ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 71 - 77 of 253

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Question number: 71

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

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MCQ▾

Question

The equation of Maximum Likelihood Estimator (MLE) is given by

Choices

Choice (4)Response

a.

b.

c.

d.

All of the above

Question number: 72

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

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MCQ▾

Question

MLE’s are ________ consistent estimators.

Choices

Choice (4)Response

a.

Not

b.

May be

c.

Always

d.

All of the above

Question number: 73

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

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MCQ▾

Question

Consider a population having the density function . Maximum Likelihood Estimators MLE of the parameter is given by

Choices

Choice (4)Response

a.

b.

c.

d.

x

Question number: 74

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

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MCQ▾

Question

Let be a sample of independent observations from the uniform distribution on (θ, θ+1), where the value of the parameter is unknown Then the maximum Likelihood Estimator of θ is

Choices

Choice (4)Response

a.

Unique

b.

c.

Not unique

d.

None of the above

Question number: 75

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

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MCQ▾

Question

In a random sampling from Normal population the Maximum Likelihood estimator for, is

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 76

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

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MCQ▾

Question

Maximum Likelihood Estimators (MLE) of the parameter λ of a Poisson distribution is

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 77

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

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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.

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