Statistical Inference and Hypothesis Testing-Estimation Methods of Maximum Likelihood (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 25 - 29 of 35

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Question number: 25

» 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: 26

» 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: 27

» 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 σ2 . the means of the four populations are +b+c , a+bc , ab+c and abc . The MLE of a is

Choices

Choice (4) Response

a.

a^=x¯2

b.

a^=4x¯

c.

a^=2x¯

d.

a^=x¯

Question number: 28

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

MCQ▾

Question

The estimate of the MLE(α) of a population having density function 2α2(αx),0<α<x is

Choices

Choice (4) Response

a.

αx

b.

2α2

c.

α

d.

23α

Question number: 29

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

MCQ▾

Question

In a random sampling from Normal population N(μ,σ2), the maximum likelihood estimators of mean, MLE(μ ) is

Choices

Choice (4) Response

a.

Biased

b.

Unbiased

c.

Unbiased and Consistent

d.

None of the above

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