Statistical Inference and Hypothesis Testing-Minimum Variance Unbiased Estimators (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 5 - 7 of 15

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Question number: 5

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 6

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

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.

Minimum variance

c.

zero variance

d.

None of the above

Question number: 7

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

MCQ▾

Question

Which of the following results are true for Minimum Variance Unbiased Estimator (MVUE) -

Choices

Choice (4) Response

a.

If Equation nd Equation are MVUE of Equation and Equation then Equation will be an MVUE of Equation

b.

The correlation coefficient between a most efficient estimator and any other estimator with efficiency Equation is Equation .

c.

MVUE is unique

d.

All a. , b. and c. are correct

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