Statistical Inference and Hypothesis Testing-Estimation Methods of Maximum Likelihood (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 11 - 15 of 35

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Question number: 11

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

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 12

» 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: 13

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

MCQ▾

Question

Maximum Likelihood Estimator (MLE) is the same regardless of whether we maximize the likelihood or the log-likelihood function. This statement is

Choices

Choice (4) Response

a.

False

b.

True

c.

True only if L < 0

d.

Question does not provide sufficient data or is vague

Question number: 14

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

MCQ▾

Question

MLE’s are always consistent estimators. This Theorem is known as

Choices

Choice (4) Response

a.

Rao-Blackwell Theorem

b.

Baye’s Theorem

c.

Hazoor Bazar’s Theorem

d.

Cramer-Rao Theorem

Question number: 15

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

MCQ▾

Question

If MLE exists, it is the most efficient in the class of such estimators.

Choices

Choice (4) Response

a.

True only for some distributions

b.

False

c.

True

d.

None of the above

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