ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 78 - 83 of 253

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Question number: 78

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

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MCQ▾

Question

An unbiased estimator of is the Minimum Variance Unbiased Estimator (MVUE) estimator if ________. Where is any other unbiased estimator of .

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 79

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

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MCQ▾

Question

Maximum Likelihood Estimator (MLE) is the same regardless of whether we maximize the likelihood or the log-likelihood function. This statement is

Choices

Choice (4)Response

a.

True only if L < 0

b.

True

c.

False

d.

None of the above

Question number: 80

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

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MCQ▾

Question

MLE’s are always consistent estimators. This Theorem is known as

Choices

Choice (4)Response

a.

Cramer-Rao Theorem

b.

Baye’s Theorem

c.

Hazoor Bazar’s Theorem

d.

Rao-Blackwell Theorem

Question number: 81

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

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MCQ▾

Question

If MLE exists, it is the most efficient in the class of such estimators.

Choices

Choice (4)Response

a.

True only for some distributions

b.

False

c.

True

d.

All of the above

Question number: 82

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

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MCQ▾

Question

The MLE of the parameter α of the distribution ‎ is given by

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 83

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

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MCQ▾

Question

Consider a function of the sample values. is said to be Maximum Likelihood Estimator (MLE) if

Choices

Choice (4)Response

a.

b.

c.

d.

Question does not provide sufficient data or is vague

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