Statistical Inference and Hypothesis Testing (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 42 - 46 of 222

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Question number: 42

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

MCQ▾

Question

If Equation

WhereEquation is any other unbiased estimator of Equation . Then the statistic Equation is known as

Choices

Choice (4) Response

a.

Minimum Variance Unbiased Estimator (MVUE)

b.

Sufficient Estimator

c.

Efficient Estimator

d.

Consistent Estimator

Question number: 43

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

MCQ▾

Question

In a random sampling from Normal population Equation the likelihood estimators of mean and variance are

Choices

Choice (4) Response

a.

Variance is Unbiased

b.

Mean is biased

c.

Both a. and b. are correct

d.

Question does not provide sufficient data or is vague

Question number: 44

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

MCQ▾

Question

MLE’s are always consistent and unbiased estimators. This statement is

Choices

Choice (4) Response

a.

False

b.

True

c.

Always Unbiased estimators

d.

Question does not provide sufficient data or is vague

Question number: 45

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

MCQ▾

Question

In a random sampling from Normal population Equation the Maximum Likelihood estimator for Equation is

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 46

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

MCQ▾

Question

The estimate of the Equation of a population having density function

Equation is

Choices

Choice (4) Response

a.

Not an Unbiased estimate of Equation

b.

Unbiased estimate of Equation

c.

Unbiased estimate of Equation

d.

Question does not provide sufficient data or is vague

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