Statistical Inference and Hypothesis Testing-Minimum Variance Unbiased Estimators (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 11 - 13 of 15

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Question number: 11

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

MCQ▾

Question

If Equation and Equation are two unbiased estimators of Equation based on the random sample Equation , then Equation is said to be UMVUE if and only if

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 12

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

MCQ▾

Question

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

Equation all Equation

Choices

Choice (4) Response

a.

Equation for all Equation

b.

Equation for all Equation

c.

Equation Equation for all Equation

d.

Equation for all Equation

Question number: 13

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Neither (i) nor (ii)

d.

Question does not provide sufficient data or is vague

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