ISS Statistics Paper II (New 2016 MCQ Pattern): Questions 65 - 69 of 246

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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 Equation and Equation is one to one function of Equation , then Equation is the MLE of Equation . 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 Equation

Where Equation 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: 67

» 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: 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 Equation the Maximum Likelihood estimator for Equation is

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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