ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 89 - 93 of 253

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Question number: 89

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

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MCQ▾

Question

A statistic is MVUE of if ………. where is any other unbiased estimator of

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 90

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

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Question

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

Choices

Choice (4) Response

a.

Uniformly

b.

Asymptotically Normally

c.

Asymptotically Poisson

d.

None of the above

Question number: 91

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

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Question

Which of the following are the methods of Estimation?

Choices

Choice (4) Response

a.

Method of Minimum Variance

b.

Method of Maximum Likelihood Estimation

c.

Method of Minimum Chi-square

d.

All a. , b. and c. are correct

Question number: 92

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

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MCQ▾

Question

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

Choices

Choice (4) Response

a.

Consistent estimator

b.

Most efficient estimator

c.

Unbiased estimator

d.

All a. , b. and c. are correct

Question number: 93

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

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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.

Consistent and not unbiased

c.

Unbiased

d.

Consistent and unbiased