Statistical Inference and Hypothesis Testing-Estimation Methods of Maximum Likelihood (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 6 - 10 of 35

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Question number: 6

» 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: 7

» 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

Question number: 8

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

MCQ▾

Question

Consider a population having the density function 2α2(αx),0<x<α . Maximum Likelihood Estimators MLE of the parameter α is given by

Choices

Choice (4) Response

a.

2x

b.

α2

c.

x

d.

α

Question number: 9

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

MCQ▾

Question

Let x1,x2,,xn be a sample of independent observations from the uniform distribution on (θ, θ+1), where the value of the parameter θ is unknown (<θ<). Then the maximum Likelihood Estimator of θ is

Choices

Choice (4) Response

a.

Not unique

b.

θ^=x¯

c.

Unique

d.

None of the above

Question number: 10

» 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, is

Choices

Choice (4) Response

a.

μ^=x¯

b.

μ^=nx¯

c.

μ^=2x¯

d.

μ^=x¯n

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