Statistical Inference and Hypothesis Testing-Estimation Methods of Maximum Likelihood (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 27 - 30 of 35

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Question number: 27

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

MCQ▾

Question

A sample of size n is drawn from each of the four a normal populations which have the same variance Equation . the means of the four populations are Equation , Equation , Equation and Equation . The MLE of Equation is

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 28

» 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.

Equation

b.

Equation

c.

α

d.

Equation

Question number: 29

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

MCQ▾

Question

In a random sampling from Normal population Equation the maximum likelihood estimators of mean, Equation ) is

Choices

Choice (4) Response

a.

Biased

b.

Unbiased

c.

Unbiased and Consistent

d.

None of the above

Question number: 30

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

MCQ▾

Question

Let Equation denote a random sample of size n from a uniform population with p. d. f.

Equation . The MLE of Equation is

Choices

Choice (4) Response

a.

MLE is Unique

b.

MLE lies between Equation

c.

MLE does not exists

d.

All of the above

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