ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 70 - 74 of 246

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Question number: 70

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

MCQ▾

Question

The estimate of the Equation of a population having density function

Equation is

Choices

Choice (4) Response

a.

Not an Unbiased estimate of Equation

b.

Unbiased estimate of Equation

c.

Unbiased estimate of Equation

d.

Question does not provide sufficient data or is vague

Question number: 71

» 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.

Equation

b.

Equation

c.

Equation

d.

Question does not provide sufficient data or is vague

Question number: 72

» 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: 73

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

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

x

d.

Equation

Question number: 74

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

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Not unique

b.

Equation

c.

Unique

d.

None of the above

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