Statistical Inference and Hypothesis Testing (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 197 - 201 of 222

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Question number: 197

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

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 Unbiased

b.

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

c.

A MLE is not necessarily unique

d.

All a. , b. and c. are correct

Question number: 198

» Statistical Inference and Hypothesis Testing » Moments and Least Squares

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Method of Least squares

b.

Method of moments

c.

Method of minimum chi-square method

d.

Method of minimum Variance

Question number: 199

» Statistical Inference and Hypothesis Testing » Sufficient Estimator

MCQ▾

Question

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

Choices

Choice (4) Response

a.

If it converges to the parameter in probability

b.

Contains all the information in the sample regarding the parameter.

c.

Contains no information in the sample regarding the parameter

d.

Question does not provide sufficient data or is vague

Question number: 200

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

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.

22 percent

b.

360 percent

c.

64 percent

d.

157 percent

Question number: 201

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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