ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 221 - 225 of 253

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Question number: 221

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

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MCQ▾

Question

What properties of estimators are usually held by Maximum Likelihood estimators (MLE’s)?

Choices

Choice (4) Response

a.

A MLE is not necessarily unique

b.

A MLE may not be uniformly minimum variance unbiased estimator (UMVUE)

c.

A MLE is not necessarily Unbiased

d.

All a. , b. and c. are correct

Question number: 222

» Statistical Inference and Hypothesis Testing » Moments and Least Squares

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Question

In estimating the parameters of a linear function, most commonly used method of estimation is

Choices

Choice (4) Response

a.

Method of minimum Variance

b.

Method of minimum chi-square method

c.

Method of moments

d.

Method of Least squares

Question number: 223

» Statistical Inference and Hypothesis Testing » Sufficient Estimator

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MCQ▾

Question

An estimator is said to be sufficient for a parameter , if it

Choices

Choice (4) Response

a.

Contains all the information in the sample regarding the parameter.

b.

If it converges to the parameter in probability

c.

Contains no information in the sample regarding the parameter

d.

All of the above

Question number: 224

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

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Question

Efficiency of sample median as compared to mean as an estimate of the mean of a normal population is:

Choices

Choice (4) Response

a.

157 percent

b.

360 percent

c.

22 percent

d.

64 percent

Question number: 225

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

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MCQ▾

Question

If is the most efficient estimator with variance and is any other estimator with variance , then the efficiency E of is defined as

Choices

Choice (4) Response

a.

b.

c.

d.