ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 65 - 69 of 253

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Question number: 65

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

MCQ▾

Question

If T is the MLE of and is one to one function of , then is the MLE of . This is known as the

Choices

Choice (4) Response

a.

Asymptotic Normality of MLE

b.

Consistency property of MLE

c.

Invariance property of MLE

d.

None of the above

Question number: 66

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

MCQ▾

Question

If

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

Choices

Choice (4) Response

a.

Minimum Variance Unbiased Estimator (MVUE)

b.

Sufficient Estimator

c.

Efficient Estimator

d.

Consistent Estimator

Question number: 67

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

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Variance is biased

b.

Mean is unbiased

c.

Both a. and b. are correct

d.

Question does not provide sufficient data or is vague

Question number: 68

» 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: 69

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

MCQ▾

Question

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

Choices

Choice (4) Response

a.

b.

c.

d.

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