Statistical Inference and Hypothesis Testing (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 69 - 73 of 222

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Question number: 69

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

MCQ▾

Question

In a random sampling from Normal population Equation suppose the MLE of mean is Equation , then simultaneous estimation of Equation is

Choices

Choice (4) Response

a.

Biased

b.

Unbiased

c.

Consistent and unbiased

d.

Consistent and not unbiased

Question number: 70

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

MCQ▾

Question

If a sufficient estimator exists, then it will be a function of the ________ Estimator.

Choices

Choice (4) Response

a.

Consistent

b.

Maximum Likelihood

c.

Unbiased

d.

All of the above

Question number: 71

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

MCQ▾

Question

Uniformly minimum-variance unbiased estimator (UMVUE) or minimum-variance unbiased estimator (MVUE) is an unbiased estimator that has ________ than any other unbiased estimator for all possible values of the parameter.

Choices

Choice (4) Response

a.

Maximum variance

b.

Minimum variance

c.

zero variance

d.

None of the above

Question number: 72

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

MCQ▾

Question

Maximum likelihood method, is the procedure of finding the value of one or more parameters for a given statistic which makes the ________

Choices

Choice (4) Response

a.

Probability function a maximum

b.

Probability function a minimum

c.

Likelihood distribution a maximum

d.

Likelihood distribution a minimum

Question number: 73

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

MCQ▾

Question

A sample of size n is drawn from each of the four a normal populations which have the same variance Equation . the means of the four populations are Equation , Equation , Equation and Equation . The MLE of Equation is

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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