ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 218 - 222 of 253

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Question number: 218

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

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MCQ▾

Question

An estimator is considered to be the best if its distribution is

Choices

Choice (4)Response

a.

Concentrated about the true parameter value

b.

Continuous

c.

Normal

d.

Discrete

Question number: 219

» Statistical Inference and Hypothesis Testing » Sufficient Estimator

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MCQ▾

Question

If a statistic provides as much information as the random variable could provide, Then T is a ________ Statistic

Choices

Choice (4)Response

a.

Sufficient

b.

Consistent

c.

Unbiased

d.

Efficient

Question number: 220

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

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MCQ▾

Question

Confidence intervals for the parameters , of the Normal distribution having density function , in case of unknown variance , is given by

Choices

Choice (4)Response

a.

b.

c.

d.

All of the above

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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MCQ▾

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

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