Statistical Inference and Hypothesis Testing (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 72 - 76 of 222

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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 . the means of the four populations are , , and . The MLE of is

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 74

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

MCQ▾

Question

The estimate of the of a population having density function is

Choices

Choice (4) Response

a.

b.

c.

α

d.

Question number: 75

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

MCQ▾

Question

In a random sampling from Normal population the maximum likelihood estimators of mean, ) is

Choices

Choice (4) Response

a.

Biased

b.

Unbiased

c.

Unbiased and Consistent

d.

None of the above

Question number: 76

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

MCQ▾

Question

Let denote a random sample of size n from a uniform population with p. d. f.

. The MLE of is

Choices

Choice (4) Response

a.

MLE is Unique

b.

MLE lies between

c.

MLE does not exists

d.

All of the above

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