ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 90 - 95 of 253

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Question number: 90

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

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MCQ▾

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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MCQ▾

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

Question number: 94

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

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MCQ▾

Question

If a sufficient estimator exists, then it will be a function of the ________ Estimator.

Choices

Choice (4)Response

a.

Maximum Likelihood

b.

Unbiased

c.

Consistent

d.

All of the above

Question number: 95

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

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MCQ▾

Question

Uniformly minimum-variance unbiased estimator (UMVUE) or minimum-variance unbiased estimator (MVUE) is an unbiased estimator that has ________ than any other unbiased estimator for all possible values of the parameter.

Choices

Choice (4)Response

a.

Maximum variance

b.

zero variance

c.

Minimum variance

d.

Question does not provide sufficient data or is vague

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