Statistical Inference and Hypothesis Testing-Sufficient Estimator (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 1 - 4 of 8

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Question number: 1

» Statistical Inference and Hypothesis Testing » Sufficient Estimator

MCQ▾

Question

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 S

b.

Dependent of

c.

Dependent of

d.

Independent of

Question number: 2

» Statistical Inference and Hypothesis Testing » Sufficient Estimator

MCQ▾

Question

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

Question number: 3

» Statistical Inference and Hypothesis Testing » Sufficient Estimator

MCQ▾

Question

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.

Unbiased

b.

Maximum Likelihood estimator

c.

Efficient

d.

Sufficient

Question number: 4

» Statistical Inference and Hypothesis Testing » Sufficient Estimator

MCQ▾

Question

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

Choices

Choice (4) Response

a.

b.

Either (i) or (ii)

c.

d.

Question does not provide sufficient data or is vague

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