Statistical Inference and Hypothesis Testing (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 44 - 48 of 222

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Question number: 44

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

MCQ▾

Question

MLE’s are always consistent and unbiased estimators. This statement is

Choices

Choice (4) Response

a.

False

b.

True

c.

Always Unbiased estimators

d.

Question does not provide sufficient data or is vague

Question number: 45

» 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 estimator for σ2 is

Choices

Choice (4) Response

a.

σ^2=1ni=1n(xiμ)2

b.

σ^2=1n2i=1n(xiμ)2

c.

σ^2=i=1n(xiμ)2

d.

σ^2=1n1i=1n(xiμ)2

Question number: 46

» 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.

Not an Unbiased estimate of α

b.

Unbiased estimate of α2

c.

Unbiased estimate of α

d.

Question does not provide sufficient data or is vague

Question number: 47

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

MCQ▾

Question

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

Choices

Choice (4) Response

a.

logLθ>0

b.

logLθ=0

c.

logLθ<0

d.

Question does not provide sufficient data or is vague

Question number: 48

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

MCQ▾

Question

MLE’s are ________ consistent estimators.

Choices

Choice (4) Response

a.

Not

b.

Always

c.

May be

d.

None of the above

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