Statistical Inference and Hypothesis Testing-Estimation Methods of Maximum Likelihood (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 11 - 14 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 λ of a Poisson distribution is

Choices

Choice (4) Response
a.

MLE(λ)=λx¯

b.

MLE(λ)=x¯

c.

MLE(λ)=2x¯

d.

MLE(λ)=nx¯

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 σ2 . the means of the four populations are +b+c , a+bc , ab+c and abc . The MLE of c is

Choices

Choice (4) Response
a.

c^=12(x¯1+x¯2+x¯3+x¯4)

b.

c^=14(x¯1+x¯2x¯3x¯4)

c.

c^=14(x¯1x¯2+x¯3x¯4)

d.

c^=14(x¯1x¯2x¯3x¯4)

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

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