Statistical Inference and Hypothesis Testing-Minimum Variance Unbiased Estimators (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 12 - 15 of 15

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Question number: 12

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

MCQ▾

Question

If is an MVU estimator of for all and is any other unbiased estimator of with efficiency , then the correlation coefficient between is given by

all

Choices

Choice (4) Response

a.

for all

b.

for all

c.

for all

d.

for all

Question number: 13

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

MCQ▾

Question

A Minimum Variance Unbiased Estimator is said to be unique if for any other estimator ,

Choices

Choice (4) Response

a.

b.

c.

Neither (i) nor (ii)

d.

Question does not provide sufficient data or is vague

Question number: 14

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

MCQ▾

Question

If and are two Minimum Variance Unbiased (MVU) estimators for then

Choices

Choice (4) Response

a.

Either or

b.

c.

d.

Question does not provide sufficient data or is vague

Question number: 15

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

MCQ▾

Question

If a most efficient estimator and a less efficient estimator with efficiency tend to joint normality for large samples, has ________ correlation with

Choices

Choice (4) Response

a.

No correlation

b.

Zero

c.

Negative

d.

Question does not provide sufficient data or is vague

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