Statistical Inference and Hypothesis Testing-Cramer-Rao Inequality (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 4 - 7 of 7

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Question number: 4

» Statistical Inference and Hypothesis Testing » Cramer-Rao Inequality

MCQ▾

Question

Cramer-Rao Inequality provides a ________ to the variance of an unbiased estimator for a parameter.

Choices

Choice (4) Response

a.

Lower bound

b.

Upper bound

c.

Upper bound and Lower bound

d.

All of the above

Question number: 5

» Statistical Inference and Hypothesis Testing » Cramer-Rao Inequality

MCQ▾

Question

Cramer-Rao inequality with regard to the variance of an estimator provides

Choices

Choice (4) Response

a.

Asymptotic variance of an estimator

b.

Upper bound on the variance

c.

Lower bond on the variance

d.

Question does not provide sufficient data or is vague

Question number: 6

» Statistical Inference and Hypothesis Testing » Cramer-Rao Inequality

MCQ▾

Question

The denominator in the Cramer-Rao inequality is known as

Choices

Choice (4) Response

a.

Upper bound of the Variance

b.

Lower Bound of the variance

c.

Information Limit

d.

None of the above

Question number: 7

» Statistical Inference and Hypothesis Testing » Cramer-Rao Inequality

MCQ▾

Question

Cramer-Rao Inequality provides a Lower bond to the variance of an ________ estimator for a parameter.

Choices

Choice (4) Response

a.

Unbiased

b.

Consistent

c.

Maximum Likelihood estimator

d.

Sufficient

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