Statistical Inference and Hypothesis Testing-Sufficient Estimator [ISS (Statistical Services) Statistics Paper II]: Questions 1 - 5 of 8

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Question 1

Question MCQ▾

Let be a random sample from a density function . A statistics

is said to be sufficient statistics if the conditional distribution of given T

Choices

Choice (4)Response

a.

Independent of

b.

Dependent of

c.

Independent of S

d.

Dependent of

Edit

Question 2

Question MCQ▾

If a statistics is a sufficient statistics for a parameter of the density function , then the conditional distribution of is … of for any value of

Choices

Choice (4)Response

a.

Dependent

b.

Either dependent or Independent

c.

Independent

d.

All of the above

Edit

Question 3

Question MCQ▾

A statistic is called as ________ Estimator for the parameter θ, if the conditional distribution of given T does not depend on θ.

Choices

Choice (4)Response

a.

Sufficient

b.

Maximum Likelihood estimator

c.

Efficient

d.

Unbiased

Edit

Question 4

Question MCQ▾

Let be a random sample from a uniform population on . Then the sufficient estimator for is

Choices

Choice (4)Response

a.

Either (i) or (ii)

b.

c.

d.

None of the above

Edit

Question 5

Question MCQ▾

Let be a random sample from . Then the sufficient estimator for is

Choices

Choice (4)Response

a.

b.

c.

d.

Question does not provide sufficient data or is vague

Edit