is not correct?

Choices

Choice (4) Response

a.

MLE is always unique

b.

If a sufficient statistic exists, it is a function of the Maximum Likelihood estimators.

c.

If a minimum variance bound (MVB) unbiased estimator exists, maximum likelihood estimator provides it.

d.

When maximum likelihood estimators exists, it is most efficient for large samples under the assumptions that the distribution of the estimators tends to normal.

Question number: 136

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

Edit
MCQ▾

Question

It is given that sample size , sample mean and sample standard deviation . Then 95 % Confidence Interval would be

Choices

Choice (4) Response

a.

b.

c.

d.

None of the above

Question number: 137

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

Edit
MCQ▾

Question

It is given that , and . Then the 95 % Confidence Interval for is

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 138

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

Edit
MCQ▾

Question

If and are two estimators for , such that and , then

Choices

Choice (4) Response

a.

b.

c.

Either or

d.

None of the above

Question number: 139

» Statistical Inference and Hypothesis Testing » Moments and Least Squares

Edit
MCQ▾

Question

Generally the estimators obtained by the method of moments as compared to Maximum Likelihood estimators are:

Choices

Choice (4) Response

a.

Equally Efficient

b.

More Efficient

c.

Less Efficient

d.

All of the above