Statistical Inference and Hypothesis Testing-Estimation Methods of Maximum Likelihood (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 20 - 24 of 35

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Question number: 20

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

MCQ▾

Question

In a random sampling from Normal population N(μ,σ2), suppose the MLE of mean is μ^=x¯ is given then MLE of σ2 is

Choices

Choice (4) Response

a.

MLE(σ2)=σ2

b.

MLE(σ2)=2σ2

c.

MLE(σ2)=1nσ2

d.

MLE(σ2)=s2(samplevariance)

Question number: 21

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

MCQ▾

Question

Under certain regularity conditions, a maximum likelihood estimator is ________ distributed.

Choices

Choice (4) Response

a.

Asymptotically Poisson

b.

Uniformly

c.

Asymptotically Normally

d.

Question does not provide sufficient data or is vague

Question number: 22

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

MCQ▾

Question

Which of the following are the methods of Estimation?

Choices

Choice (4) Response

a.

Method of Minimum Chi-square

b.

Method of Maximum Likelihood Estimation

c.

Method of Minimum Variance

d.

All a. , b. and c. are correct

Question number: 23

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

MCQ▾

Question

In sampling from a normal population N(μ,σ2) , MLE ( μ ) is the

Choices

Choice (4) Response

a.

Most efficient estimator

b.

Consistent estimator

c.

Unbiased estimator

d.

All a. , b. and c. are correct

Question number: 24

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

MCQ▾

Question

In a random sampling from Normal population N(μ,σ2), suppose the MLE of mean is μ^=x¯ , then simultaneous estimation of σ2 is

Choices

Choice (4) Response

a.

Biased

b.

Unbiased

c.

Consistent and unbiased

d.

Consistent and not unbiased

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