# 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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