ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 79 - 85 of 253

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Question 79

Question

MCQ▾

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.

True only if L < 0

b.

True

c.

False

d.

None of the above

Question 80

Question

MCQ▾

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

Choices

Choice (4)Response

a.

Cramer-Rao Theorem

b.

Baye՚s Theorem

c.

Hazoor Bazar՚s Theorem

d.

Rao-Blackwell Theorem

Question 81

Question

MCQ▾

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.

All of the above

Question 82

Question

MCQ▾

The MLE of the parameter α of the distribution ‎ is given by

Choices

Choice (4)Response

a.

b.

c.

d.

Question 83

Question

MCQ▾

Consider a function of the sample values. is said to be Maximum Likelihood Estimator (MLE) if

Choices

Choice (4)Response

a.

b.

c.

d.

Question does not provide sufficient data or is vague

Question 84

Question

MCQ▾

The maximum Likelihood Estimator of θ in is

Choices

Choice (4)Response

a.

Does not exists

b.

c.

d.

Question does not provide sufficient data or is vague

Question 85

Question

MCQ▾

The principle of Maximum Likelihood consists of finding an estimator, which ________ the likelihood function.

Choices

Choice (4)Response

a.

Maximizes or Minimizes

b.

Maximizes

c.

Minimizes

d.

Question does not provide sufficient data or is vague